Stability in several measures and a differential inequality for a partial integral equation

DOI10.1016/0362-546X(95)00085-AzbMath0845.45007OpenAlexW2052396301WikidataQ115363510 ScholiaQ115363510MaRDI QIDQ4863541

Furumochi, Tetsuo, Quichang Huang, Theodore Allen Burton

Publication date: 20 August 1996

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

Full work available at URL: https://doi.org/10.1016/0362-546x(95)00085-a

zbMATH Keywords

stabilityboundednessasymptotic stabilityasymptotic behaviourLyapunov functionalspartial integral equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10)

Cites Work

• Stability for impulsive differential systems in terms of two measures
• Stability criteria for impulsive differential equations in terms of two measures
• Perturbing families of Lyapunov functions and stability in terms of two measures
• A stability theory for integral equations
• Stability theory for ordinary differential equations
• On asymptotic stability for nonautonomous differential systems
• Stability of processes with respect to two metrics
• On the asymptotic stability by nondecrescent Ljapunov function
• Resolvent Operators for Integral Equations in a Banach Space
• Uniform Asymptotic Stability in Functional Differential Equations
• On quasi stability for impulsive differential systems
• On the asymptotic stability in terms of two measures for functional differential equations
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