n阶非线性泛函微分不等式的强振动性质  

STRONG OSCILLATION PROPERTIES OF NTH ORDER NONLINEAR FUNCTIONAL DIFFERENTIAL INEQUALITY

作　　者：燕居让[1] 

机构地区：[1]山西大学

出　　处：《高校应用数学学报（A辑）》1989年第1期45-50,共6页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：山西省自然科学基金资助课题

摘　　要：本文考虑了非线性泛函微分不等式x(t)[x^(n)(t)+p(t)f(x(t),x(g(t)))+r(t)]≤0的振动性,其中n为偶数。给出了相应不等式x(t)[x^(n)(t)+λp(t)f(x(t),x(g(t)))+r(t)]≤0,λ>0,的所有解是振动的充分条件。本文的结果改进和推广了已知的一些结果。Strong oscillation properties of the functional differential inqualityx(t)[x(n)(t)+p(t)f(x(t),x(g(t)))+γ(t)]≤0,where n is even, are considered, some sufficient conditions are given which ensure that all solutions of the related functional differencial inqualityare oscillatory. Our results improve and generalize some known results.

关 键 词：泛函 微分不等式 非线性 强振动性 

分 类 号：O177.91[理学—数学]