摘要
基于分析技巧,讨论一类低阶非线性微分方程的可积性问题.将获的新结果应用于第一类Abel方程和Riccati方程,得到系统可积的一系列充分条件,推广了已有的相关结果.
Based on the variation of constants, integrability for a kind of nonlinear differential equations is discussed. Moreover, the obtained results are applied to Abel equation and Riccati equation. A series of sufficient condition of integrability for Abel equation and Riccati equation are obtained. Therefore, the limits ofintegrability on two kinds of nonlinear differential equation are extended. Some known results are generalized. ）
出处
《玉林师范学院学报》
2014年第2期23-27,共5页
Journal of Yulin Normal University
基金
国家自然科学基金资助(11161051)
