Extrapolation methods for first order ordinary differential equations [PDF]
, 1980 Given a system of fist order differential equations, whose coefficient matrix has constant elements, with initial conditions specified, a family of extrapolating algorithms based on Pade approximants to the exponential function is developped.
Twizell, E H
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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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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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A BLOCK-BY-BLOCK METHOD FOR THE IMPULSIVE FRACTIONAL ORDINARY DIFFERENTIAL EQUATIONS
Journal of Applied Analysis & Computation, 2020 Summary: In this paper, a block-by-block numerical method is constructed for the impulsive fractional ordinary differential equations (IFODEs). Firstly, the stability and convergence analysis of the scheme are established. Secondly, the numerical solution which converges to the exact solution with order \(3+\gamma\) for \(0 < \gamma < 1\), where ...
Cao, Junying +2 more
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Eventual stability and eventual boundedness for impulsive differential equations with “supremum”
Mathematical Modelling and Analysis, 2011 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]
, 1983 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
Vietnam Journal of Mechanics, 2004 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
Mathematics, 2020 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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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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Some applications of Laplace transforms in models with impulses or discontinuous forcing functions [PDF]
Revista Brasileira de Ensino de FísicaCommonly, 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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