Existence of Solutions of Nonlinear Mixed Two‐Point Boundary Value Problems for Third‐Order Nonlinear Differential Equation

Yongxin Gao and Fengqin Wang

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: The authors use the upper and lower solution method to study the existence of solutions of nonlinear mixed two‐point boundary value problems for third‐order nonlinear differential equation y′′′ = f(x, y, y′, y′′), y′(b) = h(y′(a)), p(y(a), y(b), y′(a), y′(b)) = 0, g(y(a), y(b), y′(a), y′(b), y′′(a), y′′(b)) = 0. Some new existence results are obtained by developing the upper and lower solution method. Some applications are also presented.

Date: 2012
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https://doi.org/10.1155/2012/262139

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:262139

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