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一类二阶非线性微分方程解的性质
The Properties of Solutions to A Class of Second Order Nonlinear Differential Equations
【摘要】 在一定条件下,研究了一类二阶非线性微分方程解的性质,分析了其解的单调性、振动性以及其解有界的充分必要条件,并讨论了其解在单调有界的条件下当t→+∞时的渐近性质。
【Abstract】 Under the certain conditions, this paper investigates the properties of a class of the second order nonlinear differential equations, analyses the monotonicity and vibratility of the solutions of the equations as well as the boundness of the solutions with sufficient and necessary conditions, and also discusses the asymptotic behavior of the solutions of the equations when t→+∞ is under the conditions of monotone and boundness.
【基金】 国家自然科学基金
- 【文献出处】 西安理工大学学报 ,JOURNAL OF XI’AN UNIVERSITY OF TECHNOLOGY , 编辑部邮箱 ,1998年02期
- 【分类号】O175.29,O175
- 【下载频次】70