Browsing by Author "XX676984"
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A GrobmanHartman theorem for differential equations with piecewise constant arguments of mixed type Pinto Jiménez, Manuel; Robledo Veloso, Gonzalo (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 ...

Coronel, Aníbal; Huancas, Fernando; Pinto Jiménez, Manuel (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 ...

Pinto Jiménez, Manuel; Robledo Veloso, Gonzalo (Springer, 2015)In this note, we obtain some necessary and sufficient conditions for the controllability and observability in a linear timevarying control system with piecewise constant state variables. The controllability results can ...

Pinto Jiménez, Manuel; Robledo Veloso, Gonzalo (Elsevier, 2013)A linear ODE system with bounded continuous coefficients is studied. Provided that the diagonal terms are ‘‘separated’’ and the offdiagonal terms satisfy a smallness threshold, we present some sufficient conditions for ...

Coronel, Aníbal; Maulén, Christopher; Pinto Jiménez, Manuel; Sepúlveda, Daniel (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 ...

Pinto Jiménez, Manuel (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.

Campillay Llanos, William; Guevara, Felipe; Pinto Jiménez, Manuel; Torres, Ricardo (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 ...

Pinto Jiménez, Manuel; Robledo Veloso, Gonzalo (ELSEVIER SCIENCE INC, 20101215)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 ...

Trofimchuk, Elena; Pinto Jiménez, Manuel; Trofimchuk, Sergei (Cambridge University Press, 2020)We are revisiting the topic of travelling fronts for the foodlimited (FL) model with spatiotemporal nonlocal reaction. These solutions are crucial for understanding the whole model dynamics. Firstly, we prove the existence ...

Pinto Jiménez, Manuel; Sepúlveda, Daniel (PERGAMONELSEVIER SCIENCE LTD, 201108)We use fixedpoint theory to obtain hasymptotic 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 ...

Trofimchuk, Elena; Pinto Jiménez, Manuel; Trofimchuk, Sergei (Elsevier, 2016)We propose a new approach for proving existence of monotone wavefronts in nonmonotone and non local monostable diffusive equations. This allows to extend recent results established for the particular case of equations ...

Álvarez, Edgardo; Castillo, Samuel; Pinto Jiménez, Manuel (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 Blochperiodic, ...

Trofimchuk, Elena; Pinto Jiménez, Manuel; Trofimchuk, Sergei (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 BelousovZhabotinsky (BZ) chemical reaction. It is assumed that the key ...

Chiu, KuoShou; Pinto Jiménez, Manuel (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 ...

Figueroa, Pablo; Pinto Jiménez, Manuel (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 ...

Pinto Jiménez, Manuel (ELSEVIER, 2010)The existence and uniqueness of pseudoalmost periodic solutions to general neutral integral equations with deviations are obtained. For this, pseudoalmost periodic functions in two variables are considered. The results ...

Trofimchuk, Elena; Pinto Jiménez, Manuel; Trofimchuk, Sergei (201305)We study the wavefront solutions of the scalar reactiondiffusion equations ut(t, x) = Δu(t, x)u(t, x)+g(u(th,x)), with monotone reaction term g : ℝ+ → ℝ+ and h > 0. We are mostly interested in the situation when the ...

Banás, Józef; Matkowski, Janusz; Merentes, Nelson; Pinto Jiménez, Manuel; Sanchez, Jose Luis (Hindawi, 2013)

Tyagi, Swati; Abbas, Syed; Pinto Jiménez, Manuel; Sepúlveda, Daniel (De Gruyter, 201701)In this paper, we study convergence characteristics of a class of continuous time fractionalorder cellular neural network containing delay. Using the method of Lyapunov and MittagLeffler functions, we derive sufficient ...

(ω, c)periodic functions and mild solutions to abstract fractional integrodifferential equations Álvarez, Edgardo; Gómez, Adrián; Pinto Jiménez, Manuel (Univ Szeged, 2018)In this paper we study a new class of functions, which we call (omega, c)periodic functions. This collection includes periodic, antiperiodic, Bloch and unbounded functions. We prove that the set conformed by these functions ...