Infinite Delay
Existence of mild solutions for impulsive fractional stochastic equations with infinite delay
... On the other hand, the theory of impulsive differential equations is emerging as an active area of investigation due to the application in area such as mechanics, electrical engineering, medicine biology, and ecology, ...
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Existence and regularity for some partial functional integrodifferential equations with infinite delay
... with infinite delay in an abstract admissible phase space was initiated by Hale and Kato [20], Kappel and Schappacher [24], and Schumacher ...with infinite delay at the same time and obtain ...
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A note on discrete maximal regularity for functional difference equations with infinite delay
... with infinite delay has drawn the at- tention of several authors (see [6–12, ...is infinite dimensional require the development of methods and techniques from functional ...
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Existence results for impulsive neutral stochastic functional integrodifferential systems with infinite delay
... with infinite delay and Krasnoselski-Schaefer type fixed point theorem, whereas ...with infinite delay via fractional operators and Sadovskii fixed point theorem, and Yong Ren et ...with ...
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Asymptotic Behavior of Impulsive Infinite Delay Difference Equations with Continuous Variables
... impulsive infinite delay difference equations with continuous ...an infinite delay difference inequality with impulsive initial conditions and using the properties of “-cone,” we obtain the ...
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17.Unique solutions for systems of fractional order differential equations with infinite delay
... Two systems of fractional order functional and neutral functional differential equations with infinite delay are studied in this article, and some sufficient conditions for existence of [r] ...
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On the controllability of some partial functional integrodifferential equations with infinite delay in Banach spaces
... Integrodifferential equations appear in many areas of applications such as Electronics, Engi- neering, Physical Sciences, Fluid Dynamics, etc. During the last decades, these integrodiffer- ential systems have received ...
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A Study of Second Order Impulsive Neutral Evolution Differential Control Systems with an Infinite Delay
... [5] T. Gunasekar, M. Angayarkanni and S. Yasotha, Controllability results for impul- sive neutral stochastic functional integrodifferential inclusions with infinite delay, International Journal of Pure and ...
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Dynamics of the logistic harvesting model with infinite delay on periodically evolving domains
... Abstract. In order to understand the impact of periodic evolution in habitats on the survival of species, a logistic reaction diffusion harvesting model with infinite delay in a periodically evolving domain ...
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Semigroup Approach to Semilinear Partial Functional Differential Equations with Infinite Delay
... We describe a semigroup of abstract semilinear functional differential equations with infinite delay by the use of the Crandall Liggett theorem. We suppose that the linear part is not necessarily densely ...
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Existence of Mild Solutions to Fractional Integrodifferential Equations of Neutral Type with Infinite Delay
... We study the solvability of the fractional integrodifferential equations of neutral type with infinite delay in a Banach space X. An existence result of mild solutions to such problems is obtained under the ...
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Existence results for fractional differential equations with infinite delay and interval impulsive conditions
... Recently, the study of impulsive differential equations has attracted a great deal of attention in fractional dynamics and its theory has been treated in several works [5], [13]. Balachandran and Trujillo [3], [4] inves- ...
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The Dynamics of an Impulsive Competitive System with Infinite Delay and Diffusion
... In ecological environment, because of the natural enemy, severe competition, deterioration of the patch environment, spatial heterogeneity and human activi- ties, species dispersal in two or more patches becomes one of ...
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On linear Volterra difference equations with infinite delay
... Our purpose in this paper is to give the discrete analogues of the results in [19, 21, 33]. Here, we study the behavior of solutions of linear neutral Volterra difference equations with infinite delay, and, ...
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Solvability of Nonautonomous Fractional Integrodifferential Equations with Infinite Delay
... We study the existence and uniqueness of mild solution of a class of nonlinear nonautonomous fractional integrodifferential equations with infinite delay in a Banach space X. The existence of mild solution ...
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Functional differential equations with infinite delay in Banach spaces
... differential equation with infinite delay in a Banach space and the exponential stability of the solution semigroup of the corresponding linear equation, and found that the exponential s[r] ...
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Existence of solutions for fractional stochastic impulsive neutral functional differential equations with infinite delay
... Motivated by the above discussions, in this paper we aim to study the existence of solu- tions for fractional stochastic impulsive neutral functional differential equations with infi- nite delays. In the established model, ...
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Asymptotic properties of a stochastic Lotka–Volterra model with infinite delay and regime switching
... We investigate the long-term properties of a stochastic Lotka–Volterra model with infinite delay and Markovian chains on a finite state space. We investigate that the stochastic model admits a unique positive global ...
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On the controllability of fractional functional integro differential systems with an infinite delay in Banach spaces
... authors Ji et al. [] derived the nonlocal controllability of an impulsive differential evolu- tion system and the evolution part is not compact by means of Mönch’s fixed point theo- rem via measures of noncompactness. ...
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The permanence and periodic solution of a competitive system with infinite delay, feedback control, and Allee effect
... infinite delay, feedback control, and the Allee ...infinite delay, feedback control, and the Allee effect by using the differential inequality theory and constructing the Lyapunov ...
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