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二阶泛函微分方程无界非振动解的存在性

Existence of Unbounded Nonoscillatory Solutions for Second Order Functional Differential Equations
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摘要 获得了一类非线性二阶泛函微分方程无界非振动解存在的充分条件 .作为特例 ,包含了文 [5 ]中结论 . Suffcient conditions for the existence of an unbounded nonoscillatory solution of second order nonlinear functional differential equations are found. Our results, as a special case, include the corresponding theorems given in [5].
出处 《长沙铁道学院学报》 EI CSCD 2000年第3期102-105,共4页 Journal of Changsha Railway University
基金 国家自然科学基金 !(198710 0 6 ) 湖南省自然科学基金!(98JJY2 0 49)资助项目
关键词 振动 无界解 不动点原理 oscillation unbounded solution fixed point theorem
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参考文献5

  • 1[1]Grace S,Lalli B S.Integral averaging techniques for the oscillation of second order nonlinear differential equations[J].J Math Anal Appl,1990(149):277-331.
  • 2[2]Naito M.Asymptotic behavior of solutions of second order differential equations with integrable coefficients[J].Trans Amer Math Soc,1984(282):577-588.
  • 3[3]Ladde G S,Lakshmikantham V,Zhang B G.Oscillation Theory of Differential Equations with Deviating Arguments [M].New York:Marcel Dekker,1987.
  • 4[4]郑祖麻.泛函微分方程理论[M].合肥:安徽教育出版社,1994.
  • 5[5]Lin S,Wang H,Yu Y.On the existence of nonoscillatory solutions for second order functional differential equations[J].Soochow J of Math,1996(22):417-426.

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