On the solvability of asymptotically positively homogeneous equations with Sturm-Liouville boundary value conditions

被引：7

作者：

Dong, YJ ^{[1
]}

机构：

[1] Nanjing Normal Univ, Dept Math, Nanjing 210071, Jiangsu, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2000年 / 42卷 / 08期

关键词：

asymptotically positively homogeneous equations; generalized resonant point;

D O I：

10.1016/S0362-546X(99)00150-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of the solutions to the boundary value problem, x″ + f(t,x) = 0, x(0) = 0 = x. First the functions that make up this problem are classified. The nontrivial solution to this problem is given. Finally, an existence theory of the problem is derived based on the results.

引用

页码：1351 / 1363

页数：13

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