Results 21 to 30 of about 94 (92)
Open Mathematics, 2017 This paper is concerned with a competition and cooperation model of two enterprises with multiple delays and feedback controls. With the aid of the difference inequality theory, we have obtained some sufficient conditions which guarantee the permanence ...
Lu Lin, Lian Yi, Li Chaoling
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The method of averaging and functional differential equations with delay
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 8, Page 497-511, 2001., 2001 We present a natural extension of the method of averaging to fast oscillating functional differential equations with delay. Unlike the usual approach where the analysis is kept in an infinite‐dimensional Banach space, our analysis is achieved in ℝn. Our results are formulated in classical mathematics. They are proved within Internal Set Theory which is
Mustapha Lakrib
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On the “freezing” method for nonlinear nonautonomous systems with delay
International Journal of Stochastic Analysis, Volume 14, Issue 3, Page 283-292, 2001., 2001 Nonlinear nonautonomous differential systems with delaying argument are considered. Explicit conditions for absolute stability are derived. The proposed approach is based on the generalization of the “freezing” method for ordinary differential equations.
Michael I. Gil′
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Stability investigation of quadratic systems with delay
International Journal of Stochastic Analysis, Volume 13, Issue 1, Page 85-92, 2000., 2000 Systems of differential equations with quadratic right‐hand sides with delay are considered in the paper. Compact matrix notation form is proposed for the systems of such type. Stability investigations are performed by Lyapunov′s second method with functions of quadratic form.
Vladimir Davydov, Denis Khusainov
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An analysis on the stability of a state dependent delay differential equation
Open Mathematics, 2016 In this paper, we present an analysis for the stability of a differential equation with state-dependent delay. We establish existence and uniqueness of solutions of differential equation with delay term τ(u(t))=a+bu(t)c+bu(t).$\tau (u(t)) = \frac{{a + bu(
Erman Sertaç, Demir Ali
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On the stability and uniform stability of retarded integro-differential equations
Alexandria Engineering Journal, 2018 In this paper, the authors obtain new sufficient conditions for stability (S) and uniform stability (US) of solutions of the first order retarded Volterra integro-differential equations (VIDEs) in the formx′=A(t)x+∫t-τtC(t,s)ϕ(s,x(s))ds+f(t,x,x(t-τ)).The
Cemil Tunç, Sizar Abid Mohammed
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International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 255-259, 1998., 1996 Based on our preceding paper, this note is concerned with the exponential stability of the solution semigroup for the abstract linear autonomous functional differential equation where L is a continuous linear operator on some abstract phase space B into a Banach space E. We prove that the solution semigroup of (∗) is exponentially stable if and only if
Jin Liang, Falun Huang, Tijun Xiao
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Differential Methods for HU Stability of Backward Shift Operators via Weight Sequences
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper introduces a new concept of jth weighted backward shift operators on weighted Hardy spaces Hμ2. We introduce the operator Ωγj and characterize its boundedness in certain sequences associated with the weights. After that, we establish HU stability of the jth weighted backward shift operator Υenj and provide conditions under which stability ...
Zohreh Kefayati +4 more
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Asymptotic constancy of solutions of systems of difference equations
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 501-506, 1996., 1994 Assuming only conditional summability we study the convergence of the solutions of difference systems.
Rigoberto Medina, Manuel Pinto
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An Efficient Numerical Study of Measles Transmission Dynamics With Time Delay
Journal of Mathematics, Volume 2026, Issue 1, 2026.Measles is a highly contagious viral disease that remains a public‐health concern in populations with suboptimal vaccination coverage. In this study, a delayed SEIR‐type epidemic model is formulated to investigate measles transmission dynamics, where the latent period is incorporated through a discrete time delay.
Ali Raza +3 more
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