Some results on boundary value problems for functional differential equations
type: Item
instance of: scholarly article
title: Some results on boundary value problems for functional differential equations
zbMATH Open document ID: 0847.34074
DOI: 10.1155/S0161171296000476
author: Sotiris K. Ntouyas
author: Panagiotis Ch. Tsamatos
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1996-05-06T00:00:00Z
full work available at URL: https://eudml.org/doc/47506
review text: The boundary value problem \((*)\) \(x''(t)+ f(t, x_t, x'(t))= 0\), \(t\in [0, T]\), \(a_0 x_0- b_0 x' (0)= \varphi\), \(c_0 x(T)+ d_0 x' (T)= \eta\), \(x_0= x(\theta)\), \(\theta\in [-r, 0]\), \(\varphi\in \mathbb{C}\), \(\eta\in \mathbb{R}^n\), is considered. Using a priori estimates and the nonlinear alternative of Leray-Schauder the existence of at least one solution to \((*)\) is demonstrated. The result is a generalization of a recent one for ODE and completes an earlier one on the same problem \((*)\).
Mathematics Subject Classification ID: 34K10
zbMATH DE Number: 874318
zbMATH Keywords: boundary value problem
reviewed by: Tadeusz Dłotko
MaRDI profile type: Publication
OpenAlex ID: W2128206348
description: scientific article; zbMATH DE number 874318