Monotone iterative methods for infinite systems of parabolic functional differential equations

DOI10.1016/J.NA.2012.02.021zbMath1238.35170OpenAlexW2081644212MaRDI QIDQ417774

Danuta Jaruszewska-Walczak

Publication date: 14 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.02.021

zbMATH Keywords

lower and upper solutionsregular solutionsChaplygin sequencesmethod of direct iterations

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (2)

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Cites Work

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• Monotone iterative method for infinite systems of parabolic functional-differential equations with nonlocal initial conditions
• Hyperbolic functional-differential equations with unbounded delay
• Existence of solutions for the discrete coagulation-fragmentation model with diffusion
• Existence of solutions of nonlinear infinite systems of parabolic differential-functional equations.
• Theory and applications of partial functional differential equations
• Comparison theorems for infinite systems of parabolic functional-differential equations
• A nonlocal coagulation-fragmentation model
• Mass-conserving solutions to the discrete coagulation-fragmentation model with diffusion

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