The Goursat problem with integral boundary conditions
type: Item
instance of: scholarly article
title: The Goursat problem with integral boundary conditions
zbMATH Open document ID: 0716.35044
DOI: 10.1007/BF01066375
author: S. V. Zhestkov
published in: Ukrainian Mathematical Journal
publication date: 1990-01-01T00:00:00Z
review text: Here is proved uniqueness and existence of the classical solution of a nonlinear Goursat problem with integral boundary conditions. This main result of the paper is obtained on the basis of the contraction mapping principle and the method of successive approximations. A priori estimates for the solution in question and its partial derivatives are found. In addition, the similar Goursat problem is considered for the multi-point boundary conditions instead of the integral ones. References, 6 in number, reflect the specific topic.
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 4179935
zbMATH Keywords: uniqueness
zbMATH Keywords: existence
zbMATH Keywords: classical solution
zbMATH Keywords: nonlinear Goursat problem
zbMATH Keywords: contraction
MaRDI profile type: Publication
cites work: Q3699272
cites work: Q3756669
description: scientific article; zbMATH DE number 4179935