Inequalities and exponential stability and instability in finite delay Volterra integro-differential equations

DOI10.1007/s12215-012-0092-4zbMath1268.45008OpenAlexW2020161119MaRDI QIDQ1928215

Youssef N. Raffoul, Murat Adivar

Publication date: 2 January 2013

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-012-0092-4

zbMATH Keywords

Lyapunov functionalintegro-differential equationintegral-delay type functional equationVolterra stability

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Stability theory for integral equations (45M10) Volterra integral equations (45D05)

Related Items (5)

New stability and boundedness results to Volterra integro-differential equations with delay ⋮ Inequalities and exponential stability and instability in finite delay Volterra integro-differential equations ⋮ New results on exponential stability of nonlinear Volterra integro-differential equations with constant time-lag ⋮ Uniformly Boundedness in Nonlinear Volterra Integro-Differential Equations with Delay ⋮ Unnamed Item

Cites Work

• Unnamed Item
• On the uniform asymptotic stability for a linear integro-differential equation of Volterra type
• Theory of functional differential equations. 2nd ed
• Periodic solution of a periodic neutral delay equation
• Annulus arguments in the stability theory for functional differential equations
• Inequalities and stability for a linear scalar functional differential equation
• Inequalities and exponential stability and instability in finite delay Volterra integro-differential equations
• Some stability and boundedness criteria for a class of Volterra integro-differential systems

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