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Existence of solutions of infinite systems of integral equations in two variables via measure of noncompactness

✍ Scribed by Arab, Reza; Allahyari, Reza; Haghighi, Ali Shole

Book ID
126218678
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
373 KB
Volume
246
Category
Article
ISSN
0096-3003

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πŸ“œ SIMILAR VOLUMES

An existence theorem for a class of infi
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✍ J. BanasΜ€; M. Lecko πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 451 KB

## An existence theorem for a class of infinite systems of integral equations is proved with the help of the Schauder Axed-point theorem. The obtained result is applied in order to show the solvability of a semilinear upper diagonal infinite system of integral equations.

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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-Scha