Perturbation Solution of the Weak-Nonlinear Differential Equation with δ-Function

Liu Zheng-rong; Wei Si-rong

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Article Navigation > Applied Mathematics and Mechanics > 1984 > 5(5): 691-697

Liu Zheng-rong, Wei Si-rong. Perturbation Solution of the Weak-Nonlinear Differential Equation with δ-Function[J]. Applied Mathematics and Mechanics, 1984, 5(5): 691-697.

Citation:

Liu Zheng-rong, Wei Si-rong. Perturbation Solution of the Weak-Nonlinear Differential Equation with δ-Function[J]. Applied Mathematics and Mechanics, 1984, 5(5): 691-697.

Citation:

Liu Zheng-rong, Wei Si-rong. Perturbation Solution of the Weak-Nonlinear Differential Equation with δ-Function[J]. Applied Mathematics and Mechanics, 1984, 5(5): 691-697.

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Perturbation Solution of the Weak-Nonlinear Differential Equation with δ-Function

Anhui University, Heifei

Received Date: 1983-01-14
Publish Date: 1984-10-15

Abstract

Abstract

In this paper,starting from some fundamental properties of Heaviside function and δ-function,making use of singular perturbation methods we provide a method of finding the asymptotic analytic solution of equationwhere M(u)=eƒ+λ#948;(t-a) where M is an n-order linear differential operator,ƒ(u) is a polynomial. By means of this method,we discuss some examples concretely. The results can be explained satisfactorily in physics. If we deal with linear problem by this method,the result will agree with that drawn from theorem of impulse.

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References(6)

References

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[6]	Kevorkian,J.and J.D.Cole.Perturbation Methods in Applied Mathematics,Springer-Verlag,New York,Inc.Published,(1981).