Asymptotic estimate of solution of one mixed difference-differential equation of oscillations theory

被引：11

作者：

Filimonov, AM

Myshkis, AD ^{[1
]}

机构：

[1] Moscow State Univ Commun, Dept Appl Math 1, Moscow 101475, Russia

[2] Moscow State Univ Commun, Dept Higher Math, Moscow 101475, Russia

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 1998年 / 4卷 / 01期

关键词：

difference-differential equation; asymptotic estimate;

D O I：

10.1080/10236199808808125

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Asymptotic expression of unimprobable estimates of solution of the problem <m(sigma)over bar (j)>(t) = c delta(2)sigma(j)(t) (j = 2, ..., N - 1; 0 less than or equal to t < infinity), sigma(0)(t) = F, sigma(N)(t) = 0(0 less than or equal to t < infinity); sigma(j)(0) = 0, sigma(j)(0) = 0 (j = 1, ..., N - 1) are obtained, if j = sN, s is a fixed dyadic, N --> infinity. Here m, c are positive constants, and delta is a symmetric difference operator with respect to j. This problem defines tension forces in the homogeneous chain of N material particles, jointed in consecutive order with massless springs of linear elasticity.

引用

页码：13 / 16

页数：4