Article ID Journal Published Year Pages File Type
4614334 Journal of Mathematical Analysis and Applications 2016 9 Pages PDF
Abstract

In this paper we concentrate on the aspect of the boundary layer phenomenon that represents a typical asymptotic behavior mode of singularly perturbed systems at the endpoints of the considered interval. We provide a detailed analysis of this phenomenon for the nonlinear fourth-order ordinary differential equations subject to the Lidstone boundary conditions by an analysis of the integral equation associated with an original boundary value problem.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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