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A New Theorem of Existence of Solutions to Nonlinear Three-Point Boundary Value Problem
Received:June 10, 2003
Key Words
:
nonlinear three-point boundary value problem
existence
fixed point.
Fund Project
:
the Natural Science Foundation of Gansu Province of China
Author Name
Affiliation
SUN Jian-ping
Dept. of Appl. Math.
Lanzhou University of Technology
Gansu
China
ZHAO Ya-hong
Dept. of Appl. Math.
Lanzhou University of Technology
Gansu
China
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Abstract
:
A new theorem of existence of solutions for the nonlinear three-point boundary value problem u″(t)+a(t)u′(t)+b(t)u(t)+h(t)f(u)=0,t∈(0,1) ; u(0)=0,u(1)=αu(η) is obtained by using a fixed point theorem due to Krasnoselskii and Zabreiko.
Citation:
DOI
:
10.3770/j.issn:1000-341X.2005.04.003
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