Peano Theorems for Pedjeu–Ladde-Type Multi-Time Scale Stochastic Differential Equations Driven by Fractional Noises [PDF]
MathematicsThis paper examines fractional multi-time scale stochastic functional differential equations that, in addition, are driven by fractional noises. Based on a specially crafted fixed-point principle for the so-called “local operators”, we prove a Peano-type
Arcady Ponosov, Lev Idels
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Some applications of Laplace transforms in models with impulses or discontinuous forcing functions [PDF]
Revista Brasileira de Ensino de Física, 2023 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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Antiperiodic Boundary Value Problems for Second-Order Impulsive Ordinary Differential Equations [PDF]
Boundary Value Problems, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chuanzhi Bai, Bai Chuanzhi
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Bulletin des Sciences Mathématiques, 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 ...
Afonso, S.M. +3 more
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Uniformly finally bounded solutions to systems of differential equations with variable structure and impulses [PDF]
Electronic Journal of Differential Equations, 2014 We study nonlinear non-autonomous systems of ordinary differential equations with variable structure and impulses. The consecutive changes on right-hand sides of this system and the impulsive effects on the solution of the corresponding initial ...
Katya G. Dishlieva, Angel B. Dishliev
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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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Generalized ordinary differenatial equations; systems with impulses at surfaces. I [PDF]
Czechoslovak Mathematical Journal, 1970 Schwabik, Štefan
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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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Non-Instantaneous Impulses in Differential Equations [electronic resource] / [PDF]
, 2017 This monograph is the first published book devoted to the theory of differential equations with non-instantaneous impulses. It aims to equip the reader with mathematical models and theory behind real life processes in physics, biology, population ...
Hristova, Snezhana.author.authttp://id.loc.gov/vocabulary/relators/aut +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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