Multiple positive solutions to boundary value problems for second-order delay differential equations
type: Item
instance of: scholarly article
title: Multiple positive solutions to boundary value problems for second-order delay differential equations
zbMATH Open document ID: 1011.34055
DOI: 10.1016/S0893-9659(02)80009-X
author: Daqing Jiang
published in: Applied Mathematics Letters
publication date: 2002-08-15T00:00:00Z
review text: The authors use fixed-point theorems in cones to study the existence of solutions to boundary value problems for second-order delay differential equations of the form \[ y''((t) + f(t,y(t-\tau))=0,\quad 0<t<1,\quad y(t)=0,\;-\tau \leq t \leq 0,\;y(1) = 0, \] for suitably small \(\tau\). The main result in this work generalizes a result due to \textit{Z. Liu} and \textit{F. Li} [J. Math. Anal. Appl. 203, No.~3, 610-625 (1996; Zbl 0878.34016)] for ordinary differential equations.
Mathematics Subject Classification ID: 34K10
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 47H11
zbMATH DE Number: 1781921
zbMATH Keywords: delay differential equations
zbMATH Keywords: boundary value problem
zbMATH Keywords: existence of multiple positive solutions
zbMATH Keywords: fixed-point index theorem
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1781921