# zbMATH — the first resource for mathematics

## Svoboda, Zdeněk

Compute Distance To:
 Author ID: svoboda.zdenek Published as: Svoboda, Z.; Svoboda, Zdenek; Svoboda, Zdeněk External Links: ORCID
 Documents Indexed: 26 Publications since 1975
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#### Co-Authors

 6 single-authored 15 Diblík, Josef 9 Šmarda, Zdeněk 5 Berezansky, Leonid M. 4 Rachůnek, Jiří 2 Khusainov, Denis Ya. 1 Khan, Yasir 1 Kukharenko, Oleksandra 1 Růžičková, Miroslava
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#### Serials

 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Applied Mathematics and Computation 2 Mathematica Bohemica 2 Angewandte Informatik 2 Abstract and Applied Analysis 2 Electronic Journal of Qualitative Theory of Differential Equations 1 Computers & Mathematics with Applications 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Demonstratio Mathematica 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Mathematica Slovaca 1 Journal of Dynamics and Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Discrete and Continuous Dynamical Systems. Series B 1 Central European Journal of Mathematics 1 Advances in Difference Equations 1 Discrete and Continuous Dynamical Systems. Series S
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#### Fields

 18 Ordinary differential equations (34-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 Mathematical logic and foundations (03-XX) 2 Numerical analysis (65-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX)

#### Citations contained in zbMATH

18 Publications have been cited 87 times in 64 Documents Cited by Year
Positive solutions of $$p$$-type retarded functional differential equations. Zbl 1109.34058
Diblík, Josef; Svoboda, Zdeněk
2006
Explicit criteria for the existence of positive solutions for a scalar differential equation with variable delay in the critical case. Zbl 1155.34337
Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk
2008
Retract principle for neutral functional differential equations. Zbl 1238.34143
Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk
2009
An existence criterion of positive solutions of $$p$$-type retarded functional differential equations. Zbl 1019.34072
Diblík, Josef; Svoboda, Zdeněk
2002
Solution of the first boundary-value problem for a system of autonomous second-order linear partial differential equations of parabolic type with a single delay. Zbl 1250.35117
Diblík, Josef; Khusainov, Denis; Kukharenko, Oleksandra; Svoboda, Zdeněk
2012
Positive solutions of retarded functional differential equations. Zbl 1224.34249
Diblík, Josef; Svoboda, Zdeněk
2005
Simple uniform exponential stability conditions for a system of linear delay differential equations. Zbl 1328.34066
Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk
2015
Solving certain classes of Lane-Emden type equations using the differential transformation method. Zbl 1380.34027
Khan, Yasir; Svoboda, Zdeněk; Šmarda, Zdeněk
2012
Interior and closure operators on bounded residuated lattices. Zbl 1408.03037
Rachůnek, Jiří; Svoboda, Zdeněk
2014
Instable trivial solution of autonomous differential systems with quadratic right-hand sides in a cone. Zbl 1211.34066
Khusainov, D. Ya.; Diblík, J.; Svoboda, Z.; Šmarda, Z.
2011
Exponential stability of linear delayed differential systems. Zbl 1426.34094
Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk
2018
Exponential stability tests for linear delayed differential systems depending on all delays. Zbl 1429.34074
Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk
2019
Uniform exponential stability of linear delayed integro-differential vector equations. Zbl 07269184
Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk
2021
Asymptotic unboundedness of the norms of delayed matrix sine and cosine. Zbl 1413.34211
Svoboda, Zdenek
2017
Interior and closure operators on commutative basic algebras. Zbl 1399.06031
Rachůnek, Jiří; Svoboda, Zdeněk
2017
New exponential stability conditions for linear delayed systems of differential equations. Zbl 1389.34227
Berezansky, Leonid; Diblik, Josef; Svoboda, Zdenek; Smarda, Zdenek
2016
Interior and closure operators on commutative bounded residuated lattices. Zbl 1326.03080
Rachůnek, Jiří; Svoboda, Zdeněk
2013
Asymptotic properties of one differential equation with unbounded delay. Zbl 1265.34274
Svoboda, Zdeněk
2012
Uniform exponential stability of linear delayed integro-differential vector equations. Zbl 07269184
Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk
2021
Exponential stability tests for linear delayed differential systems depending on all delays. Zbl 1429.34074
Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk
2019
Exponential stability of linear delayed differential systems. Zbl 1426.34094
Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk
2018
Asymptotic unboundedness of the norms of delayed matrix sine and cosine. Zbl 1413.34211
Svoboda, Zdenek
2017
Interior and closure operators on commutative basic algebras. Zbl 1399.06031
Rachůnek, Jiří; Svoboda, Zdeněk
2017
New exponential stability conditions for linear delayed systems of differential equations. Zbl 1389.34227
Berezansky, Leonid; Diblik, Josef; Svoboda, Zdenek; Smarda, Zdenek
2016
Simple uniform exponential stability conditions for a system of linear delay differential equations. Zbl 1328.34066
Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk
2015
Interior and closure operators on bounded residuated lattices. Zbl 1408.03037
Rachůnek, Jiří; Svoboda, Zdeněk
2014
Interior and closure operators on commutative bounded residuated lattices. Zbl 1326.03080
Rachůnek, Jiří; Svoboda, Zdeněk
2013
Solution of the first boundary-value problem for a system of autonomous second-order linear partial differential equations of parabolic type with a single delay. Zbl 1250.35117
Diblík, Josef; Khusainov, Denis; Kukharenko, Oleksandra; Svoboda, Zdeněk
2012
Solving certain classes of Lane-Emden type equations using the differential transformation method. Zbl 1380.34027
Khan, Yasir; Svoboda, Zdeněk; Šmarda, Zdeněk
2012
Asymptotic properties of one differential equation with unbounded delay. Zbl 1265.34274
Svoboda, Zdeněk
2012
Instable trivial solution of autonomous differential systems with quadratic right-hand sides in a cone. Zbl 1211.34066
Khusainov, D. Ya.; Diblík, J.; Svoboda, Z.; Šmarda, Z.
2011
Retract principle for neutral functional differential equations. Zbl 1238.34143
Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk
2009
Explicit criteria for the existence of positive solutions for a scalar differential equation with variable delay in the critical case. Zbl 1155.34337
Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk
2008
Positive solutions of $$p$$-type retarded functional differential equations. Zbl 1109.34058
Diblík, Josef; Svoboda, Zdeněk
2006
Positive solutions of retarded functional differential equations. Zbl 1224.34249
Diblík, Josef; Svoboda, Zdeněk
2005
An existence criterion of positive solutions of $$p$$-type retarded functional differential equations. Zbl 1019.34072
Diblík, Josef; Svoboda, Zdeněk
2002
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#### Cited by 75 Authors

 21 Diblík, Josef 13 Šmarda, Zdeněk 9 Svoboda, Zdeněk 7 Berezansky, Leonid M. 5 Olach, Rudolf 4 Dorociaková, Božena 3 Baštinec, Jaromír 3 Pospíšil, Michal 3 Rebenda, Josef 3 Stamova, Ivanka Milkova 2 Agarwal, Ravi P. 2 Braverman, Elena 2 Chajda, Ivan 2 Domoshnitsky, Alexander I. 2 Fečkan, Michal 2 Han, Zhenlai 2 Khan, Yasir 2 Kubjatková, Martina 2 Li, Tongxing 2 Morávková, Blanka 2 Stamov, Gani Trendafilov 2 Zhang, Chenghui 1 Abbas, Mohamed I. 1 Azizbayov, Elvin Ibrahim 1 Benhammouda, Brahim 1 Bhrawy, Ali Hassan 1 Bonotto, Everaldo M. 1 Chupáč, Radoslav 1 Ciungu, Lavinia Corina 1 Culáková, I. 1 Demidenko, Gennadiĭ Vladimirovich 1 Doha, Eid H. 1 Federson, Márcia 1 Gimenes, Luciene P. 1 Gümgüm, Sevin 1 Hafez, Ramy Mahmoud 1 Hamal, Ahmet 1 Hanuštiaková, L’ubica 1 Hernandez-Martínez, Luis 1 Huang, Lihong 1 Kalas, Josef 1 Kang, Shin Min 1 Khokhlova, T. N. 1 Khusainov, Denis Ya. 1 Kipnis, Mikhail Markovich 1 Kúdelčíková, Mária 1 Kwun, Young Chel 1 Länger, Helmut M. 1 Le Van Hien 1 Li, Hua 1 Liu, Zeqing 1 Malygina, V. V. 1 Matveeva, Inessa Izotovna 1 Mencáková, Kristýna 1 Meng, Fanwei 1 Najmanová, Anna 1 Nowak, Christine 1 Pokojovy, Michael 1 Rachůnek, Jiří 1 Rajchakit, Grienggrai 1 Rajchakit, Manlika 1 Ray, Sumita Saha 1 Sahu, Prakash Kumar 1 Šalounová, Dana 1 Sangapate, Prisayarat 1 Santra, Shyam Sundar 1 Stević, Stevo 1 Sun, Ying 1 Trinh, Hieu Minh 1 Tripathy, Arun Kumar 1 van Gorder, Robert Ashton 1 Vázquez-Leal, Héctor 1 Vũ Ngoc Phát 1 Wang, Xiaoli 1 Xiong, Peiying
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#### Cited in 31 Serials

 13 Abstract and Applied Analysis 8 Advances in Difference Equations 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Applied Mathematics Letters 4 Applied Mathematics and Computation 2 Fuzzy Sets and Systems 2 Soft Computing 2 Discrete and Continuous Dynamical Systems. Series S 1 Computers & Mathematics with Applications 1 Journal of Mathematical Analysis and Applications 1 Reports on Mathematical Physics 1 Ukrainian Mathematical Journal 1 Advances in Mathematics 1 Glasgow Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Mathematische Nachrichten 1 SIAM Journal on Control and Optimization 1 Applied Numerical Mathematics 1 Mathematical and Computer Modelling 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Journal of Dynamics and Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Nonlinear Dynamics 1 Journal of Inequalities and Applications 1 Discrete Dynamics in Nature and Society 1 Journal of Dynamical and Control Systems 1 Journal of Applied Mathematics and Computing 1 International Journal of Wavelets, Multiresolution and Information Processing
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#### Cited in 16 Fields

 49 Ordinary differential equations (34-XX) 7 Difference and functional equations (39-XX) 5 Numerical analysis (65-XX) 5 Systems theory; control (93-XX) 4 Mathematical logic and foundations (03-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Integral equations (45-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX) 1 Biology and other natural sciences (92-XX)