Existence results for \(m\)-point boundary value problems
type: Item
instance of: scholarly article
title: Existence results for \(m\)-point boundary value problems
zbMATH Open document ID: 0877.34019
author: Chaitan P. Gupta
author: Sotiris K. Ntouyas
author: Panagiotis Ch. Tsamatos
published in: Differential Equations and Dynamical Systems
publication date: 1997-12-14T00:00:00Z
review text: The paper deals with existence and uniqueness of solutions of a boundary value problem of the form \[ x''(t)= f(t,x(t),x'(t))+ e(t),\quad 0<t<1,\quad x(0)=0\quad\text{and }x'(1)= \sum^{m-2}_{i=1} a_ix'(\xi_i), \] where \(0<\xi_i<\cdots<\xi_{m- 2}<1\), the coefficients \(a_i\) have the same sign, \(\sum a_i=1\). Some existence results are obtained by using the Leray-Schauder continuation theorem.
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 1014346
zbMATH Keywords: existence and uniqueness of solutions
zbMATH Keywords: boundary value problem
reviewed by: George Karakostas
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1014346