Edit Profile (opens in new tab) Banasiak, Jacek Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1097.47038Banasiak, Jacek; Arlotti, Luisa 98 2006 Methods of small parameter in mathematical biology. Zbl 1309.92012Banasiak, Jacek; Lachowicz, Mirosław 45 2014 Singularly perturbed telegraph equations with applications in the random walk theory. Zbl 0909.35011Banasiak, Jacek; Mika, Janusz R. 35 1998 A generalization of Desch-Schappacher-Webb criteria for chaos. Zbl 1084.47033Banasiak, Jacek; Moszyński, Marcin 31 2005 Dynamics of birth-and-death processes with proliferation – stability and chaos. Zbl 1219.34014Banasiak, Jacek; Moszyński, Marcin 21 2011 Asynchronous exponential growth of a general structured population model. Zbl 1301.47055Banasiak, Jacek; Pichór, Katarzyna; Rudnicki, Ryszard 20 2012 Singularly perturbed evolution equations with applications to kinetic theory. Zbl 0948.35500Mika, J. R.; Banasiak, J. 19 1995 Strictly substochastic semigroups with application to conservative and shattering solutions to fragmentation equations with mass loss. Zbl 1075.47023Arlotti, Luisa; Banasiak, Jacek 17 2004 Analytic fragmentation semigroups and continuous coagulation-fragmentation equations with unbounded rates. Zbl 1246.35200Banasiak, Jacek; Lamb, Wilson 17 2012 Asymptotic state lumping in transport and diffusion problems on networks with applications to population problems. Zbl 1355.92084Banasiak, Jacek; Falkiewicz, Aleksandra; Namayanja, Proscovia 16 2016 On an extension of the Kato-Voigt perturbation theorem for substochastic semigroups and its application. Zbl 1002.47021Banasiak, J. 16 2001 Topological chaos for birth-and-death-type models with proliferation. Zbl 1043.37056Banasiak, Jacek; Lachowicz, Mirosław 16 2002 On mixed boundary value problems of Dirichlet oblique-derivative type in plane domains with piecewise differentiable boundary. Zbl 0698.35046Banasiak, J.; Roach, G. F. 16 1989 Global strict solutions to continuous coagulation-fragmentation equations with strong fragmentation. Zbl 1228.35261Banasiak, Jacek; Lamb, Wilson 15 2011 Coagulation, fragmentation and growth processes in a size structured population. Zbl 1178.35136Banasiak, Jacek; Lamb, Wilson 14 2009 On a non-uniqueness in fragmentation models. Zbl 1040.47054Banasiak, J. 13 2002 On the application of substochastic semigroup theory to fragmentation models with mass loss. Zbl 1059.47046Banasiak, Jacek; Lamb, Wilson 12 2003 Conservative and shattering solutions for some classes of fragmentation models. Zbl 1090.47026Banasiak, Jacek 12 2004 Transport processes with coagulation and strong fragmentation. Zbl 1235.35275Banasiak, Jacek 11 2012 Asymptotic behaviour of flows on reducible networks. Zbl 1304.35723Banasiak, Jacek; Namayanja, Proscovia 11 2014 Semigroup approach to diffusion and transport problems on networks. Zbl 1358.90018Banasiak, Jacek; Falkiewicz, Aleksandra; Namayanja, Proscovia 11 2016 Global classical solutions of coagulation-fragmentation equations with unbounded coagulation rates. Zbl 1238.34019Banasiak, Jacek 11 2012 Shattering and non-uniqueness in fragmentation models – an analytic approach. Zbl 1129.82034Banasiak, J. 10 2006 Semigroups for generalized birth-and-death equations in \(l^p\) spaces. Zbl 1178.47027Banasiak, Jacek; Lachowicz, Mirosław; Moszyński, Marcin 10 2006 On a macroscopic limit of a kinetic model of alignment. Zbl 1277.92003Banasiak, Jacek; Lachowicz, Mirosław 10 2013 Inelastic scattering models in transport theory and their small mean free path analysis. Zbl 0983.82013Banasiak, J.; Frosali, G.; Spiga, G. 10 2000 On general transport equations with abstract boundary conditions. The case of divergence free force field. Zbl 1230.47073Arlotti, Luisa; Banasiak, Jacek; Lods, Bertrand 10 2011 A new approach to transport equations associated to a regular field: Trace results and well-posedness. Zbl 1198.47055Arlotti, Luisa; Banasiak, Jacek; Lods, Bertrand 10 2009 Aggregation in age and space structured population models: an asymptotic analysis approach. Zbl 1241.35206Banasiak, J.; Goswami, A.; Shindin, S. 10 2011 Chaotic behavior of semigroups related to the process of gene amplification-deamplification with cell proliferation. Zbl 1118.92022Banasiak, Jacek; Lachowicz, Mirosław; Moszyński, Marcin 10 2007 Some transport and diffusion processes on networks and their graph realizability. Zbl 1311.05072Banasiak, J.; Falkiewicz, A. 9 2015 Strong fragmentation and coagulation with power-law rates. Zbl 1360.35279Banasiak, Jacek; Lamb, Wilson; Langer, Matthias 8 2013 On a diffusion-kinetic equation arising in extended kinetic theory. Zbl 0972.35092Banasiak, Jacek 8 2000 Asymptotic analysis for a particle transport equation with inelastic scattering in extended kinetic theory. Zbl 0957.82032Banasiak, Jacek; Frosali, Giovanni; Spiga, Giampiero 8 1998 Interplay between degenerate convergence of semigroups and asymptotic analysis: a study of a singularly perturbed abstract telegraph system. Zbl 1239.34064Banasiak, Jacek; Bobrowski, Adam 8 2009 Diffusion limit for the linear Boltzmann equation of the neutron transport theory. Zbl 0805.35090Banasiak, J.; Mika, J. R. 8 1994 Diffusion approximation for the linear Boltzmann equation of semiconductor theory with analysis of the initial layer. Zbl 0879.35146Banasiak, J. 7 1997 Asymptotic analysis of the Fokker-Planck equation related to Brownian motion. Zbl 0795.35126Banasiak, J.; Mika, J. R. 7 1994 The discrete fragmentation equation: semigroups, compactness and asynchronous exponential growth. Zbl 1279.34068Banasiak, Jacek; Lamb, Wilson 7 2012 On corner singularities of solutions to mixed boundary-value problems for second-order elliptic and parabolic equations. Zbl 0735.35025Banasiak, Jacek; Roach, Gary F. 6 1991 Global solvability of a fragmentation-coagulation equation with growth and restricted coagulation. Zbl 1362.92015Banasiak, Jacek; Oukouomi Noutchie, Suares Clovis; Rudnicki, Ryszard 6 2009 Mathematical properties of inelastic scattering models in linear kinetic theory. Zbl 1010.82030Banasiak, Jacek 6 2000 Kinetic models in natural sciences. Zbl 1335.47045Banasiak, Jacek 6 2015 Some contribution to the geometry of normed linear spaces. Zbl 0672.46011Banasiak, Jacek 6 1988 Conservative and non-conservative Boltzmann-type models of semiconductor theory. Zbl 1139.47312Arlotti, L.; Banasiak, J.; Ciake, F. L. Ciake 6 2006 Hypercyclicity and chaoticity spaces of \(C_0\) semigroups. Zbl 1152.47008Banasiak, Jacek; Moszyński, Marcin 6 2008 Chaos in Kolmogorov systems with proliferation – general criteria and applications. Zbl 1281.47027Banasiak, J. 5 2011 Interplay of elastic and inelastic scattering operators in extended kinetic models and their hydrodynamic limits: Reference manual. Zbl 1029.76049Banasiak, Jacek; Frosali, Giovanni; Spiga, Giampiero 5 2002 Topological chaos: When topology meets medicine. Zbl 1075.47024Banasiak, J.; Lachowicz, M.; Moszyński, M. 5 2003 A singularly perturbed SIS model with age structure. Zbl 1269.92061Banasiak, Jacek; Phongi, Eddy Kimba; Lachowicz, Mirosław 5 2013 On transport equations driven by a non-divergence-free force field. Zbl 1157.35493Arlotti, L.; Banasiak, J.; Lods, B. 5 2007 Controlling number of particles in fragmentation equations. Zbl 1219.47145Banasiak, J.; Oukouomi Noutchie, S. C. 4 2010 Pseudospectral Laguerre approximation of transport-fragmentation equations. Zbl 1334.65164Banasiak, J.; Parumasur, N.; Poka, W. D.; Shindin, S. 4 2014 Singularly perturbed population models with reducible migration matrix: 2. Asymptotic analysis and numerical simulations. Zbl 1301.92059Banasiak, Jacek; Goswami, Amartya; Shindin, Sergey 4 2014 On an irregular dynamics of certain fragmentation semigroups. Zbl 1273.47066Banasiak, Jacek 4 2011 Diffusion approximations of a linear kinetic equation with inelastic scattering: Asymptotic analysis and numerical results. Zbl 0943.35070Banasiak, Jacek; Demeio, Lucio 4 1999 Chaotic linear dynamical systems with applications. Zbl 1035.37014Banasiak, J.; Lachowicz, M. 4 2002 Nonautonomous fragmentation equation via evolution semigroups. Zbl 1213.47045Arlotti, L.; Banasiak, J. 4 2010 On well-posedness of a Boltzmann-like semiconductor model. Zbl 1063.47030Banasiak, Jacek 4 2003 A singular limit for an age structured mutation problem. Zbl 1352.35197Banasiak, Jacek; Falkiewicz, Aleksandra 4 2017 Mathematical modelling in one dimension. An introduction via difference and differential equations. Zbl 1290.00018Banasiak, Jacek 4 2013 Discrete growth-decay-fragmentation equation: well-posedness and long-term dynamics. Zbl 1474.34399Banasiak, J.; Joel, L. O.; Shindin, S. 3 2019 Generalized network transport and Euler-Hille formula. Zbl 1471.35287Banasiak, Jacek; Puchalska, Aleksandra 3 2018 Analytic methods for coagulation-fragmentation models. Volume I. Zbl 1434.82001Banasiak, Jacek; Lamb, Wilson; Laurençot, Philippe 3 2020 Analytic methods for coagulation-fragmentation models. Volume II. Zbl 1434.82002Banasiak, Jacek; Lamb, Wilson; Laurençot, Philippe 3 2020 Explicit formulae for limit periodic flows on networks. Zbl 1382.35321Banasiak, J. 3 2016 A singularly perturbed age structured SIRS model with fast recovery. Zbl 1308.34067Massoukou, Rodrigue Yves M’pika; Banasiak, Jacek 3 2014 Singularly perturbed population models with reducible migration matrix. I: Sova-Kurtz theorem and the convergence to the aggregated model. Zbl 1333.92042Banasiak, Jacek; Goswami, Amartya 3 2015 Relative entropy and discrete Poincaré inequalities for reducible matrices. Zbl 1248.37026Banasiak, Jacek; Namayanja, Proscovia 3 2012 Generation results for \(B\)-bounded semigroups. Zbl 1005.47042Banasiak, J. 3 1998 Universality of dishonesty of substochastic semigroups: shattering fragmentations and explosive birth-and-death processes. Zbl 1096.47064Banasiak, Jacek; Mokhtar-Kharroubi, Mustapha 3 2005 A complete description of dynamics generated by birth-and-death problem: a semigroup approach. Zbl 1070.47032Banasiak, Jacek 3 2004 Singularly perturbed linear and semilinear hyperbolic systems: Kinetic theory approach to some folk’s theorems. Zbl 0893.35009Banasiak, J. 3 1997 Asymptotic analysis of singularly perturbed dynamical systems of kinetic type. Zbl 1192.35013Banasiak, Jacek 3 2009 A semigroup related to a convex combination of boundary conditions obtained as a result of averaging other semigroups. Zbl 1325.47085Banasiak, Jacek; Bobrowski, Adam 3 2015 Diffusion limit for a linear kinetic equation. Zbl 0821.45004Mika, J. R.; Banasiak, J. 3 1995 Asymptotic analysis of a model kinetic equation. Zbl 0845.34063Mika, Janusz R.; Banasiak, Jacek 3 1995 Birth-and-death type systems with parameter and chaotic dynamics of some linear kinetic models. Zbl 1103.34048Banasiak, J. 3 2006 On a coagulation and fragmentation equation with mass loss. Zbl 1125.45009Banasiak, Jacek; Lamb, Wilson 3 2006 Kinetic-type models with diffusion: conservative and nonconservative solutions. Zbl 1147.82344Banasiak, J. 3 2007 Asymptotic analysis of abstract linear kinetic equations. Zbl 0855.34066Banasiak, J. 3 1996 On a three-stage structured model for the dynamics of malaria transmission with human treatment, adult vector demographics and one aquatic stage. Zbl 1422.92160Ngwa, Gideon A.; Teboh-Ewungkem, Miranda I.; Dumont, Yves; Ouifki, Rachid; Banasiak, Jacek 2 2019 Effective and ineffective treatment in a malaria model for humans in an endemic region. Zbl 1438.92054Danquah, B. A.; Chirove, F.; Banasiak, Jacek 2 2019 Causal relations in support of implicit evolution equations. Zbl 06969543Sauer, N.; Banasiak, J.; Lee, W.-S. 2 2018 Analysis and simulations of the discrete fragmentation equation with decay. Zbl 1402.39009Banasiak, J.; Joel, L. O.; Shindin, S. 2 2018 Around the Kato generation theorem for semigroups. Zbl 1115.47037Banasiak, Jacek; Lachowicz, Mirosław 2 2007 On \(L_ 2\)-solvability of mixed boundary value problems for elliptic equations in plane non-smooth domains. Zbl 0763.35027Banasiak, Jacek 2 1992 On asymptotics of solutions of elliptic mixed boundary value problems of second-order in domains with vanishing edges. Zbl 0794.35037Banasiak, Jacek 2 1992 Logarithmic norms and regular perturbations of differential equations. Zbl 1450.34038Banasiak, Jacek 2 2019 Transport on networks – a playground of continuous and discrete mathematics in population dynamics. Zbl 1430.92065Banasiak, Jacek; Puchalska, Aleksandra 2 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 2 2015 Canard-type solutions in epidemiological models. Zbl 1379.34042Kimba Phongi, Eddy; Banasiak, Jacek 2 2015 On the existence of moments of solutions to fragmentation equations. Zbl 1312.35018Banasiak, Jacek; Lamb, Wilson 2 2014 Delayed stability switches in singularly perturbed predator-prey models. Zbl 1418.34113Banasiak, J.; Tchamga, M. S. Seuneu 2 2017 A counterexample in the theory of mixed boundary value problems for elliptic equations in non-smooth domains. Zbl 0789.35041Banasiak, Jacek 2 1993 Positivity in natural sciences. Zbl 1264.92001Banasiak, Jacek 2 2008 The discrete unbounded coagulation-fragmentation equation with growth, decay and sedimentation. Zbl 1423.34020Banasiak, Jacek; Joel, Luke O.; Shindin, Sergey 1 2019 On the hydrodynamic limit of a linear kinetic equation with dominant elastic scattering. Zbl 1221.82079Banasiak, Jacek 1 2001 Multiple solutions to linear kinetic equations. Zbl 1029.82015Banasiak, J. 1 2003 Population models with projection matrix with some negative entries – a solution to the Natchez paradox. Zbl 1400.92425Banasiak, J. 1 2018 Analytic methods for coagulation-fragmentation models. Volume I. Zbl 1434.82001Banasiak, Jacek; Lamb, Wilson; Laurençot, Philippe 3 2020 Analytic methods for coagulation-fragmentation models. Volume II. Zbl 1434.82002Banasiak, Jacek; Lamb, Wilson; Laurençot, Philippe 3 2020 Global solutions of continuous coagulation-fragmentation equations with unbounded coefficients. Zbl 1467.35329Banasiak, Jacek 1 2020 Positive solutions to Sobolev type equations with relatively \(p\)-sectorial operators. Zbl 07293385Banasiak, Jacek; Manakova, Natal’ya Aleksandrovna; Sviridyuk, Georgiĭ Anatol’evich 1 2020 Discrete growth-decay-fragmentation equation: well-posedness and long-term dynamics. Zbl 1474.34399Banasiak, J.; Joel, L. O.; Shindin, S. 3 2019 On a three-stage structured model for the dynamics of malaria transmission with human treatment, adult vector demographics and one aquatic stage. Zbl 1422.92160Ngwa, Gideon A.; Teboh-Ewungkem, Miranda I.; Dumont, Yves; Ouifki, Rachid; Banasiak, Jacek 2 2019 Effective and ineffective treatment in a malaria model for humans in an endemic region. Zbl 1438.92054Danquah, B. A.; Chirove, F.; Banasiak, Jacek 2 2019 Logarithmic norms and regular perturbations of differential equations. Zbl 1450.34038Banasiak, Jacek 2 2019 Transport on networks – a playground of continuous and discrete mathematics in population dynamics. Zbl 1430.92065Banasiak, Jacek; Puchalska, Aleksandra 2 2019 The discrete unbounded coagulation-fragmentation equation with growth, decay and sedimentation. Zbl 1423.34020Banasiak, Jacek; Joel, Luke O.; Shindin, Sergey 1 2019 Generalized network transport and Euler-Hille formula. Zbl 1471.35287Banasiak, Jacek; Puchalska, Aleksandra 3 2018 Causal relations in support of implicit evolution equations. Zbl 06969543Sauer, N.; Banasiak, J.; Lee, W.-S. 2 2018 Analysis and simulations of the discrete fragmentation equation with decay. Zbl 1402.39009Banasiak, J.; Joel, L. O.; Shindin, S. 2 2018 Population models with projection matrix with some negative entries – a solution to the Natchez paradox. Zbl 1400.92425Banasiak, J. 1 2018 A singular limit for an age structured mutation problem. Zbl 1352.35197Banasiak, Jacek; Falkiewicz, Aleksandra 4 2017 Delayed stability switches in singularly perturbed predator-prey models. Zbl 1418.34113Banasiak, J.; Tchamga, M. S. Seuneu 2 2017 Asymptotic state lumping in transport and diffusion problems on networks with applications to population problems. Zbl 1355.92084Banasiak, Jacek; Falkiewicz, Aleksandra; Namayanja, Proscovia 16 2016 Semigroup approach to diffusion and transport problems on networks. Zbl 1358.90018Banasiak, Jacek; Falkiewicz, Aleksandra; Namayanja, Proscovia 11 2016 Explicit formulae for limit periodic flows on networks. Zbl 1382.35321Banasiak, J. 3 2016 Some transport and diffusion processes on networks and their graph realizability. Zbl 1311.05072Banasiak, J.; Falkiewicz, A. 9 2015 Kinetic models in natural sciences. Zbl 1335.47045Banasiak, Jacek 6 2015 Singularly perturbed population models with reducible migration matrix. I: Sova-Kurtz theorem and the convergence to the aggregated model. Zbl 1333.92042Banasiak, Jacek; Goswami, Amartya 3 2015 A semigroup related to a convex combination of boundary conditions obtained as a result of averaging other semigroups. Zbl 1325.47085Banasiak, Jacek; Bobrowski, Adam 3 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 2 2015 Canard-type solutions in epidemiological models. Zbl 1379.34042Kimba Phongi, Eddy; Banasiak, Jacek 2 2015 Methods of small parameter in mathematical biology. Zbl 1309.92012Banasiak, Jacek; Lachowicz, Mirosław 45 2014 Asymptotic behaviour of flows on reducible networks. Zbl 1304.35723Banasiak, Jacek; Namayanja, Proscovia 11 2014 Pseudospectral Laguerre approximation of transport-fragmentation equations. Zbl 1334.65164Banasiak, J.; Parumasur, N.; Poka, W. D.; Shindin, S. 4 2014 Singularly perturbed population models with reducible migration matrix: 2. Asymptotic analysis and numerical simulations. Zbl 1301.92059Banasiak, Jacek; Goswami, Amartya; Shindin, Sergey 4 2014 A singularly perturbed age structured SIRS model with fast recovery. Zbl 1308.34067Massoukou, Rodrigue Yves M’pika; Banasiak, Jacek 3 2014 On the existence of moments of solutions to fragmentation equations. Zbl 1312.35018Banasiak, Jacek; Lamb, Wilson 2 2014 On a macroscopic limit of a kinetic model of alignment. Zbl 1277.92003Banasiak, Jacek; Lachowicz, Mirosław 10 2013 Strong fragmentation and coagulation with power-law rates. Zbl 1360.35279Banasiak, Jacek; Lamb, Wilson; Langer, Matthias 8 2013 A singularly perturbed SIS model with age structure. Zbl 1269.92061Banasiak, Jacek; Phongi, Eddy Kimba; Lachowicz, Mirosław 5 2013 Mathematical modelling in one dimension. An introduction via difference and differential equations. Zbl 1290.00018Banasiak, Jacek 4 2013 Asynchronous exponential growth of a general structured population model. Zbl 1301.47055Banasiak, Jacek; Pichór, Katarzyna; Rudnicki, Ryszard 20 2012 Analytic fragmentation semigroups and continuous coagulation-fragmentation equations with unbounded rates. Zbl 1246.35200Banasiak, Jacek; Lamb, Wilson 17 2012 Transport processes with coagulation and strong fragmentation. Zbl 1235.35275Banasiak, Jacek 11 2012 Global classical solutions of coagulation-fragmentation equations with unbounded coagulation rates. Zbl 1238.34019Banasiak, Jacek 11 2012 The discrete fragmentation equation: semigroups, compactness and asynchronous exponential growth. Zbl 1279.34068Banasiak, Jacek; Lamb, Wilson 7 2012 Relative entropy and discrete Poincaré inequalities for reducible matrices. Zbl 1248.37026Banasiak, Jacek; Namayanja, Proscovia 3 2012 Dynamics of birth-and-death processes with proliferation – stability and chaos. Zbl 1219.34014Banasiak, Jacek; Moszyński, Marcin 21 2011 Global strict solutions to continuous coagulation-fragmentation equations with strong fragmentation. Zbl 1228.35261Banasiak, Jacek; Lamb, Wilson 15 2011 On general transport equations with abstract boundary conditions. The case of divergence free force field. Zbl 1230.47073Arlotti, Luisa; Banasiak, Jacek; Lods, Bertrand 10 2011 Aggregation in age and space structured population models: an asymptotic analysis approach. Zbl 1241.35206Banasiak, J.; Goswami, A.; Shindin, S. 10 2011 Chaos in Kolmogorov systems with proliferation – general criteria and applications. Zbl 1281.47027Banasiak, J. 5 2011 On an irregular dynamics of certain fragmentation semigroups. Zbl 1273.47066Banasiak, Jacek 4 2011 Blow-up of solutions to some coagulation and fragmentation equations with growth. Zbl 1306.35008Banasiak, Jacek 1 2011 Controlling number of particles in fragmentation equations. Zbl 1219.47145Banasiak, J.; Oukouomi Noutchie, S. C. 4 2010 Nonautonomous fragmentation equation via evolution semigroups. Zbl 1213.47045Arlotti, L.; Banasiak, J. 4 2010 Coagulation, fragmentation and growth processes in a size structured population. Zbl 1178.35136Banasiak, Jacek; Lamb, Wilson 14 2009 A new approach to transport equations associated to a regular field: Trace results and well-posedness. Zbl 1198.47055Arlotti, Luisa; Banasiak, Jacek; Lods, Bertrand 10 2009 Interplay between degenerate convergence of semigroups and asymptotic analysis: a study of a singularly perturbed abstract telegraph system. Zbl 1239.34064Banasiak, Jacek; Bobrowski, Adam 8 2009 Global solvability of a fragmentation-coagulation equation with growth and restricted coagulation. Zbl 1362.92015Banasiak, Jacek; Oukouomi Noutchie, Suares Clovis; Rudnicki, Ryszard 6 2009 Asymptotic analysis of singularly perturbed dynamical systems of kinetic type. Zbl 1192.35013Banasiak, Jacek 3 2009 Conservativeness in nonlocal fragmentation models. Zbl 1185.74008Banasiak, Jacek; Oukouomi Noutchie, S. C. 1 2009 Multiple scales problems in biomathematics, mechanics, physics and numerics, CIMPA school, Cape Town, South Africa, August 6–18, 2007. Zbl 1171.65002 1 2009 Hypercyclicity and chaoticity spaces of \(C_0\) semigroups. Zbl 1152.47008Banasiak, Jacek; Moszyński, Marcin 6 2008 Positivity in natural sciences. Zbl 1264.92001Banasiak, Jacek 2 2008 Chaotic behavior of semigroups related to the process of gene amplification-deamplification with cell proliferation. Zbl 1118.92022Banasiak, Jacek; Lachowicz, Mirosław; Moszyński, Marcin 10 2007 On transport equations driven by a non-divergence-free force field. Zbl 1157.35493Arlotti, L.; Banasiak, J.; Lods, B. 5 2007 Kinetic-type models with diffusion: conservative and nonconservative solutions. Zbl 1147.82344Banasiak, J. 3 2007 Around the Kato generation theorem for semigroups. Zbl 1115.47037Banasiak, Jacek; Lachowicz, Mirosław 2 2007 Perturbations of positive semigroups with applications. Zbl 1097.47038Banasiak, Jacek; Arlotti, Luisa 98 2006 Shattering and non-uniqueness in fragmentation models – an analytic approach. Zbl 1129.82034Banasiak, J. 10 2006 Semigroups for generalized birth-and-death equations in \(l^p\) spaces. Zbl 1178.47027Banasiak, Jacek; Lachowicz, Mirosław; Moszyński, Marcin 10 2006 Conservative and non-conservative Boltzmann-type models of semiconductor theory. Zbl 1139.47312Arlotti, L.; Banasiak, J.; Ciake, F. L. Ciake 6 2006 Birth-and-death type systems with parameter and chaotic dynamics of some linear kinetic models. Zbl 1103.34048Banasiak, J. 3 2006 On a coagulation and fragmentation equation with mass loss. Zbl 1125.45009Banasiak, Jacek; Lamb, Wilson 3 2006 A generalization of Desch-Schappacher-Webb criteria for chaos. Zbl 1084.47033Banasiak, Jacek; Moszyński, Marcin 31 2005 Universality of dishonesty of substochastic semigroups: shattering fragmentations and explosive birth-and-death processes. Zbl 1096.47064Banasiak, Jacek; Mokhtar-Kharroubi, Mustapha 3 2005 Diffusion approximation of linear kinetic equations with non-equilibrium data-computational experiments. Zbl 1107.82074Banasiak, J.; Kozakiewicz, J. M.; Parumasur, N. 1 2005 Strictly substochastic semigroups with application to conservative and shattering solutions to fragmentation equations with mass loss. Zbl 1075.47023Arlotti, Luisa; Banasiak, Jacek 17 2004 Conservative and shattering solutions for some classes of fragmentation models. Zbl 1090.47026Banasiak, Jacek 12 2004 A complete description of dynamics generated by birth-and-death problem: a semigroup approach. Zbl 1070.47032Banasiak, Jacek 3 2004 On the application of substochastic semigroup theory to fragmentation models with mass loss. Zbl 1059.47046Banasiak, Jacek; Lamb, Wilson 12 2003 Topological chaos: When topology meets medicine. Zbl 1075.47024Banasiak, J.; Lachowicz, M.; Moszyński, M. 5 2003 On well-posedness of a Boltzmann-like semiconductor model. Zbl 1063.47030Banasiak, Jacek 4 2003 Multiple solutions to linear kinetic equations. Zbl 1029.82015Banasiak, J. 1 2003 Solvability of linear kinetic equations with multi-energetic inelastic scattering. Zbl 1068.82019Banasiak, Jacek; Groppi, Maria 1 2003 Topological chaos for birth-and-death-type models with proliferation. Zbl 1043.37056Banasiak, Jacek; Lachowicz, Mirosław 16 2002 On a non-uniqueness in fragmentation models. Zbl 1040.47054Banasiak, J. 13 2002 Interplay of elastic and inelastic scattering operators in extended kinetic models and their hydrodynamic limits: Reference manual. Zbl 1029.76049Banasiak, Jacek; Frosali, Giovanni; Spiga, Giampiero 5 2002 Chaotic linear dynamical systems with applications. Zbl 1035.37014Banasiak, J.; Lachowicz, M. 4 2002 On an extension of the Kato-Voigt perturbation theorem for substochastic semigroups and its application. Zbl 1002.47021Banasiak, J. 16 2001 On the hydrodynamic limit of a linear kinetic equation with dominant elastic scattering. Zbl 1221.82079Banasiak, Jacek 1 2001 On the existence of propagators in stationary Wigner equation without velocity cut-off. Zbl 0990.82019Banasiak, Jacek; Barletti, Luigi 1 2001 Inelastic scattering models in transport theory and their small mean free path analysis. Zbl 0983.82013Banasiak, J.; Frosali, G.; Spiga, G. 10 2000 On a diffusion-kinetic equation arising in extended kinetic theory. Zbl 0972.35092Banasiak, Jacek 8 2000 Mathematical properties of inelastic scattering models in linear kinetic theory. Zbl 1010.82030Banasiak, Jacek 6 2000 Diffusion approximation of an inelastic scattering model in linear kinetic theory. Zbl 1034.82045Banasiak, Jacek 1 2000 The existence of moments of solutions to transport equations with inelastic scattering and their application in the asymptotic analysis. Zbl 0976.45007Banasiak, J. 1 2000 Diffusion approximations of a linear kinetic equation with inelastic scattering: Asymptotic analysis and numerical results. Zbl 0943.35070Banasiak, Jacek; Demeio, Lucio 4 1999 Singularly perturbed telegraph equations with applications in the random walk theory. Zbl 0909.35011Banasiak, Jacek; Mika, Janusz R. 35 1998 Asymptotic analysis for a particle transport equation with inelastic scattering in extended kinetic theory. Zbl 0957.82032Banasiak, Jacek; Frosali, Giovanni; Spiga, Giampiero 8 1998 Generation results for \(B\)-bounded semigroups. Zbl 1005.47042Banasiak, J. 3 1998 Diffusion approximation for the linear Boltzmann equation of semiconductor theory with analysis of the initial layer. Zbl 0879.35146Banasiak, J. 7 1997 Singularly perturbed linear and semilinear hyperbolic systems: Kinetic theory approach to some folk’s theorems. Zbl 0893.35009Banasiak, J. 3 1997 Asymptotic analysis of abstract linear kinetic equations. Zbl 0855.34066Banasiak, J. 3 1996 Singularly perturbed evolution equations with applications to kinetic theory. Zbl 0948.35500Mika, J. R.; Banasiak, J. 19 1995 ...and 12 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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