Abstract
We consider a third-order three-point boundary value problem. We introduce a generalized polynomial growth condition to obtain the existence of a nontrivial solution by using Leray-Schauder nonlinear alternative, then we give an example to illustrate our results.
Highlights
In this work, we study the existence of nontrivial solution for the following third-order three point boundary value problem BVP :u t f t, u t 0, 0 < t < 1, 1.1 u 0 αu 0, u 1 βu η, u 1 0, 1.2 where η ∈ 0, 1, α, β ∈ R, f ∈ C 0, 1 × R, R
We introduce a generalized polynomial growth condition to obtain the existence of a nontrivial solution by using Leray-Schauder nonlinear alternative, we give an example to illustrate our results
We study the existence of nontrivial solution for the following third-order three point boundary value problem BVP : u t f t, u t 0, 0 < t < 1, 1.1 u 0 αu 0, u 1 βu η, u 1 0, 1.2 where η ∈ 0, 1, α, β ∈ R, f ∈ C 0, 1 × R, R
Summary
We consider a third-order three-point boundary value problem. We introduce a generalized polynomial growth condition to obtain the existence of a nontrivial solution by using Leray-Schauder nonlinear alternative, we give an example to illustrate our results
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