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非线性中立型微分差分方程非振动解的渐近性
Asymptotic Behavior of Nonocccillatory Solution of Nonlinear Neutral Differential Diffence Equation
【摘要】 考虑非线性中立型微分差分方程[y(t)+P(t)g(y(t-τ)]′+Q(t)h(y(t-σ))=0(1)的非振动解的渐近性.若无特别申明,本文总假设A函数P(t),Q(t),g(u),h(u)皆为连续函数;BQ(t)>0;ug(u)>0,uh(u)>0(u≠0);Cg(u)=h(u)=0当且仅当u=0.
【Abstract】 In this paper,We consider the asymptotic behavior of nonseititeeatory solution of nonlinear,differetial difference equationWithout special statements,We will always assume:A p(t),Q(t),g(u),h(u) are continuous functions;B Q(t)>0; ug(u)>0;uh(u)>0(uo);C g(u)=h(u)=0 iff.u=0.
【关键词】 微分差分方程;
中立型;
非振动解;
渐近性;
【Key words】 Differential Differnence Equation; Neutral Nonoscillatory solution; Asymptotic;
【Key words】 Differential Differnence Equation; Neutral Nonoscillatory solution; Asymptotic;
- 【文献出处】 数学研究 ,JOURNAL OF MATHEMATICAL STUDY , 编辑部邮箱 ,1996年03期
- 【分类号】O175
- 【被引频次】3
- 【下载频次】22