## Leszczyński, Henryk

Compute Distance To:
 Author ID: leszczynski.henryk Published as: Leszczyński, Henryk; Leszczyński, H.; Leszczynski, H. Homepage: https://mat.ug.edu.pl/~hleszcz/
 Documents Indexed: 65 Publications since 1991 Co-Authors: 17 Co-Authors with 39 Joint Publications 144 Co-Co-Authors
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### Co-Authors

 26 single-authored 8 Zwierkowski, Piotr 7 Bartłomiejczyk, Agnieszka 6 Augustynowicz, Antoni 5 Lachowicz, Mirosław 5 Wrzosek, Monika 3 Kamont, Zdzisław 3 Matusik, Milena 3 Walter, Wolfgang 2 Karpowicz, Adrian 2 Parisot, Martin 2 Poliński, Artur 2 Topolski, Krzysztof A. 1 Bychowska, Agnieszka 1 Danielewski, Marek 1 Dudziuk, Grzegorz 1 Marciniak, Agnieszka 1 Szymańska, Zuzanna
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### Serials

 6 Annales Polonici Mathematici 4 Annales Societatis Mathematicae Polonae. Seria I. Commentationes Mathematicae 4 Functional Differential Equations 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Zeitschrift für Analysis und ihre Anwendungen 2 Applied Mathematics and Computation 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 Aequationes Mathematicae 2 Applicationes Mathematicae 2 Georgian Mathematical Journal 2 Mathematical Biosciences and Engineering 1 Applicable Analysis 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Calcolo 1 Czechoslovak Mathematical Journal 1 Demonstratio Mathematica 1 Mathematica Slovaca 1 Acta Mathematica Hungarica 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 Forum Mathematicum 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Computational Mathematics and Mathematical Physics 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Bollettino della Unione Matemàtica Italiana. Serie VII. A 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Zeszyty Naukowe Politechniki Gdańskiej 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica 1 ETNA. Electronic Transactions on Numerical Analysis 1 Opuscula Mathematica 1 Mathematical Problems in Engineering 1 Journal of Applied Analysis 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Discrete and Continuous Dynamical Systems. Series B 1 Boundary Value Problems 1 Wiadomości Matematyczne 1 Nonlinear Analysis. Theory, Methods & Applications
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### Fields

 53 Partial differential equations (35-XX) 28 Numerical analysis (65-XX) 15 Biology and other natural sciences (92-XX) 8 Ordinary differential equations (34-XX) 5 Integral equations (45-XX) 3 Probability theory and stochastic processes (60-XX) 2 Operator theory (47-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Functional analysis (46-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX)

### Citations contained in zbMATH Open

39 Publications have been cited 90 times in 59 Documents Cited by Year
On some nonlinear ordinary differential equations with advanced arguments. Zbl 1069.34095
Augustynowicz, Antoni; Leszczyński, Henryk; Walter, Wolfgang
2003
Blow-up and global existence for a kinetic equation of swarm formation. Zbl 1367.35046
Lachowicz, Mirosław; Leszczyński, Henryk; Parisot, Martin
2017
Cauchy-Kovalevskaya theory for equations with deviating variables. Zbl 0929.35004
Augustynowicz, Antoni; Leszczyński, Henryk; Walter, Wolfgang
1999
On the existence and uniqueness of weak solutions of the Cauchy problem for weakly coupled systems of nonlinear partial differential-functional equations of the first order. Zbl 0815.35124
Leszczyński, Henryk
1993
A simple kinetic equation of swarm formation: blow-up and global existence. Zbl 1342.35052
Lachowicz, Mirosław; Leszczyński, Henryk; Parisot, Martin
2016
Cauchy-Kovalevskaya theorems for a class of differential equations with delays at the derivatives. Zbl 1135.35302
Augustynowicz, Antoni; Leszczyński, Henryk
2000
Uniqueness result for the generalized entropy solutions to the Cauchy problem for first-order partial differential-functional equations. Zbl 0826.35129
Kamont, Z.; Leszczyński, H.
1994
Cauchy-Kovalevskaya theory for nonlinear equations with deviating variables. Zbl 0989.35132
Augustynowicz, A.; Leszczyński, H.; Walter, W.
2001
Comparison ODE theorems related to the method of lines. Zbl 1276.34065
Leszczyński, Henryk
2011
Computation of trajectories and displacement fields in a three-dimensional ternary diffusion couple: parabolic transform method. Zbl 1394.74134
Danielewski, Marek; Leszczyński, Henryk
2015
On $$CC$$-solutions to the initial-boundary-value problem for first-order partial differential-functional equations. Zbl 0842.35130
Leszczyński, H.
1995
Method of lines for physiologically structured models with diffusion. Zbl 1325.65132
Bartłomiejczyk, Agnieszka; Leszczyński, Henryk
2015
Newton’s method for nonlinear stochastic wave equations driven by one-dimensional Brownian motion. Zbl 1351.60083
Leszczyński, Henryk; Wrzosek, Monika
2017
A simple model of collagen remodeling. Zbl 1421.35380
Dudziuk, Grzegorz; Lachowicz, Mirosław; Leszczyński, Henryk; Szymańska, Zuzanna
2019
Uniqueness results for unbounded solutions of first order nonlinear differential-functional equations. Zbl 0804.35137
Leszczyński, H.
1994
Comparison principles for parabolic differential-functional initial-value problems. Zbl 1059.35153
Bartłomiejczyk, Agnieszka; Leszczyński, Henryk
2004
Existence of solutions to generalized von Foerster equations with functional dependence. Zbl 1109.35118
Leszczyński, Henryk; Zwierkowski, Piotr
2004
On the existence of analytic solutions of the Cauchy problem for first-order partial differential equations with retarded variables. Zbl 0877.35130
Augustynowicz, Antoni; Leszczyński, Henryk
1996
Stability of difference equations generated by parabolic differential-functional problems. Zbl 0859.65094
Kamont, Z.; Leszczyński, H.
1996
Structured populations with diffusion and Feller conditions. Zbl 1329.35315
Bartłomiejczyk, Agnieszka; Leszczyński, Henryk
2016
Existence and uniqueness of solutions for single-population. Zbl 1330.35463
Bartłomiejczyk, Agnieszka; Leszczyński, Henryk; Zwierkowski, Piotr
2015
A new existence result for a nonlinear heat equation with functional dependence. Zbl 0896.35067
Leszczyński, H.
1997
Quasi-linearisation methods for a nonlinear heat equation with functional dependence. Zbl 0964.35075
Leszczyński, Henryk
2000
Convergence of one-step difference methods for nonlinear parabolic differential-functional systems with initial boundary conditions of Dirichlet type. Zbl 0751.65059
Leszczyński, Henryk
1991
Parabolic equations with functional dependence. Zbl 0980.35164
Bychowska, A.; Leszczyński, H.
2001
On a nonlinear heat equation with functional dependence. Zbl 1026.35051
Leszczyński, H.
2000
Numerical solutions to the Darboux problem with functional dependence. Zbl 0955.65076
Kamont, Z.; Leszczyński, H.
1998
On $$x$$-analytic solutions to the Cauchy problem for partial differential equations with retarded variables. Zbl 0847.35029
Augustynowicz, A.; Leszczyński, H.
1996
Convergence results for unbounded solutions of first order nonlinear differential-functional equations. Zbl 0863.35110
Leszczyński, Henryk
1996
Stability of the method of lines for the McKendrick-von Foerster equation. Zbl 1317.65186
Leszczyński, H.; Zwierkowski, P.
2013
The Rothe method for the McKendrick-von Foerster equation. Zbl 1299.65216
Leszczyński, Henryk; Zwierkowski, Piotr
2013
General finite difference approximation to the Cauchy problem for non- linear parabolic differential-functional equations. Zbl 0731.65079
Leszczyński, Henryk
1991
Parabolic equations with Hale-type functionals. Zbl 1136.35413
Leszczyński, H.
1999
Self-organization with small range interactions: equilibria and creation of bipolarity. Zbl 1428.45008
Lachowicz, Mirosław; Leszczyński, Henryk; Topolski, Krzysztof A.
2019
Fast convergent iterative methods for some problems of mathematical biology. Zbl 1156.35342
Leszczyński, Henryk
2006
Iterative methods for generalized von Foerster equations with functional dependence. Zbl 1132.65063
Leszczyński, Henryk; Zwierkowski, Piotr
2007
Stability of finite difference schemes for generalized von Foerster equations with renewal. Zbl 1354.65170
Leszczyński, Henryk; Zwierkowski, Piotr
2014
Method of lines for parabolic functional differential equations on cylindrical domains. Zbl 1337.65123
Leszczyński, H.; Matusik, M.
2016
Leap-frog method for stochastic functional wave equations. Zbl 1431.60059
Leszczyński, Henryk; Matusik, Milena; Wrzosek, Monika
2020
Leap-frog method for stochastic functional wave equations. Zbl 1431.60059
Leszczyński, Henryk; Matusik, Milena; Wrzosek, Monika
2020
A simple model of collagen remodeling. Zbl 1421.35380
Dudziuk, Grzegorz; Lachowicz, Mirosław; Leszczyński, Henryk; Szymańska, Zuzanna
2019
Self-organization with small range interactions: equilibria and creation of bipolarity. Zbl 1428.45008
Lachowicz, Mirosław; Leszczyński, Henryk; Topolski, Krzysztof A.
2019
Blow-up and global existence for a kinetic equation of swarm formation. Zbl 1367.35046
Lachowicz, Mirosław; Leszczyński, Henryk; Parisot, Martin
2017
Newton’s method for nonlinear stochastic wave equations driven by one-dimensional Brownian motion. Zbl 1351.60083
Leszczyński, Henryk; Wrzosek, Monika
2017
A simple kinetic equation of swarm formation: blow-up and global existence. Zbl 1342.35052
Lachowicz, Mirosław; Leszczyński, Henryk; Parisot, Martin
2016
Structured populations with diffusion and Feller conditions. Zbl 1329.35315
Bartłomiejczyk, Agnieszka; Leszczyński, Henryk
2016
Method of lines for parabolic functional differential equations on cylindrical domains. Zbl 1337.65123
Leszczyński, H.; Matusik, M.
2016
Computation of trajectories and displacement fields in a three-dimensional ternary diffusion couple: parabolic transform method. Zbl 1394.74134
Danielewski, Marek; Leszczyński, Henryk
2015
Method of lines for physiologically structured models with diffusion. Zbl 1325.65132
Bartłomiejczyk, Agnieszka; Leszczyński, Henryk
2015
Existence and uniqueness of solutions for single-population. Zbl 1330.35463
Bartłomiejczyk, Agnieszka; Leszczyński, Henryk; Zwierkowski, Piotr
2015
Stability of finite difference schemes for generalized von Foerster equations with renewal. Zbl 1354.65170
Leszczyński, Henryk; Zwierkowski, Piotr
2014
Stability of the method of lines for the McKendrick-von Foerster equation. Zbl 1317.65186
Leszczyński, H.; Zwierkowski, P.
2013
The Rothe method for the McKendrick-von Foerster equation. Zbl 1299.65216
Leszczyński, Henryk; Zwierkowski, Piotr
2013
Comparison ODE theorems related to the method of lines. Zbl 1276.34065
Leszczyński, Henryk
2011
Iterative methods for generalized von Foerster equations with functional dependence. Zbl 1132.65063
Leszczyński, Henryk; Zwierkowski, Piotr
2007
Fast convergent iterative methods for some problems of mathematical biology. Zbl 1156.35342
Leszczyński, Henryk
2006
Comparison principles for parabolic differential-functional initial-value problems. Zbl 1059.35153
Bartłomiejczyk, Agnieszka; Leszczyński, Henryk
2004
Existence of solutions to generalized von Foerster equations with functional dependence. Zbl 1109.35118
Leszczyński, Henryk; Zwierkowski, Piotr
2004
On some nonlinear ordinary differential equations with advanced arguments. Zbl 1069.34095
Augustynowicz, Antoni; Leszczyński, Henryk; Walter, Wolfgang
2003
Cauchy-Kovalevskaya theory for nonlinear equations with deviating variables. Zbl 0989.35132
Augustynowicz, A.; Leszczyński, H.; Walter, W.
2001
Parabolic equations with functional dependence. Zbl 0980.35164
Bychowska, A.; Leszczyński, H.
2001
Cauchy-Kovalevskaya theorems for a class of differential equations with delays at the derivatives. Zbl 1135.35302
Augustynowicz, Antoni; Leszczyński, Henryk
2000
Quasi-linearisation methods for a nonlinear heat equation with functional dependence. Zbl 0964.35075
Leszczyński, Henryk
2000
On a nonlinear heat equation with functional dependence. Zbl 1026.35051
Leszczyński, H.
2000
Cauchy-Kovalevskaya theory for equations with deviating variables. Zbl 0929.35004
Augustynowicz, Antoni; Leszczyński, Henryk; Walter, Wolfgang
1999
Parabolic equations with Hale-type functionals. Zbl 1136.35413
Leszczyński, H.
1999
Numerical solutions to the Darboux problem with functional dependence. Zbl 0955.65076
Kamont, Z.; Leszczyński, H.
1998
A new existence result for a nonlinear heat equation with functional dependence. Zbl 0896.35067
Leszczyński, H.
1997
On the existence of analytic solutions of the Cauchy problem for first-order partial differential equations with retarded variables. Zbl 0877.35130
Augustynowicz, Antoni; Leszczyński, Henryk
1996
Stability of difference equations generated by parabolic differential-functional problems. Zbl 0859.65094
Kamont, Z.; Leszczyński, H.
1996
On $$x$$-analytic solutions to the Cauchy problem for partial differential equations with retarded variables. Zbl 0847.35029
Augustynowicz, A.; Leszczyński, H.
1996
Convergence results for unbounded solutions of first order nonlinear differential-functional equations. Zbl 0863.35110
Leszczyński, Henryk
1996
On $$CC$$-solutions to the initial-boundary-value problem for first-order partial differential-functional equations. Zbl 0842.35130
Leszczyński, H.
1995
Uniqueness result for the generalized entropy solutions to the Cauchy problem for first-order partial differential-functional equations. Zbl 0826.35129
Kamont, Z.; Leszczyński, H.
1994
Uniqueness results for unbounded solutions of first order nonlinear differential-functional equations. Zbl 0804.35137
Leszczyński, H.
1994
On the existence and uniqueness of weak solutions of the Cauchy problem for weakly coupled systems of nonlinear partial differential-functional equations of the first order. Zbl 0815.35124
Leszczyński, Henryk
1993
Convergence of one-step difference methods for nonlinear parabolic differential-functional systems with initial boundary conditions of Dirichlet type. Zbl 0751.65059
Leszczyński, Henryk
1991
General finite difference approximation to the Cauchy problem for non- linear parabolic differential-functional equations. Zbl 0731.65079
Leszczyński, Henryk
1991
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### Cited by 68 Authors

 13 Leszczyński, Henryk 9 Kamont, Zdzisław 5 Bartłomiejczyk, Agnieszka 4 Danielewski, Marek 4 Malek, Stéphane 4 Sapa, Lucjan 4 Topolski, Krzysztof A. 3 Bellomo, Nicola 3 Bożek, Bogusław 3 Brezzi, Franco 3 Lachowicz, Mirosław 3 Wrzosek, Monika 2 Dawidowicz, Antoni Leon 2 Kawagishi, Masaki 2 Kropielnicka, Karolina 2 Parisot, Martin 2 Poskrobko, Anna 1 Augustynowicz, Antoni 1 Bandrowski, Bartosz 1 Banjai, Lehel 1 Baranowska, Anna 1 Carrillo de la Plata, José Antonio 1 Ceballos-Lira, Marcos Josías 1 Degond, Pierre 1 Erfanian, Majid 1 Feng, Xiaoli 1 Gachpazan, Morteza 1 Guerbati, Kaddour 1 Huang, Jianhui 1 Jankowski, Jan 1 Karczewska, Anna 1 Karpowicz, Adrian 1 Kosari, Sajad 1 Lastra, Alberto 1 Li, Peijun 1 Liu, Jianguo 1 Lord, Gabriel James 1 Marciniak, Agnieszka 1 Matusik, Milena 1 Mechab, Mustapha 1 Medveď, Milan 1 Merino-Aceituno, Sara 1 Mokhtar-Kharroubi, Mustapha 1 Molla, Jeta 1 Nguyen Bich Huy 1 Nieto Roig, Juan Jose 1 Ntouyas, Sotiris K. 1 Pérez, Aroldo 1 Pham Van Hien 1 Pużniakowska-Gałuch, Elżbieta 1 Richard, Quentin 1 Rodríguez-López, Rosana 1 Rozmej, Piotr 1 Salvadori, Anna 1 Soler, Juan S. 1 Szymańska, Zuzanna 1 Tardiveau, Thomas 1 Tkacz-Śmiech, Katarzyna 1 Turo, Jan 1 Walter, Wolfgang 1 Wang, Guotao 1 Yamanaka, Takesi 1 Yoneda, Tsuyoshi 1 Zajusz, Marek 1 Zhang, Lihong 1 Zhao, Meixia 1 Ziemlańska, Maria Aleksandra 1 Zwierkowski, Piotr
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### Cited in 37 Serials

 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Rocky Mountain Journal of Mathematics 3 Applied Mathematics and Computation 2 Journal of Mathematical Analysis and Applications 2 Calcolo 2 Zeitschrift für Analysis und ihre Anwendungen 2 Abstract and Applied Analysis 2 Journal of Dynamical and Control Systems 2 Nonlinear Oscillations 1 Annales Polonici Mathematici 1 Czechoslovak Mathematical Journal 1 Journal of Optimization Theory and Applications 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 SIAM Journal on Numerical Analysis 1 Acta Mathematica Hungarica 1 Applied Numerical Mathematics 1 Forum Mathematicum 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Georgian Mathematical Journal 1 Bulletin des Sciences Mathématiques 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Mathematical Problems in Engineering 1 Mathematics and Mechanics of Solids 1 Journal of Inequalities and Applications 1 Mathematical Modelling and Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Advances in Difference Equations 1 Mathematical Biosciences and Engineering 1 Journal of Fixed Point Theory and Applications 1 Inverse Problems and Imaging 1 Kinetic and Related Models 1 S$$\vec{\text{e}}$$MA Journal 1 Nonlinear Analysis. Theory, Methods & Applications
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### Cited in 16 Fields

 44 Partial differential equations (35-XX) 14 Numerical analysis (65-XX) 10 Ordinary differential equations (34-XX) 10 Operator theory (47-XX) 10 Biology and other natural sciences (92-XX) 7 Integral equations (45-XX) 4 Probability theory and stochastic processes (60-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Real functions (26-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of deformable solids (74-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX)