Boundary layer analysis for nonlinear singularly perturbed differential equations | Zendy

Róbert Vrábeľ | Zendy; Vladimír Liška | Zendy; I. Mankova | Zendy

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Boundary layer analysis for nonlinear singularly perturbed differential equations

Author(s) -

Róbert Vrábeľ,

Vladimír Liška,

I. Mankova

Publication year - 2011

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2011.1.32

Subject(s) - mathematics , nonlinear system , boundary layer , mathematical analysis , layer (electronics) , differential equation , method of matched asymptotic expansions , boundary (topology) , mechanics , physics , materials science , composite material , quantum mechanics

This paper focuses on the boundary layer phenomenon arising in the study of singularly perturbed differential equations. Our tools include the method of lower and upper solutions combined with analysis of the integral equation associated with the class of nonlinear equations under consideration.

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