Existence of solutions of nonlinear infinite systems of parabolic differential-functional equations.

DOI10.1016/S0895-7177(02)00174-7zbMath1037.35091OpenAlexW2016135526MaRDI QIDQ1410118

S. Brzychczy

Publication date: 14 October 2003

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(02)00174-7

zbMATH Keywords

existenceinitial boundary value problemLeray-Schauder fixed-point theroem

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Second-order parabolic systems (35K40)

Related Items (5)

Monotone iterative methods for infinite systems of parabolic functional differential equations ⋮ Estimate of solutions for differential and difference functional equations with applications to difference methods ⋮ Existence of solutions of nonlinear infinite systems of parabolic differential-functional equations. ⋮ Existence and uniqueness of solutions of infinite systems of semilinear parabolic differential-functional equations in arbitrary domains in ordered Banach spaces. ⋮ GLOBAL EXPONENTIAL STABILITY CONDITIONS FOR DELAYED PARABOLIC NEURAL NETWORKS WITH VARIABLE COEFFICIENTS

Cites Work

• Existence of solutions of nonlinear infinite systems of parabolic differential-functional equations.
• An existence theorem for a class of infinite systems of integral equations
• Existence and uniqueness of solutions of nonlinear infinite systems of parabolic differential-functional equations
• A nonlocal coagulation-fragmentation model
• AN INFINITE SYSTEM OF DIFFUSION EQUATIONS ARISING IN TRANSPORT THEORY: THE COUPLED SPHERICAL HARMONICS EXPANSION MODEL
• Existence of solutions and monotone iterative method for infinite systems of parabolic differential-functional equations
• Some theorems on the estimate and existence of solutions of integro-differential equations of parabolic type
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