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On Near-Optimal Mean-Field Stochastic Singular Controls: Necessary and Sufficient Conditions for Near-Optimality
TLDR
This paper deals with necessary and sufficient conditions for near-optimal singular stochastic controls for nonlinear controlled stochastically differential equations of mean-field type, which is also called McKean–Vlasov-type equations. Expand
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Pseudo almost automorphic solutions of some nonlinear integro-differential equations
  • S. Abbas
  • Computer Science, Mathematics
  • Comput. Math. Appl.
  • 1 September 2011
TLDR
In this paper we discuss the existence and uniqueness of a pseudo almost automorphic solution of an integro-differential equation in a Banach space X. Expand
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Global analysis of a delayed density dependent predator-prey model with Crowley-Martin functional response
TLDR
We present and study a two-dimensional continuous time dynamical system modelling a predator–prey with discrete delay incorporating Crowley–Martin functional response. Expand
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Asymptotic almost automorphic solutions of impulsive neural network with almost automorphic coefficients
TLDR
Asymptotic stability of asymptotically almost automorphic solution of impulsive neural networks with delay is discussed. Expand
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Existence of solutions to fractional order ordinary and delay differential equations and applications.
In this article, we discuss the existence and uniqueness of solution to fractional order ordinary and delay differential equations. We apply our results on the single species model of Lotka VolterraExpand
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A note on Weyl pseudo almost automorphic functions and their properties
PurposeIn this paper we discuss the notion of Weyl pseudo almost automorphic functions. These kind of functions are more general than almost automorphic functions and Stepanov almost automorphicExpand
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Robust consensus of nonlinear multi-agent systems via reliable control with probabilistic time delay
TLDR
In this paper, the consensus problem of uncertain nonlinear multi-agent systems is investigated via reliable control in the presence of probabilistic time-varying delay. Expand
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Almost periodic solution of a non-autonomous model of phytoplankton allelopathy
In this paper, a non-autonomous two species competitive allelopathic phytoplankton model in presence of a discrete time delay is considered. We have obtained the sufficient conditions for permanenceExpand
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Existence and non-existence of spatial patterns in a ratio-dependent predator–prey model
Abstract In this paper, first we consider the global dynamics of a ratio-dependent predator–prey model with density dependent death rate for the predator species. Analytical conditions for localExpand
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A comparative study of deterministic and stochastic dynamics for a non-autonomous allelopathic phytoplankton model
TLDR
In this paper, we investigate a non-autonomous competitive phytoplankton model with periodic coefficients in deterministic and stochastic environment, respectively. Expand
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