一类二阶广义Emden-Fowler型微分方程的振动性  

Oscillation for a Class of Second-order Generalized Emden-Fowler-type Functional Differential Equations

作　　者：于强[1] YU Qiang(Mathematical Department,Normal School,Eastern Liaoning University,Dandong 118003,China)

机构地区：[1]辽东学院师范学院数学系

出　　处：《数学的实践与认识》2019年第19期321-328,共8页Mathematics in Practice and Theory

基　　金：2018年辽宁省自然科学基金(201802196)

摘　　要：研究了具非线性中立项的一类二阶广义Emden-Fowler型泛函微分方程的振动性,考虑方程是非正则的情形(即∫t0^+∞a^-1/β(t)dt<+∞的情形),利用广义黎卡提变换技术及不等式技巧,获得了方程振动的几个新型的判别准则.We analyze the oscillatory behavior of certain second-order generalized EmdenFowler-type differential equations with a quasilinear neutral term in this article,where investigated equation is in a noncanonical form,i.e.,∫t0^+∞ a^-1/β(t)dt<+∞.By using the generalized Riccati transformation and inequality technique,we establish some new oscillation criterions for the equations.

关 键 词：振动性 Emden-Fowler型微分方程 非线性中立项 黎卡提变换 

分 类 号：O17[理学—数学]