Liapunov-Razumikhin pairs and the location of positive limit sets for precompact functional differential equations with infinite delay

DOI10.1016/0362-546X(92)90084-RzbMath0779.34060MaRDI QIDQ4032229

William E. Hornor

Publication date: 1 April 1993

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

stabilityfunctional-differential equationsintegrodifferential equationslimiting equationLyapunov's function methodinfinite delay systems

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Stability theory of functional-differential equations (34K20)

Related Items (2)

Stability in systems with unbounded aftereffect ⋮ The method of Lyapunov-Razumikhin functions in stability analysis of systems with delay

Cites Work

• Perturbation theorems for functional differential equations with infinite delay via limiting equations
• Some considerations to the fundamental theory of infinite delay equations
• On the location of positive limit sets for autonomous functional differential equations with infinite delay
• Invariance principles and asymptotic constancy of solutions of precompact functional differential equations
• Uniformly asymptotic stability and total stability
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