Monotone method for differential inequalities for the boundary value problems with deviating argument and discontinuous nonlinearity
type: Item
instance of: scholarly article
title: Monotone method for differential inequalities for the boundary value problems with deviating argument and discontinuous nonlinearity
zbMATH Open document ID: 0851.34066
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1996-07-03T00:00:00Z
review text: The author studies the nonlinear boundary value problem of second-order with deviating argument \(- x''(t)+ qx'(t)+ rx(t)= f(t, x(t), x(\varphi(t))\) for a.e. \(t\in I\), with general condition of Dirichlet/Neumann type \(B_1 x(t)= \alpha_0 x(t)- \alpha_1 x'(t)= \alpha(t)\), \(t\in I_1\), \(B_2 x(t)= \beta_0 x(t)+ \beta_1 x'(t)= \beta(t)\), \(t\in I_2\), where \(f\) is assumed to be continuous at the end points of the interval \(I\) and bounded on its domain.
Mathematics Subject Classification ID: 34K10
Mathematics Subject Classification ID: 34A40
Mathematics Subject Classification ID: 34A45
zbMATH DE Number: 870998
zbMATH Keywords: nonlinear boundary value problem of second-order with deviating argument
author: Bapurao C. Dhage
reviewed by: Teodor-Dumitru Havarneanu
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 870998