摘要
讨论一维情形非线性方程ｙ″＝ ｆ（ｘ，ｙ，ｙ′） 的无界正整体解存在性及其渐近性态。主要结果是当ｆ 满足一定条件时，方程存在无穷多个正解，并且这些解在｜ ｘ｜ ＝ ∞处是线性增长的。
The existence of positive entire solutions of equations y″=f(x,y,y′) and the asymptotic properties of the solutions are discussed.The main result is that the equation has infinitely many positive solutions when f satisfies some conditions,and further more,these solutions are linearly increasing at ｜x｜=∞.
出处
《西安矿业学院学报》
1999年第4期371-375,共5页
Journal of Xi'an University of Science & Technology
关键词
正整体解
非线性方程
微分方程
多解性
渐近性态
Schauder tychonoff fixed point theorem
entire positive solutions
linear increasing property
