Stability analysis of nonlinear functional differential and functional equations

Yu YX; Li SF

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Stability analysis of nonlinear functional differential and functional equations

机译：非线性泛函微分方程和泛函方程的稳定性分析

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摘要

Sufficient conditions for the stability and asymptotic stability of the theoretical solutions to nonlinear systems of functional differential and functional equations are derived.

机译：推导了泛函微分方程和泛函方程非线性系统理论解的稳定性和渐近稳定性的充分条件。

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来源
《Applied mathematics letters》 |2009年第5期|共5页
作者
Yu YX; Li SF;
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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Functional differential and functional equations; Nonlinear systems; Theoretical solution; Stability; Asymptotic stability;

机译：泛函微分与泛函方程;非线性系统;理论解;稳定性;渐近稳定性;

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3. Stability analysis of nonlinear functional differential and functional equations [J] . Yu YX, Li SF Applied mathematics letters . 2009,第5期

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4. Semi-Definite Lyapunov Functionals in the Stability Problem of Volterra Integral-Differential Equations [C] . Aleksandr S. Andreev, Olga A. Peregudova IFAC Workshop on Time Delay Systems . 2020

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5. NONLINEAR FUNCTIONAL ANALYSIS AND DIFFERENTIAL EQUATIONS. [D] . SINGKOFER, KAREN ANN. 1979

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6. Colloquium PaperNonlinear partial differential equations and applications: Non-Lipschitz minimizers of smooth uniformly convex functionals [O] . Vladimír Sverák, Xiaodong Yan 2007

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7. Stability analysis of one-leg methods for nonlinear functional differential and functional equations [O] . Yu Yuexin, Wen Liping 2010

机译：非线性泛函微分和泛函方程的单腿法稳定性分析

Stability analysis of nonlinear functional differential and functional equations

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