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Научни приноси на гл. ас. д-р Svetlin Georgiev

Author ID (SCOPUS):https://orcid.org/0000-0001-8015-4226

Researcher ID (Web of Science):https://orcid.org/0000-0001-8015-4226

ORCID ID:https://orcid.org/0000-0001-8015-4226
Глава от книга
Svetlin G. Georgiev, Oscillation Criteria for First Order Partial Dynamic Equations with Several Delays on Time Scales, book chapter in "Asymptotic Behavior-An Overview", ISBN: 978-1-53617-223-2, 2019, Nova Science Publisher., Ref, Рецензирано 2019
Дисертация д-р
Svetlin Georgiev, Periodic Solutions for Non-autonomous Lotka-Volterra Systems , , Ръководител:Dimitar Petrov 2002
Книга
1 Svetlin G. Georgiev, (with Inci Erhan) Nonlinear Integral Equations on Time Scales, Nova Science Publisher, ISBN: 978-1536150216, Ref, Рецензирано, International 2019
2 Svetlin G. Georgiev, (with K. Zennir) Functional Analysis with Applications, De Gruyter, ISBN: 978-3110657692, International 2019
3 Svetlin G. Georgiev, Functional Dynamic Equations on Time Scales, Springer, ISBN: 978-3030154226, Ref, Рецензирано 2019
4 Svetlin G. Georgiev, Variational Calculus on Time Scales-Part II. ISBN: 978-613-9-93294-8., ISBN:978-613-9-93294-8, Lambert Academic Publishing, Ref, Рецензирано 2019
5 Svetlin G. Georgiev, Fractional Dynamic Calculus and Fractional Dynamic Equations, Springer, ISBN: 978-3319739533, Ref, Рецензирано 2018
6 Svetlin G. Georgiev, Variational Calculus on Time Scales, Nova Science Publisher, ISBN: 978-1536143235 2018
7 Svetlin G. Georgiev, (with Martin Bohner)Multivariable Dynamic Calculus on Time Scales, Springer, ISBN: 978-3319476193, Ref, Рецензирано, International 2017
8 Svetlin G. Georgiev, Foundations of Iso-Differential Calculus, Vol. VI, Nova Science Publishing House, ISBN: 978-1634850216, Ref, Рецензирано 2016
9 Svetlin G. Georgiev, Integral Equations on Time Scales, Springer, ISBN: 978-9462392274, Ref, Рецензирано 2016
10 Svetlin G. Georgiev, Partial Differential Equations-An Introduction, Lambert Academic Publishing, ISBN: 978-3330017689, Ref, Рецензирано 2016
11 Svetlin G. Georgiev, Foundations of Iso-Differential Calculus, Vol. IV, Nova Science Publishing House, ISBN: 978-1634820165, Ref, Рецензирано 2015
12 Svetlin G. Georgiev, Foundations of Iso-Differential Calculus, Vol. V, Nova Science Publishing House, ISBN: 978-1634821469, Ref, Рецензирано 2015
13 Svetlin G. Georgiev, Theory of Distributions, Springer, ISBN: 978-3319195261, Ref, Рецензирано 2015
14 Svetlin G. Georgiev, (with Joao Morais and Wolfgang Sproessig) Real Quaternionic Calculus, Springer, ISBN: 978-3034806213, Ref, Рецензирано, International 2014
15 Svetlin G. Georgiev, Foundations of Iso-Differential Calculus, Vol. I, Nova Publishing House, ISBN: 978-1626181601, Ref, Рецензирано 2014
16 Svetlin G. Georgiev, Foundations of Iso-Differential Calculus, Vol. II, Nova Science Publishing House, ISBN: 978-1633217584, Ref, Рецензирано 2014
17 Svetlin G. Georgiev, Foundations of Iso-Differential Calculus, Vol. III, Nova Science Publishing House, ISBN: 978-1634633239, Ref, Рецензирано 2014
Монография
1 Svetlin G. Georgiev, (with D. Anderson) Conformable Dynamic Equations on Time Scales, CRC Press, 2020, ISBN 9780367517014. 2020
2 Svetlin G. Georgiev, (with Z. Khaled)Multiple Fixed-Point Theorems with Applications in ODE, FDE and PDE, CRC, CRC Press, 2020, ISBN 9780367464325. 2020
3 Svetlin G. Georgiev, Focus on Calculus, Nova Science Publisher, 2020, ISBN 978-1-53617-337-6. 2020
4 Svetlin G. Georgiev, Impulsive Dynamic Equations on Time Scales, Lap-Lambert Publishing House, 2020, ISBN 978-620-2-66717-3. 2020
5 Svetlin G. Georgiev, S. Georgiev. Integral Inequalities on Time Scales, De Gryuter, 2020., Рецензирано 2020
Редактор на издание реферирано
1 Svetlin Georgiev, chief editor, CACAA, Редактор на издание реферирано 2012
2 Svetlin Georgiev, CACAA, Редактор на издание реферирано 2012
Статия в научно списание
1 Svetlin G. Georgiev, S. Georgiev and G. Davidi. Existence and Smoothness of a Class of Burgers Equations, Partial Differential Equations in Applied Mathematics, 3(2021)100027., Partial Differential Equations in Applied Mathematics, 2021, Ref, Web of Science 2021
2 Svetlin G. Georgiev, S. Georgiev and I. Erhan. Adomian polynomial method for dynamic equations on time scales, Advances in the Theory of Nonlinear Analysis and its Applications, Vol. 5, Issue 3, 2021, pp. 300-315., Advances in the Theory of Nonlinear Analysis and its Applications, 2021, Ref, Web of Science 2021
3 Svetlin G. Georgiev, S. Georgiev and K. Mebarki. A New Multiple Fixed Point Theorem with Applications, Advances in the Theory of Nonlinear Analysis and its Applications, Vol. 5, Issue 3, 2021, pp. 393-411., ATNAA, 2021 2021
4 Svetlin G. Georgiev, S. Georgiev and K. Mebarki. Existence of positive solutions for a class of boundary value problems with $p$-Laplacian in Banach spaces, Journal of Contemporary Mathematical Analysis, Vol. 56, No. 4, 2021, pp. 39-43., Journal of Contemporary Mathematical Analysis, 2021, Ref, Web of Science 2021
5 Svetlin G. Georgiev, S. Georgiev and Z. Khaled. Decay of Wave Equation on Riemannian Manifolds Supplemented with a Variable Fractional Damping, Nonlinear Studies, Vol. 28, No. 1, 2021, pp. 219-226., Nonlinear Studies, 2021, Ref, Web of Science 2021
6 Svetlin G. Georgiev, S. Georgiev. Asymptotic behaviour of the solutions of a class of $(k+1)$-order rational difference equations, Sarajevo Journal of Mathematics, Vol. 16(29), No. 2, 2020, pp. 1-8., Sarajevo Journal of Mathematics, 2020, Ref, Web of Science 2020
7 Svetlin G. Georgiev, (with A. Boukarou, Z. Khaled, K. Guerbati) Well-posedness of the Cauchy problem of Ostrovsky equation in analytic Gevrey spaces and time regularity. Rendiconti del Circolo Matematico di Palermo Series 2, 2020, https://doi.org/10.1007/s12215-020-00504-7., Rendiconti del Circolo Matematico di Palermo Series 2, 2020, International 2020
8 Svetlin G. Georgiev, (with A. Boukarou, Z. Khaled, K. Guerbati) Well-posedness and regularity of the fifth order Kadomtsev-Petviashvili I equation in the analytic Bourgain spaces, ANNALI DELL'UNIVERSITA' DI FERRARA, 2020, https://doi.org/10.1007/s11565-020-00340-8., ANNALI DELL'UNIVERSITA' DI FERRARA, 2020, International 2020
9 Svetlin G. Georgiev, (with I. Erhan) The Taylor series method and trapezoidal rule on time scales, Applied Mathematics and Computations, Vol. 378, Issue C, 2020, DOI: 10.1016/j.amc.2020.125200., Applied Mathematics and Computations, 2020, International 2020
10 Svetlin G. Georgiev, (with M. Bohner and I. Erhan) The Euler method for dynamic equations on time scales. Nonlinear Studies, Vol. 27, No. 2, pp. 415-431(2020)., Nonlinear Studies, 2020, International 2020
11 Svetlin G. Georgiev, (with R. Jday) Bochner-Minlos Theorem in the Framework of Clifford Analysis, Rendiconti del Circolo Matematico di Palermo Series 2, 2020, https://doi.org/10.1007/s12215-020-00487-5., Rendiconti del Circolo Matematico di Palermo Series 2, 2020, International 2020
12 Svetlin G. Georgiev, (with R. Jday) Brownian Motion in the framework of Quaternion Analysis, Stochastic Analysis and Applications, Vol. 38, No. 4, 2020, pp. 601-622, https://doi.org/10.1080/07362994.2019.1708752., Stochastic Analysis and Applications, 2020, International 2020
13 Mohammadizadeh, F., Tehrani, H.A., Georgiev, S.G., An optimal control problem associated to a class of fractional Burgers' equations, Asian-European Journal of Mathematics, vol:13, issue:4, 2020, doi:10.1142/S1793557120500795 2020
14 Svetlin G. Georgiev, Asymptotic behaviour of the solutions of a class of $(k+1)$-order rational difference equations, Sarajevo Journal of Mathematics, Vol. 16(29), No. 2, 2020, pp. 1-8., Sarajevo Journal of Mathematics, vol:16(29), issue:2, 2020, pages:1-8 2020
15 Svetlin G. Georgiev, Asymptotic behaviour of the solutions of a class of rational difference equations. Nonlinear Studies, Vol. 27, No. 2, pp. 389-392(2020)., Nonlinear Studies, 2020 2020
16 Svetlin G. Georgiev, S. Georgiev and M. Majdoub. "Existence of solutions for a class of IBVP for nonlinear hyperbolic equations", SN Partial Differ. Equ. Appl. 1, 22 (2020). https://doi.org/10.1007/s42985-020-00023-1, SN Partial Differ. Equ. Appl., 2020, Ref, Web of Science 2020
17 Svetlin G. Georgiev, S. Georgiev and Z. Khaled. Classical nonnegative solutions for a class IVP for nonlinear three-dimensional wave equations, Applied Sciences, Vol. 22, 2020, pp. 66-72., Applied Sciences, 2020, Ref, Web of Science 2020
18 Svetlin G. Georgiev, S. Georgiev and Z. Khaled. Classical solutions for a class of IVP for nonlinear two-dimensional wave equations via new fixed point approach, Partial Differential Equations in Applied mathematics, 2(2020)100014., Partial Differential Equations in Applied mathematics, 2020 2020
19 Svetlin G. Georgiev, (with F. Mohammadizadeh, . H. Tehrani and M. Noori) On the solution of fractional Burgers equation and its optimal control problem., Analysis in Theory and Applications, vol:35, issue:4, 2019, pages:405-420, Ref, Web of Science 2019
20 Svetlin G. Georgiev, (with F. Mohammadizadeh, H. Tehrani and M. Skandari. A Novel Proof on the Existence of the Solution of Fractional Control Problem Coverned by Burgers Equations. , Journal of Partial Differential Equations, vol:32, issue:2, 2019, pages:129-143, Ref 2019
21 Svetlin G. Georgiev, (with I. Erhan) Series Solution Method for Cauchy Problems with Fractional $\Delta$- Derivative on Time Scales. , Fractional Differential Calculus, vol:9, issue:2, 2019, pages:243-261, Ref 2019
22 Svetlin G. Georgiev, (with K. Mebarki.Existence of positive solutions for a class ODEs, FDEs and PDEs via fixed point index theory for the sum of operators., Communications on Applied Nonlinear Analysis, vol:26, issue:4, 2019, pages:16-40, Ref, Web of Science 2019
23 Svetlin G. Georgiev, (with R. Jday and Z. Khaled) Results on the existence and smoothness for new class nd Navier-Stokes equations., Rocky Mountain Journal of Mathematics, vol:49, issue:5, 2019, pages:1595-1615, Ref, Web of Science 2019
24 Svetlin G. Georgiev, (with Yu Huang, M. H. Noori Skandari, F Mohammadizadeh, Hahsani Tehrani)Space-time spectral collocation method for solving Burgers equations with the convergence analysis., Symmetry, 2019, doi:https://doi.org/10.3390/sym11121439 2019
25 Svetlin G. Georgiev, (with Z. Khaled) New approach to prove the existence of classical solutions for a class nonlinear parabolic equations., CUBO, 2018 2018
26 Svetlin G. Georgiev, (with Z. Khaled)New results on the blow-up of the solutions for Emden-Fowler wave equation, Bol. Soc. Paran.Mat., 2018, Ref, Web of Science, International, PhD 2018
27 Svetlin G. Georgiev, (with Z. Khaled)New results on IBVP for Class of Nonlinear Parabolic Equations., ATNAA, 2018 2018
28 Svetlin G. Georgiev, Introduction to Conformable Iso-Differential Calculus, AGG, 2018 2018
29 Svetlin G. Georgiev, Global stability of the solutions of some nonlinear systems of iso-differentail equations, Hadronic Mechanics, 2017, Ref, Web of Science 2017
30 Svetlin G. Georgiev, On the qualitative analysis of iso-differential equations of higher order, Modern Physics, 2017, Ref, Web of Science 2017
31 Svetlin G. Georgiev, Global existence of classical solutions for a class nonlinear hyperbolic equations, IJEE, 2016, Ref, Web of Science 2016
32 Svetlin G. Georgiev, Global existence of classical solutions for a class nonlinear parabolic equations, IJNTR, 2016, Ref, Web of Science 2016
33 Svetlin G. Georgiev, Volterra Integro-Differential Equations on Time Scales, IJACM, 2016, Ref, Web of Science 2016
34 Svetlin G. Georgiev, (with T. Xiang) Noncompact-type Krasnoselskii fixed point theorems and their applications, MMAS, 2015, Ref, Web of Science, International, PhD 2015
35 Svetlin G. Georgiev, Measurable Iso-Functions, American Journal of Modern Physics, 2015, Ref, Web of Science 2015
36 Svetlin G. Georgiev, Studies on Iso-Hilbert spaces, AGG, 2015, Ref, Web of Science 2015
37 Svetlin G. Georgiev, Geno-measurable geno-sets and their properties, CACAA, 2014, Ref 2014
38 Svetlin G. Georgiev, Iso-Calculus of Variations, JHM, 2014, Ref 2014
39 Svetlin G. Georgiev, Iso-Hilbert Iso-Calculus, AGG, 2014, Ref, Web of Science 2014
40 Svetlin G. Georgiev, Elements of Santilli Lie-isotopic time evolution theory, Hadronic Journal, 2013, Ref 2013
41 Svetlin G. Georgiev, (with J. Morais and W. Sproessig) On Clifford-Fourier transform , CACAA, 2012, Ref, International 2012
42 Svetlin G. Georgiev, Existence of classical solutions for a class nonlinear wave equations, GJSFR, 2012, Ref, Web of Science 2012
43 Svetlin G. Georgiev, Existence of solutions for first order nonlinear ordinary differential equations, Nonlinear Studies, 2012, Ref 2012
44 Svetlin G. Georgiev, Global existence of classical solutions for a class nonlinear parabolic equations, GJSFR, 2012, Ref, Web of Science 2012
45 Svetlin G. Georgiev, On a Sturm-Lioville like four point boundary value problem , GJSFR, 2012, Ref, Web of Science 2012
46 Svetlin G. Georgiev, Periodic solutions for a class nonlinear parabolic equations, Applicable Analysis, 2012, Ref, Web of Science 2012
47 Svetlin G. Georgiev, (with J. Morais and W. Sproessig) New aspects of elementary functions in the context of quaternion analysis, CUBO, 2011, Ref, International 2011
48 Svetlin G. Georgiev, (with M. Kirane) Local and global existence for a class integro-differential equations, Nonlinear Analysis, RWA, 2011, Ref, Web of Science, International 2011
49 Svetlin G. Georgiev, Blow up of the solutions for a class nonlinear wave equations, Pacific Journal of Applied Mathematics, 2011, Ref 2011
50 Svetlin G. Georgiev, Fundamental existence theorems for first order nonlinear ordinary differential equations, AMSA, 2010, Ref 2010
51 Svetlin G. Georgiev, Global existence for nonlinear wave equations, Dyn. of PDE, 2010, Ref, Web of Science 2010
52 Svetlin G. Georgiev, Periodic solutions to the nonlinear parabolic equations, IJEE, 2010, Ref 2010
53 Svetlin G. Georgiev, (with P. LeFloch) Generalised time-periodic solutions to the Euler equations of compressible fluids, DEA, 2009, Ref, International 2009
54 Svetlin G. Georgiev, Blow up of the solutions of the nonlinear parabolic equation, Dyn. PDE, 2009, Ref, Web of Science 2009
55 Svetlin G. Georgiev, Positive periodic solutions to the Kolmogorov's system, Nonlinear Studies, 2009, Ref 2009
56 Svetlin G. Georgiev, Positive periodic solutions to the nonlinear wave equation, DEA, 2009, Ref 2009
57 Svetlin G. Georgiev, On the uniform continuity of the solution map for a nonlinear wave equation, JHDE, 2008, Ref, Web of Science 2008
58 Svetlin G. Georgiev, Blow up of the solutions of nonlinear wave equation, BVP , 2007, Ref 2007
59 Svetlin G. Georgiev, Positive periodic solutions for the Korteweg de Vries equation, EJDE, 2007, Ref 2007
60 Svetlin G. Georgiev, Positive periodic solutions for the nonlinear parabolic equation, Far East J. of Dyn. Systems, 2007, Ref 2007
61 Svetlin G. Georgiev, Uniform continuity of the solution map for a nonlinear wave equation, EJQTDE, 2007, Ref 2007
62 Svetlin G. Georgiev, Blow up of the solutions of nonlinear wave equation in Reissner-Nordstrom metric, Dyn. of PDE, 2006, Ref, Web of Science 2006
63 Svetlin G. Georgiev, Blow up of the solutions for Klein-Gordon equation in Reissner-Nordstrom metric, EJDE, 2005, Ref 2005
64 Svetlin G. Georgiev, Blow up of the solutions to a nonlinear wave equation, EJDE, 2004 2004
65 Svetlin G. Georgiev, On the uniform continuity of the solution map for two dimensional wave map, EJQTDE, 2003, Ref, Web of Science 2003
Статия в поредица
Svetlin G. Georgiev, (with Z. Khaled and M. Bayoud) Decay of the solutions for degenerate wave equation of Kirchoff type in viscoelsticity, IJACM, 2018, Ref, Web of Science, International, PhD 2018
Участие в конференция
1 Секционен доклад, Svetlin Georgiev, Snow Type Inequalities on Time Scales 2018
2 Секционен доклад, Svetlin Georgiev, Foundations of Iso-Differential Calculus 2018
3 Секционен доклад, Svetlin Georgiev, Series Solution Method on Time Scales 2017
4 Секционен доклад, Svetlin Georgiev, Brownian Motion on Time Scales 2017
5 Секционен доклад, Svetlin Georgiev, Santilli Iso-Dual Theory 2016
6 Секционен доклад, Svetlin Georgiev, Note on Teodorescu-Moisil System 2016
7 Секционен доклад, Светлин Георгиев, Iso-Integral Equations 2016
8 Секционен доклад, Светлин Георгиев, Integro-Differential Equations 2016
9 Секционен доклад, Svetlin Georgiev, Iso-Ito Calculus 2015
10 Секционен доклад, Svetlin Georgiev, Brownian Iso-Motion and Properties 2015
11 Секционен доклад, Svetlin Georgiev, Introduction to Iso-Conservation Laws 2015
12 Секционен доклад, Svetlin Georgiev, Iso-Lebesgue Integral 2015
13 Секционен доклад, Svetlin Georgiev, Iso-Stochastic Partial Differential Equations 2014
14 Секционен доклад, Svetlin Georgiev, Advances in Iso-Mathematics 2014
15 Секционен доклад, Svetlin Georgiev, Monogenic Hilger-quaternion functions 2014
16 Секционен доклад, Svetlin Georgiev, Multiple Iso-Integrals 2014
17 Секционен доклад, Svetlin Georgiev, Iso-functions and their properties 2013
18 Секционен доклад, Svetlin Georgiev, Iso-tensors 2013
19 Секционен доклад, Svetlin Georgiev, Hilbert Iso-Spaces 2013
20 Секционен доклад, Svetlin Georgiev, Iso-Differential Iso-Ordinary Iso-Equations of First Order 2013
21 Секционен доклад, Svetlin Georgiev, An Introduction to Hilger quaternion numbers 2013
22 Секционен доклад, Svetlin Georgiev, Iso-Hilbert Iso-Spaces 2013
23 Секционен доклад, Svetlin Georgiev, Iso-Fourier iso-integrals 2013
24 Секционен доклад, Svetlin Georgiev, Global existence for a class fractional-order differential equations 2012
25 Секционен доклад, Svetlin Georgiev, An explicit formula for the monogenic Szego kernel function on 3D spheroids 2012
26 Секционен доклад, Svetlin Georgiev, On the Bohner-Minlos Theorems in the Framework of Quaternion Analysis 2012
27 Секционен доклад, Svetlin Georgiev, Elementary functions in the context of commutative quaternion analysis 2012
28 Секционен доклад, Svetlin Georgiev, On the Clifford-Fourier-Stieltes transform 2012
29 Секционен доклад, Svetlin Georgiev, Trigonometric integrals in the framework of quaternion analysis 2011
30 Секционен доклад, Svetlin Georgiev, On convergence aspects of spheroidal monogenics 2011
31 Секционен доклад, Svetlin Georgiev, Bochner's theorems in the framework of quaternion analysis 2011
32 Секционен доклад, Svetlin Georgiev, Bochner-Minlos theorems in the framework of quaternion analysis 2011
33 Секционен доклад, Svetlin Georgiev, Global existence of classical solutions of a class nonlinear elliptic equations in the framework of Clifford analysis 2011
34 Секционен доклад, Svetlin Georgiev, New aspects of higher-order Teodorescu operators 2010
35 Секционен доклад, Svetlin Georgiev, Bolw-up of the solutions of a class nonlinear elliptic equations in the framework of Clifford analysis 2009
36 Секционен доклад, Svetlin Georgiev, Note on linear quaternion systems 2009
37 Секционен доклад, Svetlin Georgiev, Global well-posedness for a nonlinear parabolic equations in the framework of Clifford analysis 2009
38 Секционен доклад, Svetlin Georgiev, Blow-up of the solutions of nonlinear wave quations 2008
Участие в редколегия
Svetlin Georgiev, Mathematical Methods in the Appliead Sciences, Участие в редколегия 2009