Positive solutions for three-point boundary value problems with dependence on the first order derivative☆

By Yanping Guo, Weigao Ge. 2004

133 citations recorded by the source corpus.

Abstract A new fixed point theorem in a cone is applied to obtain the existence of at least one positive solution for the second order three-point boundary value problem x″+f(t,x,x′)=0, 0 x(0)=0, x(1)=αx(η), where f is a nonnegative continuous function, α>0, η∈(0,1), αη

Subfields: Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/839bf496df570d78d4ecb9962e30efd90b43bfef

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In Applied Mathematics

1. D. Xie
2. Meiqiang Feng

In Numerical Analysis

1. D. Xie
2. Meiqiang Feng

Citations in the corpus

• Multiple positive solutions of multi-point boundary value problem for second-order impulsive differential equations (2009, background): “Since then a lot of attention has been paid to the study of nonlinear multi-point boundary value problems, see [12–17,19–31].”