Impulsive system of ODEs with general linear boundary conditions [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2013 The paper provides an operator representation for a problem which consists of a system of ordinary differential equations of the first order with impulses at fixed times and with general linear boundary conditions \begin{gather} z'(t) = A(t)z(t) + f(t,z ...
Irena Rachůnková, Jan Tomeček
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Nuclei discovered new practical insights via optimized soliton-like pulse analysis in a space fractional-time beta-derivatives equations [PDF]
Scientific ReportsNerve signal conduction, and particularly in myelinated nerve fibers, is a highly dynamic phenomenon that is affected by various biological and physical factors.
Emmanuel Fendzi-Donfack +10 more
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Oscillation for higher order nonlinear ordinary differential equations with impulses
Electronic Journal of Differential Equations, 2006 In this paper, we study the oscillation of solutions to higher order nonlinear ordinary differential equations with impulses. Several criteria for the oscillations of solutions are given.
Chaolong Zhang, Weizhen Feng
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Linearization of Impulsive Differential Equations with Ordinary Dichotomy [PDF]
Abstract and Applied Analysis, 2014 This paper presents a linearization theorem for the impulsive differential equations when the linear system has ordinary dichotomy. We prove that when the linear impulsive system has ordinary dichotomy, the nonlinear systemx˙(t)=A(t)x(t)+f(t,x),t≠tk,Δx(tk)=A~(tk)x(tk)+f~(tk,x),k∈ℤ, is topologically conjugated tox˙(t)=A(t)x(t),t≠tk,Δx(tk)=A~(tk)x(tk),k ...
Wong, P. J. Y. +3 more
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APPROXIMATION OF POSITIONAL IMPULSE CONTROLS FOR DIFFERENTIAL INCLUSIONS
Ural Mathematical Journal, 2022 Nonlinear control systems presented as differential inclusions with positional impulse controls are investigated. By such a control we mean some abstract operator with the Dirac function concentrated at each time. Such a control ("running impulse"), as a
Ivan A. Finogenko, Alexander N. Sesekin
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Controllability of nonlinear ordinary differential equations with non-instantaneous impulses
Mathematical Modelling and Control, 2022 <abstract><p>In this paper, we consider controllability of the initial value problem with non-instantaneous impulse on ordered Banach spaces. We firstly give a solution expression for initial value problems with non-instantaneous impulses in ordered Banach Spaces by using Schauder fixed point theorem.
Zhen Xin, Yuhe Yang, Qiaoxia Li
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On nonclassical impulsive ordinary differential equations with nonlocal conditions
International Journal of Analysis and Applications, 2019 Summary: Results on mild solutions of nonclassical differential equations with impulsive and nonlocal conditions are extended to a case when the nonlocal conditions are necessarily non Lipschitz and non compact.
Bishop, S.A. +2 more
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On Exact Controllability of First-Order Impulsive Differential Equations
Advances in Difference Equations, 2010 Many dynamical systems have an impulsive dynamical behavior due to abrupt changes at certain instants during the evolution process. The mathematical description of these phenomena leads to impulsive differential equations.
Juan J. Nieto, Christopher C. Tisdell
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Mixed-order impulsive ordinary and fractional differential equations with initial conditions [PDF]
Advances in Difference Equations, 2019 Dans cet article, en utilisant l'idée d'intervalles séparés dans les équations impulsives non instantanées, nous commençons l'étude des problèmes de valeur initiale pour les équations différentielles ordinaires et fractionnaires d'ordre mixte avec des effets impulsifs instantanés.
Suphawat Asawasamrit +3 more
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The remarkable effectiveness of time-dependent damping terms for second order evolution equations [PDF]
, 2015 We consider a second order linear evolution equation with a dissipative term multiplied by a time-dependent coefficient. Our aim is to design the coefficient in such a way that all solutions decay in time as fast as possible.
Ghisi, Marina +2 more
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