Emergent Dynamics of an Orientation Flocking Model With Distance‐Dependent Delay
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DOI: 10.1002/mma.11031
Abstract: In this paper, we investigate the dynamical behaviors of an orientation flocking model that incorporates state‐dependent delay. The research unfolds in three principal phases: First, we establish the global existence and uniqueness of solutions for… read more here.
Keywords: orientation; orientation flocking; dependent delay; flocking model ... See more keywords
Stability Analysis of Discrete‐Time Stochastic Systems With Markov Switching and State‐Dependent Delay
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DOI: 10.1002/rnc.7735
Abstract: This article focuses on the pth moment exponential stability of discrete‐time Markov switched stochastic systems with state‐dependent delay. By using Razumikhin technique, and stochastic analysis techniques, the state‐dependent delay with randomness due to the randomness… read more here.
Keywords: stability; dependent delay; analysis; state dependent ... See more keywords
Global Hopf Bifurcation for Differential-Algebraic Equations with State-Dependent Delay
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-017-9640-0
Abstract: We develop a global Hopf bifurcation theory for differential equations with a state-dependent delay governed by an algebraic equation, using the $$S^1$$S1-equivariant degree. We apply the global Hopf bifurcation theory to a model of genetic… read more here.
Keywords: state; global hopf; state dependent; dependent delay ... See more keywords
Controllability of fractional impulsive quasilinear differential systems with state dependent delay
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Dynamics and Control"
DOI: 10.1007/s40435-018-0425-z
Abstract: In this paper, we study some controllability results for an abstract fractional impulsive quasilinear integro-differential system with state-dependent delay. We will use the concepts of fractional calculus, measure of noncompactness and abstract phase space to… read more here.
Keywords: dependent delay; state dependent; fractional impulsive; impulsive quasilinear ... See more keywords
Existence, uniqueness and approximate controllability of abstract differential equations with state-dependent delay
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DOI: 10.1016/j.jde.2020.06.030
Abstract: Abstract We study the approximate controllability of a general class of first order abstract control differential problems with state-dependent delay. To this end, we establish and prove several new results on local and global existence… read more here.
Keywords: approximate controllability; dependent delay; state dependent; differential equations ... See more keywords
Modeling and analysis of a predator–prey model with state-dependent delay
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DOI: 10.1142/s1793524518500262
Abstract: We propose and study a predator–prey model with state-dependent delay where the prey population is assumed to have an age structure. The state-dependent delay appears due to the mature condition that the prey must spend… read more here.
Keywords: predator prey; prey model; state dependent; dependent delay ... See more keywords
Corrigendum to "A state-dependent delay equation with chaotic solutions" [Electron. J. Qual. Theory Differ. Equ. 2019, No. 22, 1–20]
Sign Up to like & getrecommendations! Published in 2019 at "Electronic Journal of Qualitative Theory of Differential Equations"
DOI: 10.14232/ejqtde.2019.1.64
Abstract: We correct an error in “A state-dependent delay equation with chaotic solutions” [Electron. J. Qual. Theory Differ. Equ. 2019, No. 22, 1–20]. read more here.
Keywords: equation chaotic; chaotic solutions; theory; delay equation ... See more keywords
A New Investigation on Fractional-Ordered Neutral Differential Systems with State-Dependent Delay
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DOI: 10.1515/ijnsns-2018-0362
Abstract: Abstract Fractional differential equations with delay behaviors occur in fields like physical and biological ones with state-dependent delay or nonconstant delay and has drawn the attention of researchers. The main goal of the present work… read more here.
Keywords: neutral differential; state dependent; dependent delay; delay ... See more keywords
On Fractional Differential Equations With State-Dependent Delay Via Kuratowski Measure Of Noncompactness
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DOI: 10.2298/fil1702451b
Abstract: This paper is devoted to study the existence of mild solutions for semilinear functional differential equations with state-dependent delay involving the Riemann-Liouville fractional derivative in a Banach space and resolvent operator. The arguments are based… read more here.
Keywords: measure noncompactness; equations state; dependent delay; state dependent ... See more keywords
Analysis on Controllability Results for Wellposedness of Impulsive Functional Abstract Second-Order Differential Equation with State-Dependent Delay
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DOI: 10.3390/axioms10030188
Abstract: The functional abstract second order impulsive differential equation with state dependent delay is studied in this paper. First, we consider a second order system and use a control to determine the controllability result. Then, using… read more here.
Keywords: order; second order; dependent delay; state dependent ... See more keywords
About Stability of Nonlinear Stochastic Differential Equations with State-Dependent Delay
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DOI: 10.3390/sym14112307
Abstract: A nonlinear stage-structured population model with a state-dependent delay under stochastic perturbations is investigated. Delay-independent and delay-dependent conditions of stability in probability for two equilibria of the considered system are obtained via the general method… read more here.
Keywords: state dependent; dependent delay; nonlinear stochastic; stability nonlinear ... See more keywords