A MAXIMUM PRINCIPLE FOR 2ND-ORDER NONLINEAR DIFFERENTIAL-INEQUALITIES AND ITS APPLICATIONS

被引：6

作者：

WONG, FH

YEH, CC

YU, SL

机构：

[1] NATL CENT UNIV,DEPT MATH,CHUNGLI 32054,TAIWAN

[2] ST JOHNS & ST MARYS INST TECHNOL,TAIPEI,TAIWAN

来源：

APPLIED MATHEMATICS LETTERS | 1995年 / 8卷 / 04期

关键词：

ZERO; 2ND-ORDER; NONLINEAR DIFFERENTIAL INEQUALITY; MAXIMUM PRINCIPLE; LEVIN COMPARISON THEOREM;

D O I：

10.1016/0893-9659(95)00055-U

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let y(t) be a nontrivial solution of the second order differential inequality y(t){(r(t)y'(t))' + f(t,y(t))} less than or equal to 0. We show that the zeros of y(t) are simple; y(t) and y'(t) have at most finite number of zeros on any compact interval [a,b] under suitable conditions on r and f. Using the main result, we establish some nonlinear maximum principles and a nonlinear Levin's comparison theorem, which extend some results of Protter, Weinberger, and Levin.

引用

页码：91 / 96

页数：6

共 9 条

[1]

Agarwal RP, 1993, UNIQUENESS NONUNIQUE

[2]

Protter MH., 1984, MAXIMUM PRINCIPLES D, DOI 10.1007/978-1-4612-5282-5

[3] GENERALIZED MAXIMUM PRINCIPLE FOR HIGHER-ORDER ORDINARY DIFFERENTIAL-EQUATIONS [J].