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高阶非线性泛函微分方程解的振动性与渐近性
Oscillatory Asymptotic Behavior of Solution of High Order Nonlinear Functional Differential Equations
【摘要】 讨论了泛函数分方程(a(t)φ(x(n-1)(t))x(n)(t))′+p(t)f(x(t),x(g(t)))=0解的振动性,得到该方程振动解和非振动解渐近性的充分条件。
【Abstract】 In this paper, oscillatory behavior of solutions are discussed to equations of the form (a(t)φ(x (n-1) (t))x (n) (t))′+p(t)f(x(t),x(g(t)))=0, sufficient conditions are obtained for oscillatory solutions and asymptotic property of nonoscillatory solutions to the equations.
【关键词】 振动性;
非振动解;
渐近性;
【Key words】 oscillatory solution; nonoscillatory solution; asymptotic property;
【Key words】 oscillatory solution; nonoscillatory solution; asymptotic property;
【基金】 国家自然科学基金,西安公路交通大学校青年基金
- 【文献出处】 西安公路交通大学学报 ,JOURNAL OF XI’AN HIGHWAY UNIVERSITY , 编辑部邮箱 ,1998年03期
- 【分类号】O175.13
- 【下载频次】24