## Banasiak, Jacek

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 Author ID: banasiak.jacek Published as: Banasiak, Jacek; Banasiak, J. Homepage: https://www.up.ac.za/jacek-banasiak External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · dblp · GND · IdRef · theses.fr
 Documents Indexed: 140 Publications since 1984, including 6 Books 8 Contributions as Editor Reviewing Activity: 47 Reviews Biographic References: 1 Publication Co-Authors: 52 Co-Authors with 90 Joint Publications 1,172 Co-Co-Authors
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### Co-Authors

 53 single-authored 12 Lachowicz, Mirosław 10 Lamb, Wilson 7 Arlotti, Luisa 7 Shindin, Sergey Konstantinovich 6 Mika, Janusz R. 6 Moszyński, Marcin 5 Parumasur, Nabendra 4 Bobrowski, Adam 4 Falkiewicz, Aleksandra 4 Goswami, Amartya 4 Kozakiewicz, Jan M. 4 Namayanja, Proscovia 3 Frosali, Giovanni 3 Joel, Luke O. 3 Mokhtar-Kharroubi, Mustapha 3 Ouifki, Rachid 3 Oukouomi Noutchie, Suares Clovis 3 Spiga, Giampiero 2 Demeio, Lucio 2 Laurençot, Philippe 2 Lods, Bertrand 2 Massoukou, Rodrigue Yves M’pika 2 Phongi, Eddy Kimba 2 Puchalska, Aleksandra 2 Rudnicki, Ryszard 2 Tchamga, Milaine Sergine Seuneu 1 Abdulle, Assyr 1 Anguelov, Roumen 1 Barletti, Luigi 1 Błoch, Adam 1 Ciake, Fidèle L. Ciake 1 Damlamian, Alain 1 Danquah, B. A. 1 Debbouche, Amar 1 Dumont, Yves 1 Friedman, Avner 1 Groppi, Maria 1 Langer, Matthias 1 Ledzewicz, Urszula 1 Ligier, Agata 1 Lungu, Edward M. 1 Manakova, Natal’ya Aleksandrovna 1 Ngwa, Gideon Akumah 1 Pichór, Katarzyna 1 Poka, W. D. 1 Sango, Mamadou 1 Schättler, Heinz Michael 1 Sviridyuk, Georgiĭ Anatol’evich 1 Szczepaniak, Jerzy 1 Teboh-Ewungkem, Miranda I. 1 Tomilov, Yuri 1 Woldegerima, Woldegebriel Assefa
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### Serials

 14 Mathematical Methods in the Applied Sciences 12 Transport Theory and Statistical Physics 10 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 Journal of Mathematical Analysis and Applications 6 Discrete and Continuous Dynamical Systems 5 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Evolution Equations 4 Mediterranean Journal of Mathematics 3 Applied Mathematics Letters 3 Mathematical Biosciences and Engineering 3 Kinetic and Related Models 3 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 2 Applied Mathematics and Computation 2 Journal of Differential Equations 2 Semigroup Forum 2 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne 2 Zeitschrift für Analysis und ihre Anwendungen 2 Acta Applicandae Mathematicae 2 Physica D 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Zeszyty Naukowe Politechniki Łódzkiej. Matematyka 2 Taiwanese Journal of Mathematics 2 Nonlinear Analysis. Real World Applications 2 Networks and Heterogeneous Media 2 Springer Proceedings in Mathematics & Statistics 2 Monographs and Research Notes in Mathematics 1 Applicable Analysis 1 Journal of Engineering Mathematics 1 Mathematical Biosciences 1 Reports on Mathematical Physics 1 Studia Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Demonstratio Mathematica 1 Mathematische Nachrichten 1 Quaestiones Mathematicae 1 Mathematical and Computer Modelling 1 Journal of Applied Mathematics and Stochastic Analysis 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 SIAM Journal on Mathematical Analysis 1 Advances in Mathematical Sciences and Applications 1 Journal of Applied Analysis 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 Acta Mathematica Sinica. English Series 1 Journal of Nonlinear Mathematical Physics 1 Lecture Notes in Mathematics 1 Series on Advances in Mathematics for Applied Sciences 1 GAKUTO International Series. Mathematical Sciences and Applications 1 Discrete and Continuous Dynamical Systems. Series S 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Afrika Matematika 1 Journal of Theoretical Biology 1 Modeling and Simulation in Science, Engineering and Technology 1 Springer Monographs in Mathematics
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### Fields

 73 Operator theory (47-XX) 64 Partial differential equations (35-XX) 44 Ordinary differential equations (34-XX) 43 Statistical mechanics, structure of matter (82-XX) 38 Biology and other natural sciences (92-XX) 21 Integral equations (45-XX) 13 Fluid mechanics (76-XX) 12 Dynamical systems and ergodic theory (37-XX) 10 Probability theory and stochastic processes (60-XX) 8 General and overarching topics; collections (00-XX) 6 Functional analysis (46-XX) 5 Combinatorics (05-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Numerical analysis (65-XX) 3 Operations research, mathematical programming (90-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX)

### Citations contained in zbMATH Open

112 Publications have been cited 840 times in 425 Documents Cited by Year
Perturbations of positive semigroups with applications. Zbl 1097.47038
Banasiak, Jacek; Arlotti, Luisa
2006
Methods of small parameter in mathematical biology. Zbl 1309.92012
Banasiak, Jacek; Lachowicz, Mirosław
2014
Singularly perturbed telegraph equations with applications in the random walk theory. Zbl 0909.35011
Banasiak, Jacek; Mika, Janusz R.
1998
A generalization of Desch-Schappacher-Webb criteria for chaos. Zbl 1084.47033
Banasiak, Jacek; Moszyński, Marcin
2005
Dynamics of birth-and-death processes with proliferation – stability and chaos. Zbl 1219.34014
Banasiak, Jacek; Moszyński, Marcin
2011
Asynchronous exponential growth of a general structured population model. Zbl 1301.47055
Banasiak, Jacek; Pichór, Katarzyna; Rudnicki, Ryszard
2012
Singularly perturbed evolution equations with applications to kinetic theory. Zbl 0948.35500
Mika, J. R.; Banasiak, J.
1995
Strictly substochastic semigroups with application to conservative and shattering solutions to fragmentation equations with mass loss. Zbl 1075.47023
Arlotti, Luisa; Banasiak, Jacek
2004
Analytic fragmentation semigroups and continuous coagulation-fragmentation equations with unbounded rates. Zbl 1246.35200
Banasiak, Jacek; Lamb, Wilson
2012
Asymptotic state lumping in transport and diffusion problems on networks with applications to population problems. Zbl 1355.92084
Banasiak, Jacek; Falkiewicz, Aleksandra; Namayanja, Proscovia
2016
On an extension of the Kato-Voigt perturbation theorem for substochastic semigroups and its application. Zbl 1002.47021
Banasiak, J.
2001
Topological chaos for birth-and-death-type models with proliferation. Zbl 1043.37056
Banasiak, Jacek; Lachowicz, Mirosław
2002
On mixed boundary value problems of Dirichlet oblique-derivative type in plane domains with piecewise differentiable boundary. Zbl 0698.35046
Banasiak, J.; Roach, G. F.
1989
Global strict solutions to continuous coagulation-fragmentation equations with strong fragmentation. Zbl 1228.35261
Banasiak, Jacek; Lamb, Wilson
2011
Coagulation, fragmentation and growth processes in a size structured population. Zbl 1178.35136
Banasiak, Jacek; Lamb, Wilson
2009
On a non-uniqueness in fragmentation models. Zbl 1040.47054
Banasiak, J.
2002
On the application of substochastic semigroup theory to fragmentation models with mass loss. Zbl 1059.47046
Banasiak, Jacek; Lamb, Wilson
2003
Conservative and shattering solutions for some classes of fragmentation models. Zbl 1090.47026
Banasiak, Jacek
2004
Transport processes with coagulation and strong fragmentation. Zbl 1235.35275
Banasiak, Jacek
2012
Asymptotic behaviour of flows on reducible networks. Zbl 1304.35723
Banasiak, Jacek; Namayanja, Proscovia
2014
Semigroup approach to diffusion and transport problems on networks. Zbl 1358.90018
Banasiak, Jacek; Falkiewicz, Aleksandra; Namayanja, Proscovia
2016
Global classical solutions of coagulation-fragmentation equations with unbounded coagulation rates. Zbl 1238.34019
Banasiak, Jacek
2012
Shattering and non-uniqueness in fragmentation models – an analytic approach. Zbl 1129.82034
Banasiak, J.
2006
Semigroups for generalized birth-and-death equations in $$l^p$$ spaces. Zbl 1178.47027
Banasiak, Jacek; Lachowicz, Mirosław; Moszyński, Marcin
2006
On a macroscopic limit of a kinetic model of alignment. Zbl 1277.92003
Banasiak, Jacek; Lachowicz, Mirosław
2013
Inelastic scattering models in transport theory and their small mean free path analysis. Zbl 0983.82013
Banasiak, J.; Frosali, G.; Spiga, G.
2000
On general transport equations with abstract boundary conditions. The case of divergence free force field. Zbl 1230.47073
Arlotti, Luisa; Banasiak, Jacek; Lods, Bertrand
2011
A new approach to transport equations associated to a regular field: Trace results and well-posedness. Zbl 1198.47055
Arlotti, Luisa; Banasiak, Jacek; Lods, Bertrand
2009
Aggregation in age and space structured population models: an asymptotic analysis approach. Zbl 1241.35206
Banasiak, J.; Goswami, A.; Shindin, S.
2011
Chaotic behavior of semigroups related to the process of gene amplification-deamplification with cell proliferation. Zbl 1118.92022
Banasiak, Jacek; Lachowicz, Mirosław; Moszyński, Marcin
2007
Some transport and diffusion processes on networks and their graph realizability. Zbl 1311.05072
Banasiak, J.; Falkiewicz, A.
2015
Strong fragmentation and coagulation with power-law rates. Zbl 1360.35279
Banasiak, Jacek; Lamb, Wilson; Langer, Matthias
2013
On a diffusion-kinetic equation arising in extended kinetic theory. Zbl 0972.35092
Banasiak, Jacek
2000
Asymptotic analysis for a particle transport equation with inelastic scattering in extended kinetic theory. Zbl 0957.82032
Banasiak, Jacek; Frosali, Giovanni; Spiga, Giampiero
1998
Interplay between degenerate convergence of semigroups and asymptotic analysis: a study of a singularly perturbed abstract telegraph system. Zbl 1239.34064
Banasiak, Jacek; Bobrowski, Adam
2009
Diffusion limit for the linear Boltzmann equation of the neutron transport theory. Zbl 0805.35090
Banasiak, J.; Mika, J. R.
1994
Diffusion approximation for the linear Boltzmann equation of semiconductor theory with analysis of the initial layer. Zbl 0879.35146
Banasiak, J.
1997
Asymptotic analysis of the Fokker-Planck equation related to Brownian motion. Zbl 0795.35126
Banasiak, J.; Mika, J. R.
1994
The discrete fragmentation equation: semigroups, compactness and asynchronous exponential growth. Zbl 1279.34068
Banasiak, Jacek; Lamb, Wilson
2012
On corner singularities of solutions to mixed boundary-value problems for second-order elliptic and parabolic equations. Zbl 0735.35025
Banasiak, Jacek; Roach, Gary F.
1991
Global solvability of a fragmentation-coagulation equation with growth and restricted coagulation. Zbl 1362.92015
Banasiak, Jacek; Oukouomi Noutchie, Suares Clovis; Rudnicki, Ryszard
2009
Mathematical properties of inelastic scattering models in linear kinetic theory. Zbl 1010.82030
Banasiak, Jacek
2000
Kinetic models in natural sciences. Zbl 1335.47045
Banasiak, Jacek
2015
Some contribution to the geometry of normed linear spaces. Zbl 0672.46011
Banasiak, Jacek
1988
Conservative and non-conservative Boltzmann-type models of semiconductor theory. Zbl 1139.47312
Arlotti, L.; Banasiak, J.; Ciake, F. L. Ciake
2006
Hypercyclicity and chaoticity spaces of $$C_0$$ semigroups. Zbl 1152.47008
Banasiak, Jacek; Moszyński, Marcin
2008
Chaos in Kolmogorov systems with proliferation – general criteria and applications. Zbl 1281.47027
Banasiak, J.
2011
Interplay of elastic and inelastic scattering operators in extended kinetic models and their hydrodynamic limits: Reference manual. Zbl 1029.76049
Banasiak, Jacek; Frosali, Giovanni; Spiga, Giampiero
2002
Topological chaos: When topology meets medicine. Zbl 1075.47024
Banasiak, J.; Lachowicz, M.; Moszyński, M.
2003
A singularly perturbed SIS model with age structure. Zbl 1269.92061
Banasiak, Jacek; Phongi, Eddy Kimba; Lachowicz, Mirosław
2013
On transport equations driven by a non-divergence-free force field. Zbl 1157.35493
Arlotti, L.; Banasiak, J.; Lods, B.
2007
Controlling number of particles in fragmentation equations. Zbl 1219.47145
Banasiak, J.; Oukouomi Noutchie, S. C.
2010
Pseudospectral Laguerre approximation of transport-fragmentation equations. Zbl 1334.65164
Banasiak, J.; Parumasur, N.; Poka, W. D.; Shindin, S.
2014
Singularly perturbed population models with reducible migration matrix: 2. Asymptotic analysis and numerical simulations. Zbl 1301.92059
Banasiak, Jacek; Goswami, Amartya; Shindin, Sergey
2014
On an irregular dynamics of certain fragmentation semigroups. Zbl 1273.47066
Banasiak, Jacek
2011
Diffusion approximations of a linear kinetic equation with inelastic scattering: Asymptotic analysis and numerical results. Zbl 0943.35070
Banasiak, Jacek; Demeio, Lucio
1999
Chaotic linear dynamical systems with applications. Zbl 1035.37014
Banasiak, J.; Lachowicz, M.
2002
Nonautonomous fragmentation equation via evolution semigroups. Zbl 1213.47045
Arlotti, L.; Banasiak, J.
2010
On well-posedness of a Boltzmann-like semiconductor model. Zbl 1063.47030
Banasiak, Jacek
2003
A singular limit for an age structured mutation problem. Zbl 1352.35197
Banasiak, Jacek; Falkiewicz, Aleksandra
2017
Mathematical modelling in one dimension. An introduction via difference and differential equations. Zbl 1290.00018
Banasiak, Jacek
2013
Discrete growth-decay-fragmentation equation: well-posedness and long-term dynamics. Zbl 1474.34399
Banasiak, J.; Joel, L. O.; Shindin, S.
2019
Generalized network transport and Euler-Hille formula. Zbl 1471.35287
Banasiak, Jacek; Puchalska, Aleksandra
2018
Analytic methods for coagulation-fragmentation models. Volume I. Zbl 1434.82001
Banasiak, Jacek; Lamb, Wilson; Laurençot, Philippe
2020
Analytic methods for coagulation-fragmentation models. Volume II. Zbl 1434.82002
Banasiak, Jacek; Lamb, Wilson; Laurençot, Philippe
2020
Explicit formulae for limit periodic flows on networks. Zbl 1382.35321
Banasiak, J.
2016
A singularly perturbed age structured SIRS model with fast recovery. Zbl 1308.34067
Massoukou, Rodrigue Yves M’pika; Banasiak, Jacek
2014
Singularly perturbed population models with reducible migration matrix. I: Sova-Kurtz theorem and the convergence to the aggregated model. Zbl 1333.92042
Banasiak, Jacek; Goswami, Amartya
2015
Relative entropy and discrete Poincaré inequalities for reducible matrices. Zbl 1248.37026
Banasiak, Jacek; Namayanja, Proscovia
2012
Generation results for $$B$$-bounded semigroups. Zbl 1005.47042
Banasiak, J.
1998
Universality of dishonesty of substochastic semigroups: shattering fragmentations and explosive birth-and-death processes. Zbl 1096.47064
Banasiak, Jacek; Mokhtar-Kharroubi, Mustapha
2005
A complete description of dynamics generated by birth-and-death problem: a semigroup approach. Zbl 1070.47032
Banasiak, Jacek
2004
Singularly perturbed linear and semilinear hyperbolic systems: Kinetic theory approach to some folk’s theorems. Zbl 0893.35009
Banasiak, J.
1997
Asymptotic analysis of singularly perturbed dynamical systems of kinetic type. Zbl 1192.35013
Banasiak, Jacek
2009
A semigroup related to a convex combination of boundary conditions obtained as a result of averaging other semigroups. Zbl 1325.47085
Banasiak, Jacek; Bobrowski, Adam
2015
Diffusion limit for a linear kinetic equation. Zbl 0821.45004
Mika, J. R.; Banasiak, J.
1995
Asymptotic analysis of a model kinetic equation. Zbl 0845.34063
Mika, Janusz R.; Banasiak, Jacek
1995
Birth-and-death type systems with parameter and chaotic dynamics of some linear kinetic models. Zbl 1103.34048
Banasiak, J.
2006
On a coagulation and fragmentation equation with mass loss. Zbl 1125.45009
Banasiak, Jacek; Lamb, Wilson
2006
Kinetic-type models with diffusion: conservative and nonconservative solutions. Zbl 1147.82344
Banasiak, J.
2007
Asymptotic analysis of abstract linear kinetic equations. Zbl 0855.34066
Banasiak, J.
1996
On a three-stage structured model for the dynamics of malaria transmission with human treatment, adult vector demographics and one aquatic stage. Zbl 1422.92160
Ngwa, Gideon A.; Teboh-Ewungkem, Miranda I.; Dumont, Yves; Ouifki, Rachid; Banasiak, Jacek
2019
Effective and ineffective treatment in a malaria model for humans in an endemic region. Zbl 1438.92054
Danquah, B. A.; Chirove, F.; Banasiak, Jacek
2019
Causal relations in support of implicit evolution equations. Zbl 06969543
Sauer, N.; Banasiak, J.; Lee, W.-S.
2018
Analysis and simulations of the discrete fragmentation equation with decay. Zbl 1402.39009
Banasiak, J.; Joel, L. O.; Shindin, S.
2018
Around the Kato generation theorem for semigroups. Zbl 1115.47037
Banasiak, Jacek; Lachowicz, Mirosław
2007
On $$L_ 2$$-solvability of mixed boundary value problems for elliptic equations in plane non-smooth domains. Zbl 0763.35027
Banasiak, Jacek
1992
On asymptotics of solutions of elliptic mixed boundary value problems of second-order in domains with vanishing edges. Zbl 0794.35037
Banasiak, Jacek
1992
Logarithmic norms and regular perturbations of differential equations. Zbl 1450.34038
Banasiak, Jacek
2019
Transport on networks – a playground of continuous and discrete mathematics in population dynamics. Zbl 1430.92065
Banasiak, Jacek; Puchalska, Aleksandra
2019
Evolutionary equations with applications in natural sciences. Lectures presented at the 2013 CIMPA-UNESCO-South Africa School, Cape Town, South Africa, July 22 – August 2, 2013. Zbl 1302.35006
2015
Canard-type solutions in epidemiological models. Zbl 1379.34042
Kimba Phongi, Eddy; Banasiak, Jacek
2015
On the existence of moments of solutions to fragmentation equations. Zbl 1312.35018
Banasiak, Jacek; Lamb, Wilson
2014
Delayed stability switches in singularly perturbed predator-prey models. Zbl 1418.34113
Banasiak, J.; Tchamga, M. S. Seuneu
2017
A counterexample in the theory of mixed boundary value problems for elliptic equations in non-smooth domains. Zbl 0789.35041
Banasiak, Jacek
1993
Positivity in natural sciences. Zbl 1264.92001
Banasiak, Jacek
2008
The discrete unbounded coagulation-fragmentation equation with growth, decay and sedimentation. Zbl 1423.34020
Banasiak, Jacek; Joel, Luke O.; Shindin, Sergey
2019
On the hydrodynamic limit of a linear kinetic equation with dominant elastic scattering. Zbl 1221.82079
Banasiak, Jacek
2001
Multiple solutions to linear kinetic equations. Zbl 1029.82015
Banasiak, J.
2003
Population models with projection matrix with some negative entries – a solution to the Natchez paradox. Zbl 1400.92425
Banasiak, J.
2018
Analytic methods for coagulation-fragmentation models. Volume I. Zbl 1434.82001
Banasiak, Jacek; Lamb, Wilson; Laurençot, Philippe
2020
Analytic methods for coagulation-fragmentation models. Volume II. Zbl 1434.82002
Banasiak, Jacek; Lamb, Wilson; Laurençot, Philippe
2020
Global solutions of continuous coagulation-fragmentation equations with unbounded coefficients. Zbl 1467.35329
Banasiak, Jacek
2020
Positive solutions to Sobolev type equations with relatively $$p$$-sectorial operators. Zbl 07293385
Banasiak, Jacek; Manakova, Natal&rsquo;ya Aleksandrovna; Sviridyuk, Georgiĭ Anatol&rsquo;evich
2020
Discrete growth-decay-fragmentation equation: well-posedness and long-term dynamics. Zbl 1474.34399
Banasiak, J.; Joel, L. O.; Shindin, S.
2019
On a three-stage structured model for the dynamics of malaria transmission with human treatment, adult vector demographics and one aquatic stage. Zbl 1422.92160
Ngwa, Gideon A.; Teboh-Ewungkem, Miranda I.; Dumont, Yves; Ouifki, Rachid; Banasiak, Jacek
2019
Effective and ineffective treatment in a malaria model for humans in an endemic region. Zbl 1438.92054
Danquah, B. A.; Chirove, F.; Banasiak, Jacek
2019
Logarithmic norms and regular perturbations of differential equations. Zbl 1450.34038
Banasiak, Jacek
2019
Transport on networks – a playground of continuous and discrete mathematics in population dynamics. Zbl 1430.92065
Banasiak, Jacek; Puchalska, Aleksandra
2019
The discrete unbounded coagulation-fragmentation equation with growth, decay and sedimentation. Zbl 1423.34020
Banasiak, Jacek; Joel, Luke O.; Shindin, Sergey
2019
Generalized network transport and Euler-Hille formula. Zbl 1471.35287
Banasiak, Jacek; Puchalska, Aleksandra
2018
Causal relations in support of implicit evolution equations. Zbl 06969543
Sauer, N.; Banasiak, J.; Lee, W.-S.
2018
Analysis and simulations of the discrete fragmentation equation with decay. Zbl 1402.39009
Banasiak, J.; Joel, L. O.; Shindin, S.
2018
Population models with projection matrix with some negative entries – a solution to the Natchez paradox. Zbl 1400.92425
Banasiak, J.
2018
A singular limit for an age structured mutation problem. Zbl 1352.35197
Banasiak, Jacek; Falkiewicz, Aleksandra
2017
Delayed stability switches in singularly perturbed predator-prey models. Zbl 1418.34113
Banasiak, J.; Tchamga, M. S. Seuneu
2017
Asymptotic state lumping in transport and diffusion problems on networks with applications to population problems. Zbl 1355.92084
Banasiak, Jacek; Falkiewicz, Aleksandra; Namayanja, Proscovia
2016
Semigroup approach to diffusion and transport problems on networks. Zbl 1358.90018
Banasiak, Jacek; Falkiewicz, Aleksandra; Namayanja, Proscovia
2016
Explicit formulae for limit periodic flows on networks. Zbl 1382.35321
Banasiak, J.
2016
Some transport and diffusion processes on networks and their graph realizability. Zbl 1311.05072
Banasiak, J.; Falkiewicz, A.
2015
Kinetic models in natural sciences. Zbl 1335.47045
Banasiak, Jacek
2015
Singularly perturbed population models with reducible migration matrix. I: Sova-Kurtz theorem and the convergence to the aggregated model. Zbl 1333.92042
Banasiak, Jacek; Goswami, Amartya
2015
A semigroup related to a convex combination of boundary conditions obtained as a result of averaging other semigroups. Zbl 1325.47085
Banasiak, Jacek; Bobrowski, Adam
2015
Evolutionary equations with applications in natural sciences. Lectures presented at the 2013 CIMPA-UNESCO-South Africa School, Cape Town, South Africa, July 22 – August 2, 2013. Zbl 1302.35006
2015
Canard-type solutions in epidemiological models. Zbl 1379.34042
Kimba Phongi, Eddy; Banasiak, Jacek
2015
Methods of small parameter in mathematical biology. Zbl 1309.92012
Banasiak, Jacek; Lachowicz, Mirosław
2014
Asymptotic behaviour of flows on reducible networks. Zbl 1304.35723
Banasiak, Jacek; Namayanja, Proscovia
2014
Pseudospectral Laguerre approximation of transport-fragmentation equations. Zbl 1334.65164
Banasiak, J.; Parumasur, N.; Poka, W. D.; Shindin, S.
2014
Singularly perturbed population models with reducible migration matrix: 2. Asymptotic analysis and numerical simulations. Zbl 1301.92059
Banasiak, Jacek; Goswami, Amartya; Shindin, Sergey
2014
A singularly perturbed age structured SIRS model with fast recovery. Zbl 1308.34067
Massoukou, Rodrigue Yves M&rsquo;pika; Banasiak, Jacek
2014
On the existence of moments of solutions to fragmentation equations. Zbl 1312.35018
Banasiak, Jacek; Lamb, Wilson
2014
On a macroscopic limit of a kinetic model of alignment. Zbl 1277.92003
Banasiak, Jacek; Lachowicz, Mirosław
2013
Strong fragmentation and coagulation with power-law rates. Zbl 1360.35279
Banasiak, Jacek; Lamb, Wilson; Langer, Matthias
2013
A singularly perturbed SIS model with age structure. Zbl 1269.92061
Banasiak, Jacek; Phongi, Eddy Kimba; Lachowicz, Mirosław
2013
Mathematical modelling in one dimension. An introduction via difference and differential equations. Zbl 1290.00018
Banasiak, Jacek
2013
Asynchronous exponential growth of a general structured population model. Zbl 1301.47055
Banasiak, Jacek; Pichór, Katarzyna; Rudnicki, Ryszard
2012
Analytic fragmentation semigroups and continuous coagulation-fragmentation equations with unbounded rates. Zbl 1246.35200
Banasiak, Jacek; Lamb, Wilson
2012
Transport processes with coagulation and strong fragmentation. Zbl 1235.35275
Banasiak, Jacek
2012
Global classical solutions of coagulation-fragmentation equations with unbounded coagulation rates. Zbl 1238.34019
Banasiak, Jacek
2012
The discrete fragmentation equation: semigroups, compactness and asynchronous exponential growth. Zbl 1279.34068
Banasiak, Jacek; Lamb, Wilson
2012
Relative entropy and discrete Poincaré inequalities for reducible matrices. Zbl 1248.37026
Banasiak, Jacek; Namayanja, Proscovia
2012
Dynamics of birth-and-death processes with proliferation – stability and chaos. Zbl 1219.34014
Banasiak, Jacek; Moszyński, Marcin
2011
Global strict solutions to continuous coagulation-fragmentation equations with strong fragmentation. Zbl 1228.35261
Banasiak, Jacek; Lamb, Wilson
2011
On general transport equations with abstract boundary conditions. The case of divergence free force field. Zbl 1230.47073
Arlotti, Luisa; Banasiak, Jacek; Lods, Bertrand
2011
Aggregation in age and space structured population models: an asymptotic analysis approach. Zbl 1241.35206
Banasiak, J.; Goswami, A.; Shindin, S.
2011
Chaos in Kolmogorov systems with proliferation – general criteria and applications. Zbl 1281.47027
Banasiak, J.
2011
On an irregular dynamics of certain fragmentation semigroups. Zbl 1273.47066
Banasiak, Jacek
2011
Blow-up of solutions to some coagulation and fragmentation equations with growth. Zbl 1306.35008
Banasiak, Jacek
2011
Controlling number of particles in fragmentation equations. Zbl 1219.47145
Banasiak, J.; Oukouomi Noutchie, S. C.
2010
Nonautonomous fragmentation equation via evolution semigroups. Zbl 1213.47045
Arlotti, L.; Banasiak, J.
2010
Coagulation, fragmentation and growth processes in a size structured population. Zbl 1178.35136
Banasiak, Jacek; Lamb, Wilson
2009
A new approach to transport equations associated to a regular field: Trace results and well-posedness. Zbl 1198.47055
Arlotti, Luisa; Banasiak, Jacek; Lods, Bertrand
2009
Interplay between degenerate convergence of semigroups and asymptotic analysis: a study of a singularly perturbed abstract telegraph system. Zbl 1239.34064
Banasiak, Jacek; Bobrowski, Adam
2009
Global solvability of a fragmentation-coagulation equation with growth and restricted coagulation. Zbl 1362.92015
Banasiak, Jacek; Oukouomi Noutchie, Suares Clovis; Rudnicki, Ryszard
2009
Asymptotic analysis of singularly perturbed dynamical systems of kinetic type. Zbl 1192.35013
Banasiak, Jacek
2009
Conservativeness in nonlocal fragmentation models. Zbl 1185.74008
Banasiak, Jacek; Oukouomi Noutchie, S. C.
2009
Multiple scales problems in biomathematics, mechanics, physics and numerics, CIMPA school, Cape Town, South Africa, August 6–18, 2007. Zbl 1171.65002
2009
Hypercyclicity and chaoticity spaces of $$C_0$$ semigroups. Zbl 1152.47008
Banasiak, Jacek; Moszyński, Marcin
2008
Positivity in natural sciences. Zbl 1264.92001
Banasiak, Jacek
2008
Chaotic behavior of semigroups related to the process of gene amplification-deamplification with cell proliferation. Zbl 1118.92022
Banasiak, Jacek; Lachowicz, Mirosław; Moszyński, Marcin
2007
On transport equations driven by a non-divergence-free force field. Zbl 1157.35493
Arlotti, L.; Banasiak, J.; Lods, B.
2007
Kinetic-type models with diffusion: conservative and nonconservative solutions. Zbl 1147.82344
Banasiak, J.
2007
Around the Kato generation theorem for semigroups. Zbl 1115.47037
Banasiak, Jacek; Lachowicz, Mirosław
2007
Perturbations of positive semigroups with applications. Zbl 1097.47038
Banasiak, Jacek; Arlotti, Luisa
2006
Shattering and non-uniqueness in fragmentation models – an analytic approach. Zbl 1129.82034
Banasiak, J.
2006
Semigroups for generalized birth-and-death equations in $$l^p$$ spaces. Zbl 1178.47027
Banasiak, Jacek; Lachowicz, Mirosław; Moszyński, Marcin
2006
Conservative and non-conservative Boltzmann-type models of semiconductor theory. Zbl 1139.47312
Arlotti, L.; Banasiak, J.; Ciake, F. L. Ciake
2006
Birth-and-death type systems with parameter and chaotic dynamics of some linear kinetic models. Zbl 1103.34048
Banasiak, J.
2006
On a coagulation and fragmentation equation with mass loss. Zbl 1125.45009
Banasiak, Jacek; Lamb, Wilson
2006
A generalization of Desch-Schappacher-Webb criteria for chaos. Zbl 1084.47033
Banasiak, Jacek; Moszyński, Marcin
2005
Universality of dishonesty of substochastic semigroups: shattering fragmentations and explosive birth-and-death processes. Zbl 1096.47064
Banasiak, Jacek; Mokhtar-Kharroubi, Mustapha
2005
Diffusion approximation of linear kinetic equations with non-equilibrium data-computational experiments. Zbl 1107.82074
Banasiak, J.; Kozakiewicz, J. M.; Parumasur, N.
2005
Strictly substochastic semigroups with application to conservative and shattering solutions to fragmentation equations with mass loss. Zbl 1075.47023
Arlotti, Luisa; Banasiak, Jacek
2004
Conservative and shattering solutions for some classes of fragmentation models. Zbl 1090.47026
Banasiak, Jacek
2004
A complete description of dynamics generated by birth-and-death problem: a semigroup approach. Zbl 1070.47032
Banasiak, Jacek
2004
On the application of substochastic semigroup theory to fragmentation models with mass loss. Zbl 1059.47046
Banasiak, Jacek; Lamb, Wilson
2003
Topological chaos: When topology meets medicine. Zbl 1075.47024
Banasiak, J.; Lachowicz, M.; Moszyński, M.
2003
On well-posedness of a Boltzmann-like semiconductor model. Zbl 1063.47030
Banasiak, Jacek
2003
Multiple solutions to linear kinetic equations. Zbl 1029.82015
Banasiak, J.
2003
Solvability of linear kinetic equations with multi-energetic inelastic scattering. Zbl 1068.82019
Banasiak, Jacek; Groppi, Maria
2003
Topological chaos for birth-and-death-type models with proliferation. Zbl 1043.37056
Banasiak, Jacek; Lachowicz, Mirosław
2002
On a non-uniqueness in fragmentation models. Zbl 1040.47054
Banasiak, J.
2002
Interplay of elastic and inelastic scattering operators in extended kinetic models and their hydrodynamic limits: Reference manual. Zbl 1029.76049
Banasiak, Jacek; Frosali, Giovanni; Spiga, Giampiero
2002
Chaotic linear dynamical systems with applications. Zbl 1035.37014
Banasiak, J.; Lachowicz, M.
2002
On an extension of the Kato-Voigt perturbation theorem for substochastic semigroups and its application. Zbl 1002.47021
Banasiak, J.
2001
On the hydrodynamic limit of a linear kinetic equation with dominant elastic scattering. Zbl 1221.82079
Banasiak, Jacek
2001
On the existence of propagators in stationary Wigner equation without velocity cut-off. Zbl 0990.82019
Banasiak, Jacek; Barletti, Luigi
2001
Inelastic scattering models in transport theory and their small mean free path analysis. Zbl 0983.82013
Banasiak, J.; Frosali, G.; Spiga, G.
2000
On a diffusion-kinetic equation arising in extended kinetic theory. Zbl 0972.35092
Banasiak, Jacek
2000
Mathematical properties of inelastic scattering models in linear kinetic theory. Zbl 1010.82030
Banasiak, Jacek
2000
Diffusion approximation of an inelastic scattering model in linear kinetic theory. Zbl 1034.82045
Banasiak, Jacek
2000
The existence of moments of solutions to transport equations with inelastic scattering and their application in the asymptotic analysis. Zbl 0976.45007
Banasiak, J.
2000
Diffusion approximations of a linear kinetic equation with inelastic scattering: Asymptotic analysis and numerical results. Zbl 0943.35070
Banasiak, Jacek; Demeio, Lucio
1999
Singularly perturbed telegraph equations with applications in the random walk theory. Zbl 0909.35011
Banasiak, Jacek; Mika, Janusz R.
1998
Asymptotic analysis for a particle transport equation with inelastic scattering in extended kinetic theory. Zbl 0957.82032
Banasiak, Jacek; Frosali, Giovanni; Spiga, Giampiero
1998
Generation results for $$B$$-bounded semigroups. Zbl 1005.47042
Banasiak, J.
1998
Diffusion approximation for the linear Boltzmann equation of semiconductor theory with analysis of the initial layer. Zbl 0879.35146
Banasiak, J.
1997
Singularly perturbed linear and semilinear hyperbolic systems: Kinetic theory approach to some folk’s theorems. Zbl 0893.35009
Banasiak, J.
1997
Asymptotic analysis of abstract linear kinetic equations. Zbl 0855.34066
Banasiak, J.
1996
Singularly perturbed evolution equations with applications to kinetic theory. Zbl 0948.35500
Mika, J. R.; Banasiak, J.
1995
...and 12 more Documents
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### Cited by 505 Authors

 67 Banasiak, Jacek 15 Mokhtar-Kharroubi, Mustapha 14 Arlotti, Luisa 14 Lachowicz, Mirosław 12 Bobrowski, Adam 11 Conejero, José Alberto 9 Kozitsky, Yuri Vasil’evich 9 Lamb, Wilson 9 Murillo-Arcila, Marina 9 Oukouomi Noutchie, Suares Clovis 9 Rudnicki, Ryszard 8 Gabriel, Pierre 8 Laurençot, Philippe 8 Lods, Bertrand 8 Spiga, Giampiero 7 Doungmo Goufo, Emile Franc 7 Kostić, Marko 7 Parumasur, Nabendra 7 Peris, Alfredo 7 Shindin, Sergey Konstantinovich 6 Chen, Pengyu 6 Li, Yongxiang 5 Frosali, Giovanni 5 Kramar Fijavž, Marjeta 5 Leszczyński, Henryk 5 Namayanja, Proscovia 5 Tyran-Kamińska, Marta 4 Bellomo, Nicola 4 Bisi, Marzia 4 De Angelis, Elena 4 Doumic, Marie 4 Escobedo Martínez, Miguel 4 Falkiewicz, Aleksandra 4 Moszyński, Marcin 4 Parisot, Martin 3 Bernard, Étienne 3 Bertoin, Jean 3 Chouhad, Nadia 3 Dolfin, Marina 3 Ghosh, Debdulal 3 Giri, Ankik Kumar 3 Goswami, Amartya 3 Groppi, Maria 3 Gwiżdż, Piotr 3 Hafez, Ramy Mahmoud 3 Ji, Lizhen 3 Kumar, Jitendra 3 Langer, Matthias 3 Mangino, Elisabetta M. 3 Martini, Horst 3 Massoukou, Rodrigue Yves M’pika 3 McBride, Adam C. 3 Mischler, Stéphane 3 Pichór, Katarzyna 3 Rodenas, Francisco 3 Singh, Mehakpreet 3 Spirova, Margarita Georgieva 3 Sviridyuk, Georgiĭ Anatol’evich 3 Totaro, Silvia 3 Walker, Gavin 3 Weber, Andreas 3 Youssri, Youssri H. 2 Abbas, Muhammad 2 Abbasbandy, Saeid 2 Ackleh, Azmy S. 2 Ali, Norhashidah Hj. Mohd. 2 Alonso, Javier 2 Aloy, R. 2 Aroza, Javier 2 Ashyralyev, Allaberen 2 Baird, Graham 2 Băleanu, Dumitru I. 2 Barik, Prasanta Kumar 2 Barrachina, Xavier 2 Bartłomiejczyk, Agnieszka 2 Bedin, Luciano 2 Bellouquid, Abdelghani 2 Biedrzycka, Weronika 2 Boulanouar, Mohamed 2 Budde, Christian 2 Burini, Diletta 2 Cañizo, José Alfredo 2 Casabán, María Consuelo 2 Chang, Yu-Hsien 2 Dawidowicz, Antoni Leon 2 Demeio, Lucio 2 Ebmeyer, Carsten 2 El Mourchid, Samir 2 Elettreby, Mohammed Fathy 2 Engel, Klaus-Jochen 2 Gerasimenko, Viktor Ivanovich 2 Gerlach, Moritz 2 Glück, Jochen 2 Gregosiewicz, Adam 2 Hadd, Said 2 Heydari, Mohammad Hossien 2 Hung, Cheng-Hung 2 Jiwari, Ram 2 Jódar Sanchez, Lucas Antonio 2 Kalmes, Thomas ...and 405 more Authors
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### Cited in 161 Serials

 27 Journal of Mathematical Analysis and Applications 24 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 16 Transport Theory and Statistical Physics 15 Applied Mathematics and Computation 14 Journal of Evolution Equations 11 Mathematical Methods in the Applied Sciences 10 Kinetic and Related Models 9 Mediterranean Journal of Mathematics 8 Journal of Functional Analysis 8 Semigroup Forum 7 Applied Mathematics Letters 7 Discrete and Continuous Dynamical Systems. Series B 6 Discrete and Continuous Dynamical Systems 6 Networks and Heterogeneous Media 5 Journal of Differential Equations 5 Physica D 5 Mathematical Problems in Engineering 5 Abstract and Applied Analysis 5 Mathematical Biosciences and Engineering 4 Journal of Mathematical Biology 4 Acta Applicandae Mathematicae 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Applied Numerical Mathematics 4 Linear Algebra and its Applications 4 SIAM Journal on Mathematical Analysis 4 Advances in Difference Equations 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Communications in Mathematical Physics 3 Results in Mathematics 3 Zeitschrift für Analysis und ihre Anwendungen 3 Japan Journal of Industrial and Applied Mathematics 3 Communications in Partial Differential Equations 3 SIAM Journal on Applied Mathematics 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Engineering Analysis with Boundary Elements 3 Nonlinear Analysis. Real World Applications 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Communications on Pure and Applied Analysis 3 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 2 Applicable Analysis 2 Computers & Mathematics with Applications 2 Computer Physics Communications 2 Journal of Engineering Mathematics 2 Journal of Statistical Physics 2 Mathematical Biosciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Bulletin of Mathematical Biology 2 Chaos, Solitons and Fractals 2 Integral Equations and Operator Theory 2 Ricerche di Matematica 2 Ergodic Theory and Dynamical Systems 2 Computational Geometry 2 Numerical Algorithms 2 Stochastic Processes and their Applications 2 Journal of Dynamics and Differential Equations 2 Journal of Difference Equations and Applications 2 Vietnam Journal of Mathematics 2 Positivity 2 Communications in Nonlinear Science and Numerical Simulation 2 Annales Henri Poincaré 2 Mathematical Modelling of Natural Phenomena 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Afrika Matematika 2 Communications in Applied and Industrial Mathematics 2 Journal of Theoretical Biology 2 Journal of Function Spaces 2 Open Mathematics 1 Advances in Applied Probability 1 Archive for Rational Mechanics and Analysis 1 International Journal of Mathematical Education in Science and Technology 1 Inverse Problems 1 Israel Journal of Mathematics 1 Journal of Computational Physics 1 Physica A 1 Studia Mathematica 1 Theoretical and Mathematical Physics 1 Mathematics of Computation 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Applied Mathematics and Optimization 1 BIT 1 Journal of Computational and Applied Mathematics 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Quarterly of Applied Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Systems & Control Letters 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 The Annals of Applied Probability 1 Applications of Mathematics 1 Applied Mathematical Modelling 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série ...and 61 more Serials
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### Cited in 41 Fields

 186 Partial differential equations (35-XX) 164 Operator theory (47-XX) 96 Biology and other natural sciences (92-XX) 95 Statistical mechanics, structure of matter (82-XX) 62 Ordinary differential equations (34-XX) 60 Numerical analysis (65-XX) 50 Integral equations (45-XX) 46 Probability theory and stochastic processes (60-XX) 37 Dynamical systems and ergodic theory (37-XX) 29 Fluid mechanics (76-XX) 12 Systems theory; control (93-XX) 11 Functional analysis (46-XX) 10 Combinatorics (05-XX) 10 Classical thermodynamics, heat transfer (80-XX) 8 Operations research, mathematical programming (90-XX) 7 Quantum theory (81-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Real functions (26-XX) 4 Difference and functional equations (39-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of deformable solids (74-XX) 4 Optics, electromagnetic theory (78-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Group theory and generalizations (20-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Geometry (51-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Convex and discrete geometry (52-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)

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