Results 31 to 40 of about 95 (88)
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′
wiley +1 more source
Stability analysis of neutral type systems in Hilbert space [PDF]
, 2005 34K06, 34K20, 34K40, 93C23International audienceThe asymtoptic stability properties of neutral type systems are studied mainly in the critical case when the exponential stability is not possible.
Sklyar, Grigory, M. +7 more
core +1 more source
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
wiley +1 more source
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
doaj +1 more source
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
wiley +1 more source
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
wiley +1 more source
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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Open MathematicsIn this study, we are concerned with the existence and exponential stability issue of a delayed differential neoclassical growth model with discontinuous control strategy.
Wang Qian, Wang Wei, Zhan Qian
doaj +1 more source
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
wiley +1 more source
Demonstratio MathematicaIn this article, we apply the Fourier transform to prove the Hyers-Ulam and Hyers-Ulam-Rassias stability for the first- and second-order nonlinear differential equations with initial conditions.
Selvam Arunachalam +2 more
doaj +1 more source