Results 1 to 10 of about 774 (250)
Oscillations of Second-Order Nonlinear Ordinary Differential Equations with Impulses
Journal of Mathematical Analysis and Applications, 1999 Here, the second-order nonlinear differential equation with impulses of the form \[ \begin{aligned} &[r(t)x'(t)]'+f(t,x(t))=0,\quad t\geq t_0,\;t\neq t_k,\;k=1,2,\dots ,\\ &x(t_k^{+})=g_k(x(t_k)),\;x'(t_k^{+})=h_k(x'(t_k)),\;\;k=1,2,\dots ,\\ &x(t_0^{+})=x_0,\;\;x'(t_0^{+})=x'_0, \end{aligned} \] with \(0\leq ...
Luo, Jiaowan, Debnath, Lokenath
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AxiomsIn this paper, a class of nonlinear ordinary differential equations with impulses at variable times is considered. The existence and uniqueness of the solution are given.
Huifu Xia, Yunfei Peng, Peng Zhang
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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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International Journal of Differential Equations, 2019 In this work, we consider an initial value problem of a nonhomogeneous retarded functional equation coupled with the impulsive term. The fundamental matrix theorem is employed to derive the integral equivalent of the equation which is Lebesgue integrable.
D. K. Igobi, U. Abasiekwere
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On Exact Controllability of First-Order Impulsive Differential Equations [PDF]
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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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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Bulletin Des Sciences Mathematiques, 2013 Abstract We consider a class of functional differential equations with variable impulses and we establish new stability results. We discuss the variational stability and variational asymptotic stability of the zero solution of a class of generalized ordinary differential equations where our impulsive functional differential equations can be embedded ...
S M Afonso, E M Bonotto, M Federson
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A Survey on Oscillation of Impulsive Ordinary Differential Equations [PDF]
Advances in Difference Equations, 2010 The authors make a fundamental survey on oscillation of first- and second-order of linear, half-linear, super-half-linear and nonlinear impulse differential equations. The Sturmian theory for second-order linear impulse equations is discussed, too.
Agarwal, Ravi P. +2 more
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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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