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

โœ Scribed by S. Brzychczy

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
602 KB
Volume
36
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

we consider the Fourier first initial-boundary value problem for an infinite system of nonlinear differential-functional equations. The right-hand sides of the system are functionals of unknown functions of the Volterra type. The existence of the solutions to this problem is proved by the Leray-Schauder fixed-point theorem.

๐Ÿ“œ SIMILAR VOLUMES

Existence and uniqueness of solutions of
Existence and uniqueness of solutions of infinite systems of semilinear parabolic differential-functional equations in arbitrary domains in ordered banach spaces
โœ S. Brzychczy ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 530 KB

We consider the Fourier first initial-boundary value problem for a weakly coupled infinite system of semilinear parabolic differential-functional equations of reaction-diffusion type in arbitrary (bounded or unbounded) domain. The right-hand sides of the system are functionals of unknown functions o