Structure of solutions of unstable linear Volterra integrodifferential equations

DOI10.1016/0022-0396(74)90090-4zbMath0297.45005OpenAlexW2065259455MaRDI QIDQ1214087

Richard K. Miller

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1016/0022-0396(74)90090-4

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Asymptotics of solutions to integral equations (45M05) Volterra integral equations (45D05) Qualitative behavior of solutions to integral equations (45M99)

Related Items (10)

Mixed interpolation collocation methods for first and second order Volterra integro-differential equations with periodic solution ⋮ The stability of the solutions of a class of integrodifferential systems with infinite delays ⋮ Stability and unstability of quasilinear systems of integrodifferential equations ⋮ Bounded solutions of perturbed Volterra integrodifferential systems ⋮ Periodic solutions of two species interaction models with lags ⋮ Asymptotic behavior for a linear Volterra integral equation in Hilbert space ⋮ Asymptotic behavior of unbounded solutions of linear Volterra integral equations ⋮ A remark on hyperbolic integrodifferential equations ⋮ Asymptotic expansion of the solution of an integro-differential equation with exact asymptotics of the remainder ⋮ A stability criterion for a linear Volterra equation of convolution type

Cites Work

• Asymptotic stability properties of linear Volterra integrodifferential equations
• Perturbation theory for Volterra integrodifferential systems
• On the asymptotic behavior of the bounded solutions of some integral equations. I, II, III
• Nonlinear Volterra integrodifferential systems with L\(^1\)-kernels
• Notes on the Theory and Application of Fourier Transforms. I-II
• Indirect Abelian Theorems and a Linear Volterra Equation
• On an integral equation with an almost periodic solution
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