Browsing by Author "XX676984"
Now showing items 1-19 of 19
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A Grobman-Hartman theorem for differential equations with piecewise constant arguments of mixed type (European Mathematical SOC, 2018)We obtain sufficient conditions for the existence of a uniformly and Holder continuous homeomorphism between the solutions of a linear differential system with piecewise constant argument of generalized type and the solutions ...
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(University Szeged, 2015)This article deals with the asymptotic behavior of nonoscillatory solutions of fourth order linear differential equation where the coefficients are perturbations of constants. We define a change of variable and deduce that ...
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(Springer, 2015)In this note, we obtain some necessary and sufficient conditions for the controllability and observability in a linear time-varying control system with piecewise constant state variables. The controllability results can ...
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(Elsevier, 2013)A linear ODE system with bounded continuous coefficients is studied. Provided that the diagonal terms are ‘‘separated’’ and the off-diagonal terms satisfy a smallness threshold, we present some sufficient conditions for ...
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(Academic Press, 2017)In this paper, ordinary and exponential dichotomies are defined in differential equations with equations with piecewise constant argument of general type. We prove the asymptotic equivalence between the bounded solutions ...
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(ELSEVIER, 2010)Using Krasnoselskii's fixed point theorem, functional analysis methods and dichotomy theory, we study the existence and uniqueness of the periodic solutions of integrodifferential equations with bounded and unbounded delays.
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(Taylor & Francis, 2020)We present a type of arithmetic called Proportional Arithmetic. The main properties and objects that emerge with this way of operating quantities are exposed. Finally, the antiderivative and the indefinite integral are ...
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(ELSEVIER SCIENCE INC, 2010-12-15)The existence and global exponential stability of an almost periodic solution of an impulsive neural network model with distributed delays is considered in a matrix setting. The approach transforms the original network ...
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(Cambridge University Press, 2020)We are revisiting the topic of travelling fronts for the food-limited (FL) model with spatio-temporal nonlocal reaction. These solutions are crucial for understanding the whole model dynamics. Firstly, we prove the existence ...
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(PERGAMON-ELSEVIER SCIENCE LTD, 2011-08)We use fixed-point theory to obtain h-asymptotic stability results about the zero solution of nonlinear differential equations with functional delay. Neither boundedness of the deviations nor a fixed sign on the coefficients ...
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(Elsevier, 2016)We propose a new approach for proving existence of monotone wavefronts in non-monotone and non local monostable diffusive equations. This allows to extend recent results established for the particular case of equations ...
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(Wiley, 2020)In this paper, we study a new class of functions, which we call (omega, c)-asymptotically periodic functions. This collection includes asymptotically periodic, asymptotically antiperiodic, asymptotically Bloch-periodic, ...
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(2014)In this paper, we answer the question about the existence of the minimal speed of front propagation in a delayed version of the Murray model of the Belousov-Zhabotinsky (BZ) chemical reaction. It is assumed that the key ...
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(UNIV SZEGED, BOLYAI INSTITUTE, 2010)In this paper we investigate the existence of the periodic solutions of a quasilinear differential equation with piecewise constant argument of generalized type. By using some fixed point theorems and some new analysis ...
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(Belgian Mathematical Soc Triomphe, 2015)We consider the Poincare's classical problem of approximation for second order linear differential equations in the class of almost periodic type functions. We obtain an explicit form for solutions of these equations by ...
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(ELSEVIER, 2010)The existence and uniqueness of pseudo-almost periodic solutions to general neutral integral equations with deviations are obtained. For this, pseudo-almost periodic functions in two variables are considered. The results ...
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(2013-05)We study the wavefront solutions of the scalar reaction-diffusion equations ut(t, x) = Δu(t, x)-u(t, x)+g(u(t-h,x)), with monotone reaction term g : ℝ+ → ℝ+ and h > 0. We are mostly interested in the situation when the ...
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(Hindawi, 2013)
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(De Gruyter, 2017-01)In this paper, we study convergence characteristics of a class of continuous time fractional-order cellular neural network containing delay. Using the method of Lyapunov and Mittag-Leffler functions, we derive sufficient ...
