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2005•Journal of Jilin UniversityRequires access

Asymptotic Behavior of Singular Perturbed Solution of Robin Problems for a Class of Strongly Nonlinear Equations

Tang Rong-rong

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Abstract

By means of the theory of singularly perturbation, Robin problems of a class of strongly nonlinear equations are considered. The infection of the boundary condition on the asymptotic behavior of the solution of the problem is studied. Under suitable conditions and according to the different regions of the boundary values, the asymptotic expansions of the solution are obtained simply and conveniently. This paper provides a valid method to obtain asymptotic solution for a class of nonlinear problems.

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What this paper is about

By means of the theory of singularly perturbation, Robin problems of a class of strongly nonlinear equations are considered. The infection of the boundary condition on the asymptotic behavior of the solution of the problem is studied. Under suitable conditions and according to the different regions of the boundary values, the asymptotic expansions of the solution are obtained simply and conveniently. This paper provides a valid method to obtain asymptotic solution for a class of nonlinear problems.

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Available abstract

By means of the theory of singularly perturbation, Robin problems of a class of strongly nonlinear equations are considered. The infection of the boundary condition on the asymptotic behavior of the solution of the problem is studied. Under suitable conditions and according to the different regions of the boundary values, the asymptotic expansions of the solution are obtained simply and conveniently. This paper provides a valid method to obtain asymptotic solution for a class of nonlinear problems.

Key concepts: Singular perturbation, Method of matched asymptotic expansions, Nonlinear system, Mathematics, Class (philosophy), Asymptotology, Mathematical analysis, Boundary value problem

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