Perron-Type Criterion for Linear Difference Equations with Distributed Delay

It is shown that if a linear difference equation with distributed delay of the form Δx(n)=∑k=−d0Δkζ(n+1,k−1)x(n+k−1), n≥1, satisfies a Perron condition then its trivial solution is uniformly asymptotically stable.

書誌詳細
出版年:	Discrete Dynamics in Nature and Society
主要な著者:	Jehad O. Alzabut, Thabet Abdeljawad
フォーマット:	論文
言語:	英語
出版事項:	Wiley 2007-01-01
オンライン･アクセス:	http://dx.doi.org/10.1155/2007/10840

類似資料

On Stability of Linear Delay Differential Equations under Perron's Condition
著者:: J. Diblík, 等
出版事項: (2011-01-01)

The -Fractional Analogue for Gronwall-Type Inequality
著者:: Thabet Abdeljawad, 等
出版事項: (2013-01-01)

Recent Developments and Applications on Discrete Fractional Equations and Related Topics
著者:: Shurong Sun, 等
出版事項: (2013-01-01)

A Perron-type theorem for nonautonomous difference equations with nonuniform behavior
著者:: Hailong Zhu, 等
出版事項: (2015-07-01)

On the Oscillation of Even-Order Half-Linear Functional Difference Equations with Damping Term
著者:: Yaşar Bolat, 等
出版事項: (2014-01-01)

Projection solutions of Frobenius-Perron operator equations
著者:: Jiu Ding, 等
出版事項: (1993-01-01)

A Perron type theorem for positive solutions of functional differential equations
著者:: Mihály Pituk
出版事項: (2018-06-01)

On the oscillatory behavior for a certain class of third order nonlinear delay difference equations
著者:: Samir Saker, 等
出版事項: (2010-11-01)

A Perron-Frobenius Theorem for Positive Quasipolynomial Matrices Associated with Homogeneous Difference Equations
著者:: Bui The Anh, 等
出版事項: (2007-01-01)

Perron, Jean. Tango tatouage
著者:: Pauline Brise
出版事項: (2015-12-01)

Oscillatory Properties of Odd-Order Delay Differential Equations with Distribution Deviating Arguments
著者:: Ali Muhib, 等
出版事項: (2020-08-01)

Oscillation criteria for non-canonical second-order nonlinear delay difference equations with a superlinear neutral term
著者:: Kumar S. Vidhyaa, 等
出版事項: (2023-06-01)

On the First Boundary Value Problem for Hypoelliptic Evolution Equations: Perron-Wiener Solutions and Cone-Type Criteria
著者:: Alessia E. Kogoj
出版事項: (2016-12-01)

Extended Perron complements of M-matrices
著者:: Qin Zhong, 等
出版事項: (2023-09-01)

On the Global Behaviour of Solutions for a Delayed Viscoelastic-Type Petrovesky Wave Equation with <i>p</i>-Laplacian Operator and Logarithmic Source
著者:: Bochra Belhadji, 等
出版事項: (2022-11-01)

Normalization of equation with linear distributed delay
著者:: I. S. Kashchenko
出版事項: (2009-12-01)

An Explicit Criterion for the Existence of Positive Solutions of the Linear Delayed Equation x˙(t)=−c(t)x(t−τ(t))
著者:: J. Baštinec, 等
出版事項: (2011-01-01)

Existence and Uniqueness Theorems for a Variable-Order Fractional Differential Equation with Delay
著者:: Benoumran Telli, 等
出版事項: (2023-03-01)

Hessian Distributed Ant Optimized Perron–Frobenius Eigen Centrality for Social Networks
著者:: P.V. Kumaraguru, 等
出版事項: (2023-08-01)

Generalized Perron complements in diagonally dominant matrices
著者:: Qin Zhong, 等
出版事項: (2024-11-01)

C0-continuity of the Fröbenius-Perron semigroup
著者:: Andrés Navas, 等
出版事項: (2002-01-01)

Solutions of the Multivariate Inverse Frobenius–Perron Problem
著者:: Colin Fox, 等
出版事項: (2021-06-01)

Examples on Perron effects in autonomous discrete systems
著者:: Balibrea Francisco, 等
出版事項: (2014-11-01)

Passivity analysis for Markovian jumping neutral type neural networks with leakage and mode-dependent delay
著者:: Natarajan Mala, 等
出版事項: (2023-04-01)

A Generalized q-Mittag-Leffler Function by q-Captuo Fractional Linear Equations
著者:: Thabet Abdeljawad, 等
出版事項: (2012-01-01)

On theoretical and numerical analysis of fractal--fractional non-linear hybrid differential equations
著者:: Shafiullah, 等
出版事項: (2024-03-01)

Ulam stability of Caputo q-fractional delay difference equation: q-fractional Gronwall inequality approach
著者:: Rabia Ilyas Butt, 等
出版事項: (2019-11-01)

Uma Extensão do Teorema de Perron-Frobenius
著者:: ROBERT NICOL
出版事項: (2024-01-01)

Iterative Methods for the Computation of the Perron Vector of Adjacency Matrices
著者:: Anna Concas, 等
出版事項: (2021-06-01)

Perron conditions for exponential expansiveness of one-parameter semigroup
著者:: Bogdan Sasu
出版事項: (2003-05-01)

Improved Kneser-type oscillation criterion for half-linear dynamic equations on time scales
著者:: Taher S. Hassan, 等
出版事項: (2024-10-01)

Oscillation and non-oscillation criterion for Riemann–Weber type half-linear differential equations
著者:: Petr Hasil, 等
出版事項: (2016-08-01)

New results on the existence of periodic solutions for Rayleigh equations with state-dependent delay
著者:: Eswari Rajendiran, 等
出版事項: (2022-06-01)

On the stability of the linear delay differential and difference equations
著者:: A. Ashyralyev, 等
出版事項: (2001-01-01)

Delay-Dependent Stability Criterion of Arbitrary Switched Linear Systems with Time-Varying Delay
著者:: Jun Li, 等
出版事項: (2010-01-01)

Oscillation criterion of Kneser type for half-linear second-order dynamic equations with deviating arguments
著者:: Taher S. Hassan, 等
出版事項: (2024-06-01)

As múltiplas críticas da crítica de Leyla Perrone-Moisés
著者:: Claudia Amigo Pino
出版事項: (2023-07-01)

On existence results of coupled pantograph discrete fractional order difference equations with numerical application
著者:: Aziz Khan, 等
出版事項: (2023-12-01)

Chaotic attractors and fixed point methods in piecewise fractional derivatives and multi-term fractional delay differential equations
著者:: Sumati Kumari Panda, 等
出版事項: (2023-03-01)

Oscillatory Behavior of a Type of Generalized Proportional Fractional Differential Equations with Forcing and Damping Terms
著者:: Jehad Alzabut, 等
出版事項: (2020-06-01)