In this paper, we are concerned with a fourth-order three point boundary value problem. We prove the existence, uniqueness and positivity of solutions by using Leray-Schauder nonlinear alternative, Banach contraction theorem and GuoKrasnosel'skii fixed point theorem.
By using Leray-Schauder nonlinear alternative, Banach contraction theorem and Guo-Krasnosel'skii theorem, we discuss the existence, uniqueness and positivity of solution to the third-order multi-point nonhomogeneous boundary value problem (BVP1):
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