Multi-Point Boundary Value Problems for Nonlinear Fourth-Order Differential Equations with All Order Derivatives

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Abstract

By using fixed point theorem, multiple positive solutions for some fourth-order multi-point boundary value problems with nonlinearity depending on all order derivatives are obtained. The associated Green's functions are also given.

Keywords:

multi-point boundary value problem positive solution cone fixed point.
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Multi-Point Boundary Value Problems for Nonlinear Fourth-Order Differential Equations with All Order Derivatives. (2021). Communications in Mathematical Research, 29(2), 108-120. https://www.global-sci.com/index.php/cmr/article/view/8761