A simple stability criterion for a linear system of neutral integro-differential equations

DOI10.1017/S0305004100067141zbMath0632.45001MaRDI QIDQ3769396

Kondalsamy Gopalsamy

Publication date: 1987

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

asymptotic stabilityLyapunov functionalssystemneutral integro-delay-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10)

Related Items (2)

Exponential stability criteria for linear neutral systems with applications to neural networks of neutral type ⋮ Qualitative analysis of integro-differential equations with variable retardation

Cites Work

• Theory of equations of neutral type
• Linear autonomous neutral functional differential equations
• Theory of functional differential equations. 2nd ed
• On a nonlinear delay equation
• Stability of solutions of nonlinear equations of the neutral type in the asymptotically critical case
• On the asymptotic behavior of solutions of differential-difference equations of neutral type
• An example of an unstable neutral differential equation
• Stability of neutral-type functional differential equations

This page was built for publication: A simple stability criterion for a linear system of neutral integro-differential equations