Periodic boundary value problems for second order functional differential equations
type: Item
instance of: scholarly article
title: Periodic boundary value problems for second order functional differential equations
zbMATH Open document ID: 1082.34534
author: Zhongli Wei
author: Changci Pang
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 2005-06-07T00:00:00Z
review text: The authors study the existence of solutions of periodic boundary value problems for the nonlinear second-order functional-differential equation \[ -x''(t)=f(t,x(t),x_t), \quad t\in [0,2\pi], \qquad x(0)=x(2\pi), \quad x'(0)=x'(2\pi). \tag{1} \] By establishing some comparison results and using monotone iterative technique two theorems on the existence of maximal and minimal solutions of (1) are obtained.
reviewed by: Jurang Yan
Mathematics Subject Classification ID: 34K10
zbMATH DE Number: 2174212
zbMATH Keywords: periodic boundary value problem
zbMATH Keywords: second order
zbMATH Keywords: functional-differential equation
MaRDI profile type: Publication
full work available at URL: s10255-004-0146-2
OpenAlex ID: W1997568028
cites work: Boundary value problems for functional differential equations
cites work: Periodic boundary value problems and monotone iterative methods for functional differential equations
cites work: Theory of functional differential equations. 2nd ed
cites work: Q4229393
cites work: Monotone iterative method for functional differential equations
cites work: Q5691213
cites work: Q4716265
DOI: 10.1007/S10255-004-0146-2
description: scientific article; zbMATH DE number 2174212