Results 11 to 20 of about 114 (107)

New sufficient conditions for global asymptotic stability of a kind of nonlinear neutral differential equations

open access: yes, 2021
This paper addresses the stability study for nonlinear neutral differ ential equations. Thanks to a new technique based on the fixed point theory, we find some new sufficient conditions ensuring the global asymp totic stability of the solution.
Caraballo Garrido, TomĂĄs   +1 more
core   +1 more source

Semi-Hyers-Ulam-Rassias stability for an integro-differential equation of order 𝓃

open access: yesDemonstratio Mathematica, 2023
The Laplace transform method is applied in this article to study the semi-Hyers-Ulam-Rassias stability of a Volterra integro-differential equation of order n, with convolution-type kernel.
Inoan Daniela, Marian Daniela
doaj   +1 more source

Shehu Integral Transform and Hyers-Ulam Stability of nth order Linear Differential Equations

open access: yesScientific 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

Exploration on dynamics in a discrete predator–prey competitive model involving feedback controls

open access: yesJournal 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

Dynamics of a diffusive delayed competition and cooperation system

open access: yesOpen Mathematics, 2020
In this manuscript, we first consider the diffusive competition and cooperation system subject to Neumann boundary conditions without delay terms and get the conclusion that the unique positive constant equilibrium is locally asymptotically stable. Then,
Wei Zhangzhi, Zhang Xin
doaj   +1 more source

Dynamics for a discrete competition and cooperation model of two enterprises with multiple delays and feedback controls

open access: yesOpen 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

open access: yesAlexandria Engineering Journal, 2020
This paper represents a non-integer-order Vallis systems in which we applied the GrĂźnwald-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

Ger‐type and Hyers‐Ulam stabilities for the first‐order linear differential operators of entire functions

open access: yesInternational 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

Periodic solutions for some partial functional differential equations

open access: yesInternational 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

Global stability of a distributed delayed viral model with general incidence rate

open access: yesOpen Mathematics, 2018
In this paper, we discussed a infinitely distributed delayed viral infection model with nonlinear immune response and general incidence rate. We proved the existence and uniqueness of the equilibria.
Ávila-Vales Eric   +2 more
doaj   +1 more source

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