Asymptotic stability of a class of integrodifferential systems

DOI10.1016/S0022-0396(79)80006-6zbMath0386.45010OpenAlexW2030514977MaRDI QIDQ1249717

G. S. Jordan

Publication date: 1979

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-0396(79)80006-6

zbMATH Keywords

ASYMPTOTIC STABILITYSTABILITY AND INSTABILITY CRITERIASYSTEM OF VOLTERRA INTEGRO-ORDINARY DIFFERENTIAL EQUATIONS

Mathematics Subject Classification ID

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

Related Items (9)

Rate of decay of solutions of Volterra equations ⋮ Stability properties and integrability of the resolvent of linear Volterra equations ⋮ A remark on the stability and boundedness criteria in retarded Volterra integro-differential equations ⋮ Stability for functional differential equations and some variational problems ⋮ Stability Criteria for Volterra Equations ⋮ New results on exponential stability of nonlinear Volterra integro-differential equations with constant time-lag ⋮ Global asymptotic stability of non-negative steady states in model ecosystems II. Integro-differential equations ⋮ On the use of reducible-functional differential equations in biological models ⋮ Stability by decompositions for Volterra equations

Cites Work

• Asymptotic stability of a class of integro-differential equations
• Asymptotic stability properties of linear Volterra integrodifferential equations
• Nonlinear Volterra integrodifferential systems with L\(^1\)-kernels
• Limits for the characteristic roots of a matrix. II

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