Results 71 to 80 of about 173,435,843 (136)

Existence Results and Finite-Time Stability of a Fractional (p,q)-Integro-Difference System [PDF]

In this article, we mainly generalize the results in the literature for a fractional q-difference equation. Our study considers a more comprehensive type of fractional p,q-difference system of nonlinear equations.
Amir Abdel Menaem, Mesmouli, M. B., Hassan, T. S., Abdel, Menaem, A., Taher S. Hassan, Loredana Florentina Iambor, Mouataz Billah Mesmouli, Iambor, L. F.   +7 more
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Dynamics of General Class of Difference Equations and Population Model with Two Age Classes

, 2020
In this paper, we study the qualitative behavior of solutions for a general class of difference equations. The criteria of local and global stability, boundedness and periodicity character (with period 2 k ) of the solution are established ...
Dimplekumar Chalishajar, Osama Moaaz, George E. Chatzarakis, Omar Bazighifan   +3 more
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Stability and Periodicity Performance of Solutions of Nonlinear Difference Equations

Axioms
This study investigates the dynamics of solutions to nonlinear difference equations. The equation under study is distinguished by its dynamical richness and contains many interesting special cases, including May’s Host–Parasitoid Model.
Shatha Qandos, Osama Moaaz
doaj   +1 more source

Stability in a system of difference equations [PDF]

Quarterly of Applied Mathematics, 1987
Let the solution \(X_ n(\epsilon)\) to a difference equation be parametrized by \(\epsilon >0\). The solution exhibits near-convergence to zero of \(\lim_{\epsilon \to 0}\overline{\lim}_{n\to \infty}| X_ n(\epsilon)| =0\). This paper deals with the problem of near- convergence for systems of difference equations which are under perturbation.
openaire   +2 more sources

Stability analysis of a system of second order rational difference equations [PDF]

Computational Ecology and Software, 2020
In this paper we consider a system of second order rational difference equations. We mainly discuss the boundedness and persistence, existence of fixed point, and uniqueness of positive fixed point, local and global behavior of positive fixed point and ...
Muhammad Salman Khan, Qamar Din, Maria Habib, Muhammad Asif Khan   +3 more
doaj  

Solutions of a System of Two Higher-Order Difference Equations in Terms of Lucas Sequence

Universal Journal of Mathematics and Applications, 2019
In this paper we give some theoretical explanations related to the representation for the general solution of the   system of the  higher-order rational difference equations $$ x_{n+1} = \frac{5 y_{n-k}-5}{y_{n-k}}, \qquad y_{n+1} = \frac{5 x_{n-k}-5}{x_{
Amira Khelifa, Yacine Halim, Massaoud Berkal   +2 more
doaj   +1 more source

On the asymptotic stability of linear Volterra difference equations of convolution type [PDF]

, 2007
We show that the condition |a| + |∑+∞l=0bl| \u3c 1 is not necessary, though sufficient, for the asymptotic stability of xn+1 = axn + ∑+∞l=0bn-lxl. We prove the existence of a class of Volterra difference equations (VDEs) that violate this condition but ...
S. ELAYDI, A. VECCHIO, Vecchio, A, Elaydi, Saber, E. Messina, MESSINA, ELEONORA, Messina, E, Elaydi S, Vecchio A, Messina E   +9 more
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Stability of abstract difference equations

Mathematical and Computer Modelling, 2002
Let \(M\) be a closed subspace of \(\ell ^\infty (J,X)\), the space of all bounded sequences \(\{x_n\}_{n\in J}\subset X\) where \(J\in \{\mathbb Z^+,\mathbb Z\}\) and \(X\) is a complex Banach space. Consider the operator difference equation \(u(n+1)=Au(n)+\psi(n)\), where \(\psi \in \ell ^\infty (\mathbb Z,X)\) such that the restriction \(\psi |_J ...
openaire   +2 more sources

Ulam–Hyers Stability of Fractional Difference Equations with Hilfer Derivatives

Fractal and Fractional
This paper investigates the Ulam–Hyers stability of both linear and nonlinear delayed neutral Hilfer fractional difference equations. We utilize the nabla Laplace transform, known as the N-transform, along with a generalized discrete Gronwall inequality ...
Marko Kostić, Halis Can Koyuncuoğlu, Jagan Mohan Jonnalagadda   +2 more
doaj   +1 more source

On the stability of the linear delay differential and difference equations

Abstract and Applied Analysis, 2001
We consider the initial-value problem for linear delay partial differential equations of the parabolic type. We give a sufficient condition for the stability of the solution of this initial-value problem.
A. Ashyralyev, P. E. Sobolevskii
doaj   +1 more source