Numerical Algorithm for the Third-Order Partial Differential Equation with Three-Point Boundary Value Problem

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On a Third-Order Three-Point Boundary Value Problem

where η ∈ 0, 1 , α, β ∈ R, f ∈ C 0, 1 × R,R . The parameters α and β are arbitrary in R such that 1 2α 2βη − 2β / 0. Our aim is to give new conditions on the nonlinearity of f , then using Leray-Schauder nonlinear alternative, we establish the existence of nontrivial solution. We only assume that f t, 0 / 0 and a generalized polynomial growth condition, that is, there exist two nonnegative func...

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ژورنال

عنوان ژورنال: Abstract and Applied Analysis

سال: 2014

ISSN: 1085-3375,1687-0409

DOI: 10.1155/2014/630671