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中立型非线性抛物方程非振动解的渐近性质
Asymptotic Property of the Nonoscillatary Solutions of Nonlinear Parabolic Differential Equations of Neutral Type
【摘要】 研究了一类中立型非线性抛物方程非振动解的渐近性质,利用在一定条件下将方程的强迫项目并入首项(ut项)的方法,得到了在混合边值条件下方程的所有非振动解渐近收敛于零的充分条件。
【Abstract】 Asymptotic property of the nonoscillatary solutions of a class of nonlinear parabolic differential equations of neutral type is discussed. Under the given conditions, the forced term of the parabolic equation is incorporated into its first term (term ut). Sufficient conditions are obtained for asymptotic convergence to Zero of all nonoscillatary solutions of the equations in various boundary conditions.
【关键词】 抛物型方程;
非振动解;
渐近性;
【Key words】 parabolic differential equation; nonoscillatary solution; asymptotic property;
【Key words】 parabolic differential equation; nonoscillatary solution; asymptotic property;
- 【文献出处】 西安公路交通大学学报 ,JOURNAL OF XI’AN HIGHWAY UNIVERSITY , 编辑部邮箱 ,1999年04期
- 【分类号】O175.26
- 【下载频次】15