ABSTRACT 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):
where for The interesting point lies in the fact that the nonlinear term is allowed to depend on the first order derivative .
Cite this paper
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