2015•Yingyong shuxue yu jisuan shuxue xuebaoRequires access

Some new developments and trends in study of singular perturbation theory

Zhou Mingr

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Abstract

This paper gives a brief introduction to The Series of Singular Perturbation and some trends in the study of singular perturbation theory,which includes geometric singular perturbation,contrast structure theory,singularly perturbed boundary value problem of high order differential equations,nonlinear differential equations and so on.

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What this paper is about

This paper gives a brief introduction to The Series of Singular Perturbation and some trends in the study of singular perturbation theory,which includes geometric singular perturbation,contrast structure theory,singularly perturbed boundary value problem of high order differential equations,nonlinear differential equations and so on.

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Available abstract

This paper gives a brief introduction to The Series of Singular Perturbation and some trends in the study of singular perturbation theory,which includes geometric singular perturbation,contrast structure theory,singularly perturbed boundary value problem of high order differential equations,nonlinear differential equations and so on.

Key concepts: Singular perturbation, Poincaré–Lindstedt method, Mathematics, Singular solution, Boundary value problem, Perturbation (astronomy), Nonlinear system, Mathematical analysis

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