ON HILL'S EQUATION WITH A DISCONTINUOUS COEFFICIENT

IF 1 Q1 MATHEMATICS

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2003-02-17 DOI:10.1155/S016117120320209X

I. Karaca

引用次数: 1

Abstract

We research the asymptotic formula for the lengths of the instability intervals of the Hill's equation with coefficients q ( x ) and r ( x ) , where q ( x ) is piecewise continuous and r ( x ) has a piecewise continuous second derivative in open intervals ( 0 , b ) and ( b , a ) ( 0 b a ) .

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带不连续系数的希尔方程

研究了系数为q (x)和r (x)的Hill’s方程不稳定区间长度的渐近公式，其中q (x)是分段连续的，r (x)在开区间(0,b)和(b, a) (0, b, a)上有分段连续的二阶导数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Mathematics-Mathematics (miscellaneous)

CiteScore

2.30

自引率

8.30%

发文量

审稿时长

17 weeks

期刊介绍： The International Journal of Mathematics and Mathematical Sciences is a refereed math journal devoted to publication of original research articles, research notes, and review articles, with emphasis on contributions to unsolved problems and open questions in mathematics and mathematical sciences. All areas listed on the cover of Mathematical Reviews, such as pure and applied mathematics, mathematical physics, theoretical mechanics, probability and mathematical statistics, and theoretical biology, are included within the scope of the International Journal of Mathematics and Mathematical Sciences.