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一类二阶非线性微分方程解的振动性与渐近性
OSCILLATORY AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF CERTAIN SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS
【摘要】 本文研究了二阶非线性微分方程的解的振动性与渐近性.其中σ是一个偶数与奇数的正商.所得的结果是新的,其中之一修正了Wong的结果.
【Abstract】 In this paper, oscillatory and asymptotic behavior of solutions of the second order nonlinear differential equation(a(t)(y’(t))σ)’ + q(t)f(y(t)) = 0, t ≥t0are considered, where σ is a positive quotient of even over odd integers. The results obtained are new and one of them revises wong’s result.
【关键词】 振动;
渐近性;
非线性微分方程;
正商;
【Key words】 Oscillation; Asymptotic behavior; Nonlinear differential equation; Positive quotient;
【Key words】 Oscillation; Asymptotic behavior; Nonlinear differential equation; Positive quotient;
【基金】 华东师范大学研究生基金资助的项目.
- 【文献出处】 数学年刊A辑(中文版) ,Chinese Annals of Mathematics,series A , 编辑部邮箱 ,2002年03期
- 【分类号】O175.2
- 【被引频次】36
- 【下载频次】175