Existence, Multiplicity of Positive Solutions for Four-point Boundary Value Problem with Dependence on the First Order Derivative
نویسندگان
چکیده
The paper consider positive solutions for second-order four-point boundary value problem u′′(t) + f(t, u, u′) = 0, t ∈ (0, 1) u(0) = αu(η), u(1) = βu(ξ) where the first order derivative is involved in the nonlinear term explicitly. By using Krasnoselskii fixed point theorem and triple fixed point theorem, we show the existence, multiplicity of positive solutions for the problem. Some examples are given to illustrate the main results of the article.
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