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泛函微分方程稳定性的几个基本定理
SEVERAL FUNDAMENTAL THEOREMS FOR STABILITY OF FUNCTIONAL DIFFERENTIAL EQUATIONS
【摘要】 本文提出了两个函数积分与测度为正,V泛函范数渐小与积分渐小的概念,并给出了满足这些概念的简捷条件,依此建立了中立型泛函微分方程解的渐近性与稳定性的几个基本定理。这些定理统一,改进与推广了一些相关的经典结果。
【Abstract】 This paper proposes concepts of integral (or measurable) positivity of a function on another one and integral (or norm) decrescent property of a V-functional. Simple sufficient conditions for satisfying these concepts are given.Based on the above concepts,we obtain several fundamental theorems for stability and asymptotic property of solutions of neutral functional differential equations.These theorems unify, improve and extend some relevant classical results.
【关键词】 泛函微分方程;
中立型;
稳定性;
渐近性;
【Key words】 Functional differential equations; neutral type; stability; asymptotic property;
【Key words】 Functional differential equations; neutral type; stability; asymptotic property;
【基金】 国家自然科学基金
- 【文献出处】 四川师范大学学报(自然科学版) ,JOURNAL OF SICHUAN NORMAL UNIVERSITY(NATURAL SCIENCE) , 编辑部邮箱 ,1994年04期
- 【分类号】O175.13
- 【被引频次】4
- 【下载频次】91