Positive solutions of the three-point boundary value problem for second order differential equations with an advanced argument

In this paper, by using the fixed point index method, we establish the existence of at least one or at least two positive solutions to the three-point boundary value problem for a second order differential equation with an advanced argument u ″ ( t ) + a ( t ) f ( u ( h ( t ) ) ) = 0 , t ∈ ( 0 , 1 )...

Full description

Saved in:
Bibliographic Details
Published in:Nonlinear analysis 2006-11, Vol.65 (10), p.2013-2023
Main Authors: Yang, Chen, Zhai, Chengbo, Yan, Jurang
Format: Article
Language:English
Subjects:
Cone
Exact sciences and technology
Fixed point index
Global analysis, analysis on manifolds
Mathematical analysis
Mathematics
Ordinary differential equations
Positive solution
Sciences and techniques of general use
Three-point boundary value problem
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, by using the fixed point index method, we establish the existence of at least one or at least two positive solutions to the three-point boundary value problem for a second order differential equation with an advanced argument u ″ ( t ) + a ( t ) f ( u ( h ( t ) ) ) = 0 , t ∈ ( 0 , 1 ) , u ( 0 ) = 0 , α u ( η ) = u ( 1 ) , where η ∈ ( 0 , 1 ) , α > 0 , and 1 − α η > 0 . As an application, we also give an example to demonstrate our result.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2005.11.003