A new approach to the stability theory of functional differential systems

DOI10.1016/0022-247X(83)90110-5zbMath0578.34050OpenAlexW2086076617MaRDI QIDQ5902936

G. R. Shendge

Publication date: 1983

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(83)90110-5

zbMATH Keywords

estimatesLyapunov functionsdelay differential equationsdifferential inequalitiesfunctional differential equationstability theoryminimal classtotal derivative of a Lyapunov function

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20)

Related Items (3)

Stability and boundedness in functional differential equations ⋮ Variational Lyapunov method and stability analysis for impulsive delay differential equations ⋮ \((h_ 0,h,M_ 0)\)-stability for integro-differential equations

Cites Work

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• Variation of constants, vector Lyapunov functions, and comparison theorem
• A technique in perturbation theory
• A new approach to the method of nonlinear variation of parameters
• A variation of constants formula and Bellman-Gronwall-Reid inequalities
• Variational Comparison Theorem and Perturbations of Nonlinear Systems

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