Global Hopf Bifurcation for Differential-Algebraic Equations with State-Dependent Delay
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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