Browsing by Author "XX676984"
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A global stability criterion for a family of delayed population models
Liz, Eduardo; Pinto Jiménez, Manuel; Tkachenko, Victor; Trofimchuk, Sergei (American Mathematical Society, 2005)For a family of singlespecies delayed population models, a new global stability condition is found. This condition is sharp and can be applied in both monotone and nonmonotone cases. Moreover, the consideration of variable ... 
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 ... 
A Grobman–Hartman Theorem for differential equations with piecewise constant arguments of mixed type
Pinto Jiménez, Manuel; Robledo Veloso, Gonzalo (European Mathematical Society Publishing House, 2018)We obtain sufficient conditions for the existence of a uniformly and Hölder continuous homeomorphism between the solutions of a linear differential system with piecewise constant argument of generalized type and the solutions ... 
A new class of differential equations with impulses at instants dependent on preceding pulses. Applications to management of renewable resources
Córdova Lepe, Fernando; Pinto Jiménez, Manuel; González Olivares, Eduardo (2012)In this paper, a new type of mathematical model to represent certain processes with impulsive dynamic behavior is introduced. The main assumption is that the next impulse time is determined by three fundamental elements: ... 
Admissible perturbations of exponential dichotomy roughness
Naulin, Raúl; Pinto Jiménez, Manuel (Elsevier Ltd, 1998) 
Almost and asymptotically almost periodic solutions of abstract retarded functional difference equations in phase space
del Campoa, Luis; Pinto Jiménez, Manuel; Vidal, Claudio (2011)We establish the existence of bounded, almost periodic solutions and asymptotically almost periodic solutions for functional difference equations with infinite delay on abstract phase space. An application to Volterra ... 
Almost periodic evolution systems with impulse action at statedependent moments
Hakl, Robert; Pinto Jiménez, Manuel; Tkachenko, Viktor; Trofimchuk, Sergei (Academic Press Inc., 2017)© 2016 Elsevier Inc. We study the existence of almost periodic solutions for semilinear abstract parabolic evolution equations with impulse action at statedependent moments. In particular, we present conditions excluding ... 
Approximation of Solutions of FractionalOrder Delayed Cellular Neural Network on [0,∞)
Tyagi, Swati; Abbas, Syed; Pinto Jiménez, Manuel; Sepúlveda, Daniel (Birkhauser Verlag AG, 2017)© 2016, Springer International Publishing. In this paper, we study a class of fractionalorder cellular neural network containing delay. We prove the existence and uniqueness of the equilibrium solution followed by ... 
Asymptotic behavior of impulsive differential equations
González, Patricio; Pinto Jiménez, Manuel (Rocky Mountain Mathematics Consortium, 1996)Based on integral inequalities and on the Banach's fixed point theorem, we study the problem of asymptotic equilibrium for impulsive differential equations at fixed times. 
Asymptotic integration of a linear fourth order differential equation of Poincare type
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 ... 
Asymptotic integration of a system resulting from the perturbation of an hsystem
Pinto Jiménez, Manuel (1988) 
Asymptotic integration of nonautonomous delaydifferential systems
Gallardo, Julio; Pinto Jiménez, Manuel (Academic Press Inc., 1996)We prove existence theorems and asymptotic formulas for the solutions of a class of delaydifferential equations with timestate dependent lag. © 1996 Academic Press, Inc. 
Asymptotic Integration of the Functional Differential Equation y′(t) = a(t) y(t  r(t, y))
Pinto Jiménez, Manuel (1993) 
Asymptotic representation of solutions of linear second order difference equations
Medina, Rigoberto; Pinto Jiménez, Manuel (1992)Using dichotomy conditions, we obtain asymptotic formulae for the solutions of perturbed linear second order difference equations. © 1992. 
Asymptotic solutions for second order delay differential equations
Pinto Jiménez, Manuel (Elsevier Ltd, 1997) 
Asymptotics for second order delayed differential equations
Castillo, Samuel; Pinto Jiménez, Manuel (Universidad Catolica del Norte, 2007)In this work we present a way to find asymptotic formulas for some solutions of second order linear differential equations with a retarded functional perturbation. 
Asymptotics for solutions of periodic difference systems
Arancibia, Alejandro Omón; Pinto Jiménez, Manuel (2009)Using dichotomies and periodic conditions, we obtain asymptotic formulas for solutions of a difference system of Poincaré type with periodic coefficients. Some results about the theory of existence of periodic solutions ... 
Bounded and periodic solutions in retarded difference equations using summable dichotomies
Luis Campo, D. E.L.; Pinto Jiménez, Manuel; Vidal, Claudio (2012)Using the notion of summable dichotomy in ordinary difference equations and the contraction and Schauder fixed point theorem, we obtain the existence of bounded and periodic solutions on ℤ under quite general hypotheses ... 
Bounded and periodic solutions of nonlinear integrodifferential equations with infinite delay
Pinto Jiménez, Manuel (2009)By using the concept of integrable dichotomy, the fixed point theory, functional analysis methods and some new technique of analysis, we obtain new criteria for the existence and uniqueness of bounded and periodic solutions ... 
Cauchy and Green matrices type and stability in alternately advanced and delayed differential systems
Pinto Jiménez, Manuel (2011)In this paper, we study differential equations with piecewise constant argument of generalized (DEPCAGs) type, i.e., the argument is a general step function. They are hybrid equations combining properties of continuous and ...