Results 11 to 20 of about 65,278,343 (195)
On Exact Controllability of First-Order Impulsive Differential Equations
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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Eventual stability and eventual boundedness for impulsive differential equations with “supremum”
Eventual stability and eventual boundedness for nonlinear impulsive differential equations with supremums are studied. The impulses take place at fixed moments of time. Piecewise continuous Lyapunov functions have been applied.
Ivanka Stamova
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A family of difference schemes for fourth order parabolic partial differential equations [PDF]
A family of methods is developed for the numerical solution of fourth order parabolic partial differential equations in one- and two-space variables.
Khaliq, AQM, Twizell, EH
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On the existence of periodic solution of some quasilinear differential equations with impulses
As for ordinary differential equations, one of the problems that especially attract the attention of many mathematicians is the problem on the existence of periodic solutions of the differential equation systems with impulses.
Le Luong Tai
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Multiple Periodic Solutions and Fractal Attractors of Differential Equations with n-Valued Impulses
Ordinary differential equations with n-valued impulses are examined via the associated Poincaré translation operators from three perspectives: (i) the lower estimate of the number of periodic solutions on the compact subsets of Euclidean spaces and, in ...
Jan Andres
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Some applications of Laplace transforms in models with impulses or discontinuous forcing functions [PDF]
Commonly, in Ordinary Differential Equations courses, equations with impulses or discontinuous forcing functions are studied. In this context, the Laplace Transform of the Dirac delta function and unit step function is taught, which are used as forcing ...
Diego Miranda Gonçalves +1 more
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Impulsive system of ODEs with general linear boundary conditions
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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In 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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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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Linearized Stability Analysis of Nonlinear Delay Differential Equations with Impulses
This paper explores the linearized stability of nonlinear delay differential equations (DDEs) with impulses. The classical results on the existence of periodic solutions are extended from ordinary differential equations (ODEs) to DDEs with impulses ...
Mostafa Bachar
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