Existence and uniqueness of classical solution to Darboux problem together with nonlocal conditions

Ludwik Byszewski

Published: 2013-09-30
Language: EN

Vol. 27 (2013)

Existence and uniqueness of classical solution to Darboux problem together with nonlocal conditions

Ludwik Byszewski

Abstract

The existence and uniqueness of a classical solution to a semilinear hyperbolic differential Darboux problem together with semilinear nonlocal conditions in a bounded domain are studied. The Banach fixed point theorem is applied.

(EN)

Keywords:

hyperbolic differential problem , Darboux problem , semilinear equation , semilinear nonlocal conditions , existence and uniqueness of a classical solution , Banach fixed point theorem (EN)

Download files

PDF

Citation rules

Byszewski, L. (2013). Existence and uniqueness of classical solution to Darboux problem together with nonlocal conditions. Annales Mathematicae Silesianae, 27, 67–74. Retrieved from https://trrest.vot.pl/ojsus/index.php/AMSIL/article/view/14002

Vol. 27 (2013)
Published: 2013-09-30

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

Submit