Periodic boundary value problems for second order nonlinear coupled ordinary differential systems
type: Item
instance of: scholarly article
title: Periodic boundary value problems for second order nonlinear coupled ordinary differential systems
zbMATH Open document ID: 0824.34030
author: K. Narsimha Reddy
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1995-04-04T00:00:00Z
review text: The author considers the system of differential equations \(-u''= f(t, u, v)+ p(t)\), \(-v''= g(t, u, v)+ q(t)\) with boundary conditions of the form \(u(0)= u(T)\), \(u'(0)= u'(T)\), \(v(0)= v(T)\), and \(V'(0)= v'(T)\). The functions \(f\), \(g\), \(p\) and \(q\) are assumed to be continuous on the respective domains. Existence of solutions for the above periodic boundary value problem is established under fairly general assumptions and the results generalize several known results.
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 740399
zbMATH Keywords: existence
zbMATH Keywords: periodic boundary value problem
reviewed by: V. Sree Hari Rao
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 740399