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 NameAffiliation
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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