2013•Journal of Anhui Normal UniversityRequires access

The Shock Solutions for a Class of Singularly Perturbed Time Delay Boundary Value Problems

Mo Jia-Qi

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Abstract

The shock solutions for the quasilinear singularly perturbed problems with time delay parameter are considered.Under suitable conditions,using the match methods and the theory of differential inequalities the existence and asymptotic behavior of the shock solution for the original boundary value problems are constructed and studied.

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The shock solutions for the quasilinear singularly perturbed problems with time delay parameter are considered.Under suitable conditions,using the match methods and the theory of differential inequalities the existence and asymptotic behavior of the shock solution for the original boundary value problems are constructed and studied.

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Available abstract

The shock solutions for the quasilinear singularly perturbed problems with time delay parameter are considered.Under suitable conditions,using the match methods and the theory of differential inequalities the existence and asymptotic behavior of the shock solution for the original boundary value problems are constructed and studied.

Key concepts: Shock (circulatory), Class (philosophy), Boundary value problem, Method of matched asymptotic expansions, Mathematics, Boundary (topology), Boundary values, Value (mathematics)

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