Webb1 feb. 2014 · In this paper, we use collocation methods to investigate the following impulsive differential equation: (1.1) y ′ ( t) = a ( t) y ( t), t ≠ τ k, t ∈ I ≔ [ 0, T], y = B k y, t = τ k, k = 0, 1, …, y ( 0 +) = y 0, where a: I → R is a given function and sufficient smooth, y = y ( t +) - y ( t), y ( t +) is the right limit of y ( t), 0 = τ - 1 < τ … Webb1 feb. 2010 · DOI: 10.1016/J.NONRWA.2008.10.016 Corpus ID: 120612779; Variational approach to impulsive differential equations with periodic boundary conditions …
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WebbSome of these changes begin impulsively and are not negligible. For changes such as these, mathematical models called non-instantaneous differential equations are created. These models give rise to a new, hybrid dynamical system that can be used for many different purposes. WebbDifferential Equations with Impulse Effects Multivalued Right-hand Sides with Discontinuities . Significant interest in the investigation of systems with discontinuous trajectories is explained by the development of equipment in which significant role is played by impulsive control systems and impulsive computing systems. targus qvk
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WebbIn this paper, we investigate the existence and Ulam–Hyers–Rassias stability results for a class of boundary value problems for implicit ψ-Caputo fractional differential equations with non-instantaneous impulses involving both retarded and advanced arguments.The results are based on the Banach contraction principle and Krasnoselskii’s fixed point … Webb4 feb. 1994 · Theory of Impulsive Differential Equations V. Lakshmikantham, D. Bainov, P. Simeonov Biology Series in Modern Applied Mathematics 1989 TLDR Impulsive differential equations, that is, differential equations involving impulse effects, appear as a natural description of observed evolution phenomena of several real world problems. 4,190 Webb7 rader · Theory of Impulsive Differential Equations Volume 6 of Series in modern applied mathematics: ... targus samsung s6 lite keyboard