Results 21 to 30 of about 669 (121)
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 22, Page 1151-1158, 2004., 2004 Let h be an entire function and Th a differential operator defined by Thf = f′ + hf. We show that Th has the Hyers‐Ulam stability if and only if h is a nonzero constant. We also consider Ger‐type stability problem for |1 − f′/hf| ≤ ϵ.
Takeshi Miura +2 more
wiley +1 more source
Global Stability of an SIR Epidemic Model with Delay and General Nonlinear Incidence [PDF]
, 2010 An SIR model with distributed delay and a general incidence function is studied. Conditions are given under which the system exhibits threshold behaviour: the disease-free equilibrium is globally asymptotically stable if R0 \u3c 1 and globally attracting
McCluskey, C. Connell
core +2 more sources
Boundary Value Problems, 2013 Under Neumann or Dirichlet boundary conditions, the stability of a class of delayed impulsive Markovian jumping stochastic fuzzy p-Laplace partial differential equations (PDEs) is considered.
R. Rao, Zhilin Pu
semanticscholar +1 more source
Periodic solutions for some partial functional differential equations
International Journal of Stochastic Analysis, Volume 2004, Issue 1, Page 9-18, 2004., 2004 We study the existence of a periodic solution for some partial functional differential equations. We assume that the linear part is nondensely defined and satisfies the Hille‐Yosida condition. In the nonhomogeneous linear case, we prove the existence of a periodic solution under the existence of a bounded solution.
Rachid Benkhalti, Khalil Ezzinbi
wiley +1 more source
HYERS-ULAM STABILITY OF A PERTURBED GENERALISED LIENARD EQUATION
International Journal of Apllied Mathematics, 2019 In this paper, we consider the Hyers-Ulam stability of a perturbed generalized Lienard equation, using a nonlinear extension of Gronwall-Bellman integral inequality called the Bihari integral inequality.
I. Fakunle, P. Arawomo
semanticscholar +1 more source
Mathematical Problems in Engineering, Volume 2003, Issue 4, Page 137-152, 2003., 2003 This paper deals with the class of uncertain systems with multiple time delays. The stability and stabilizability of this class of systems are considered. Their robustness are also studied when the norm‐bounded uncertainties are considered. Linear matrix inequality (LMIs) delay‐dependent sufficient conditions for both stability and stabilizability and ...
D. Mehdi, E. K. Boukas
wiley +1 more source
On the Lyapunov equation in Banach spaces and applications to control problems
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 3, Page 155-166, 2002., 2002 By extending the Lyapunov equation A*Q + QA = −P to an arbitrary infinite‐dimensional Banach space, we give stability conditions for a class of linear differential systems. Relationship between stabilizability and exact null‐controllability is established.
Vu Ngoc Phat, Tran Tin Kiet
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
Dynamics of a nonautonomous Lotka-Volterra predator-prey dispersal system with impulsive effects
, 2014 By applying the comparison theorem, Lyapunov functional, and almost periodic functional hull theory of the impulsive differential equations, this paper gives some new sufficient conditions for the uniform persistence, global asymptotical stability, and ...
Lijun Xu, Wenquan Wu
semanticscholar +1 more source
Finite-time stability analysis of fractional singular time-delay systems
Advances in Differential Equations, 2014 This paper studies the finite-time stability of fractional singular time-delay systems. First, by the method of the steps, we discuss the existence and uniqueness of the solutions for the equivalent systems to the fractional singular time-delay systems ...
Denghao Pang, Wei Jiang
semanticscholar +1 more source