The persistence of nonoscillatory solutions of delay differential equations under impulsive perturbations
نویسندگان
چکیده
منابع مشابه
Necessary and Sufficient Conditions for Nonoscillatory Solutions of Impulsive Delay Differential Equations
Monotonicity of solutions is an important property in the investigation of oscillatory behaviors of differential equations. A number of papers provide some existence criteria for eventually positive increasing solutions. However, relatively little attention is paid to eventually positive solutions that are also eventually decreasing solutions. For this reason, we establish several new and sharp...
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The belonging of solutions to a certain function space is a characteristic property for studying the asymptotic behavior of solutions of differential equations. Many works are concerned with the connection between the properties of solutions and stability. We name here the monographs [1-3] on ordinary differential equations and the works [4-9] on functional differential equations. For different...
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The paper is concerned with stabilization of a scalar delay differention equation ẋ(t)− m ∑ k=1 Ak(t)x[hk(t)] = 0, t ≥ 0, x(ξ) = φ(ξ), ξ < 0, by introducing impulses in certain moments of time x(τj) = Bjx(τj − 0), j = 1, 2, . . . . Explicit stability results are presented both for the equation with positive coefficients and for the equation with Ak being of arbitrary sign. Supported by Israel M...
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and Applied Analysis 3 Note that V(t∗) = Q(t∗) + C 2 ‖Φ‖ τ e ∫ t ∗
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1994
ISSN: 0898-1221
DOI: 10.1016/0898-1221(94)90061-2