Results 21 to 30 of about 507 (97)
Shehu Integral Transform and Hyers-Ulam Stability of nth order Linear Differential Equations
Scientific African, 2022 In this paper, we establish the Shehu transform expression for homogeneous and non-homogeneous linear differential equations. With the help of this new integral transform, we solve higher order linear differential equations in the Shehu sense.
Vediyappan Govindan +5 more
doaj +1 more source
Approximate solutions of stochastic differential delay equations with Markovian switching [PDF]
, 2010 Our main aim is to develop the existence theory for the solutions to stochastic differential delay equations with Markovian switching (SDDEwMSs) and to establish the convergence theory for the Euler-Maruyama approximate solutions under the local ...
Bahar A. +9 more
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Exploration on dynamics in a discrete predator–prey competitive model involving feedback controls
Journal of Biological Dynamics, 2023 In this work, we set up a new discrete predator–prey competitive model with time-varying delays and feedback controls. By virtue of the difference inequality knowledge, a sufficient condition which guarantees the permanence of the established discrete ...
Changjin Xu +4 more
doaj +1 more source
Multi-condition of stability for nonlinear stochastic non-autonomous delay differential equation [PDF]
, 2018 A nonlinear stochastic differential equation with the order of nonlinearity higher than one, with several discrete and distributed delays and time varying coefficients is considered.
Shaikhet, Leonid
core +2 more sources
Hyperbolicity of linear partial differential equations with delay [PDF]
, 2013 Robust hyperbolicity and stability results for linear partial differential equations with delay will be given and, as an application, the effect of small delays to the asymptotic properties of feedback systems will be ...
Bátkai, András
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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
doaj +1 more source
Analysis and numerical simulations of fractional order Vallis system
Alexandria Engineering Journal, 2020 This paper represents a non-integer-order Vallis systems in which we applied the Grünwald-Letnikov tactics with Binomial coefficients in order to realize the numerical simulations to a set of equations.
Zain Ul Abadin Zafar +4 more
doaj +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
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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
Open Mathematics, 2019 Overf the last few years, by utilizing Mawhin’s continuation theorem of coincidence degree theory and Lyapunov functional, many scholars have been concerned with the global asymptotical stability of positive periodic solutions for the non-linear ...
Han Sufang +4 more
doaj +1 more source