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• W1560084582 abstract "Publisher Summary This chapter discusses the asymptotic stability and perturbations for linear Volterra integro-differential system. It presents the study of stability properties of the zero solution of Volterra equations of the form, where t ≥ τ, and where x(t) has initial values x(t) = f(t) and 0 ≤ t ≤ τ. Here, τ ≥ 0 is a given constant, f is a given continuous function, A and B(t) are square matrices and hτ is a small functional. If τ = 0, then the function f reduces to an initial. If hτ = 0 and F = 0, then the equation reduces to a homogenous linear problem (L). The differential resolvent R(t) associated with the pair (A,B(t)) is the solution of the matrix equation. The trivial solution y = 0 of homogenous linear equation is called (1) uniformly stable if given any ∈ > 0 there exists δ > 0 depending only on ∈; (2) uniformly asymptotically stable if it is uniformly stable and if there exists K > 0." @default.
• W1560084582 created "2016-06-24" @default.
• W1560084582 creator A5028144520 @default.
• W1560084582 date "1972-01-01" @default.
• W1560084582 modified "2023-09-27" @default.
• W1560084582 title "ASYMPTOTIC STABILITY AND PERTURBATIONS FOR LINEAR VOLTERRA INTEGRODIFFERENTIAL SYSTEMS" @default.
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• W1560084582 doi "https://doi.org/10.1016/b978-0-12-627250-5.50015-0" @default.
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