Approximate method for boundary value problems of anti-periodic type for differential equations with 'maxima'

被引：5

作者：

Hristova, Snezhana ^{[1
]}

Golev, Angel ^{[1
]}

Stefanova, Kremena ^{[1
]}

机构：

[1] Paisij Hilendarski Univ Plovdiv, Fac Math & Informat, Plovdiv 4000, Bulgaria

来源：

BOUNDARY VALUE PROBLEMS | 2013年

关键词：

differential equations with 'maxima'; nonlinear boundary value problem; approximate solution; computer realization; INEQUALITIES INVOLVING MAXIMA; UNKNOWN SCALAR FUNCTIONS; STABILITY; TERMS;

D O I：

10.1186/1687-2770-2013-12

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An algorithm for constructing two sequences of successive approximations of a solution of the nonlinear boundary value problem for a nonlinear differential equation with 'maxima' is given. The case of a boundary condition of anti-periodic type is investigated. This algorithm is based on the monotone iterative technique. Two sequences of successive approximations are constructed. It is proved both sequences are monotonically convergent. Each term of the constructed sequences is a solution of an initial value problem for a linear differential equation with 'maxima' and it is a lower/upper solution of the given problem. A computer realization of the algorithm is suggested and it is illustrated on a particular example. MSC: 34K10, 34K25, 34B15.

引用

页码：1 / 11

页数：11

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