The behavior of solutions to linear integro-differential equations with unbounded delay

DOI10.1016/S0898-1221(99)00181-9zbMath0939.45005MaRDI QIDQ1963091

I.-G. E. Kordonis, Ch. G. Philos

Publication date: 20 January 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic stabilitylinear integro-differential equation with unbounded delay

Mathematics Subject Classification ID

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

Related Items (15)

Stability properties of second order delay integro-differential equations ⋮ A new view on one problem of asymptotic behavior of solutions of delay difference equations ⋮ On the asymptotical normality of statistical solutions for wave equations coupled to a particle ⋮ The behavior of solutions of second order delay differential equations ⋮ On the stability and behavior of solutions in mixed differential equations with delays and advances ⋮ Stability and robust stability of non-autonomous linear differential equations with infinite delay ⋮ Mean square exponential and non-exponential asymptotic stability of impulsive stochastic Volterra equations ⋮ On the non-exponential convergence of asymptotically stable solutions of linear scalar Volterra integro-differential equations ⋮ GLOBAL EXPONENTIAL STABILITY FOR A CLASS OF IMPULSIVE INTEGRO-DIFFERENTIAL EQUATION ⋮ Exponential stability of nonlinear impulsive neutral integro-differential equations ⋮ The behavior of solutions of linear Volterra difference equations with infinite delay ⋮ Global exponential stability of impulsive integro-differential equation ⋮ On linear Volterra difference equations with infinite delay ⋮ On the behavior of the solutions to periodic linear delay differential and difference equations ⋮ On non-autonomous linear difference equations with continuous variable

Cites Work

• Stability and periodic solutions of ordinary and functional differential equations
• Oscillations of integro-differential equations
• Positive solutions of integro-differential equations with unbounded delay
• Stability, instability, oscillation and nonoscillation in scalar integrodifferential systems
• On the existence of positive solutions of integrodifferential equations
• Equations with unbounded delay: a survey
• [https://portal.mardi4nfdi.de/wiki/Publication:4043435 The Equation x � (t) = ax (t) + bx (t - τ) with "Small" Delay]
• SOME HARMLESS DELAYS
• Almost-periodic behavior of solutions of a nonlinear Volterra system.
• Volterra integral and differential equations
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