Existence of solutions and monotone iterative method for infinite systems of parabolic differential-functional equations

DOI10.4064/ap-72-1-15-24zbMath0953.35140OpenAlexW214089951MaRDI QIDQ4949752

S. Brzychczy

Publication date: 24 January 2001

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap-72-1-15-24

zbMATH Keywords

existenceuniquenessinfinite systems of parabolic differential-functional equationsmonotone iterative method of lower and upper functions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Partial functional-differential equations (35R10) Theoretical approximation in context of PDEs (35A35) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Related Items (2)

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.

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