Search Results - Difference and functional equations Difference equations Stability theory

Mathematics of continuous and discrete dynamical systems : AMS special session in honor of Ronald Mickens's 70th birthday nonstandard finite-difference discretizations and nonlinear oscillations, January 9-10, 2013, San Diego, CA by Gumel, Abba B., AMS Special Session in Honor of Ronald Mickens's 70th Birthday, Nonstandard Finite-Difference Discretizations and Nonlinear Oscillations

“… finite-difference methods for solving continuous-time ordinary and partial differential equation models, the analytical and numerical study of models that undergo nonlinear oscillations, as well…”
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Lyapunov–Krasovskii functional for uniform stability of coupled differential-functional equations by Gu, Keqin, Liu, Yi

“… After the general stability theory, the special case of coupled differential-difference equations is discussed, and the necessity for the existence of quadratic Lyapunov…”
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On Nonlinear Hahn Difference Equations with Maxima: On Nonlinear Hahn Difference Equations with Maxima by Zhou, Longyun, Wang, JinRong

“…, the Ulam’s type stability of the nonlinear Hahn difference equations with maxima are given…”
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Hyers–Ulam Stability of Linear Homogeneous Quaternion-Valued Difference Equations by Wang, Jiangnan, Wang, JinRong, Liu, Rui

“…In this paper, we consider the Hyers–Ulam stability of the first-order linear homogeneous quaternion matrix difference equation…”
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Coexistence of Stability and Chaos in a Class of Difference Equations with Two Delays: Coexistence of Stability and Chaos in a Class of Difference by Liang, Wei, Zhang, Yongjun, Zhang, Xuanxuan

“…Stability and chaos of a class of difference equations with two arbitrary delays are considered in this paper…”
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Chaos, control, and synchronization in some fractional-order difference equations by Khennaoui, Amina-Aicha, Ouannas, Adel, Bendoukha, Samir, Grassi, Giuseppe, Wang, Xiong, Pham, Viet-Thanh, Alsaadi, Fawaz E.

“… In addition, three control laws are introduced for these fractional maps and the convergence of the controlled states towards zero is guaranteed by means of the stability theory of linear fractional discrete systems…”
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pth Moment Exponential Stability of Impulsive Stochastic Functional Differential Equations: pth Moment Exponential Stability by Li, Qiaofeng, Li, Jianli

“…This paper centers on the exponential stability of impulsive stochastic functional differential equations…”
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Hyers–Ulam stability of non-autonomous and nonsingular delay difference equations by Rahmat, Gul, Ullah, Atta, Rahman, Aziz Ur, Sarwar, Muhammad, Abdeljawad, Thabet, Mukheimer, Aiman

“…In this paper, we study the uniqueness and existence of the solution of a non-autonomous and nonsingular delay difference equation using the well-known principle of contraction from fixed point theory…”
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Stability to Quaternion Matrix Differential Equations with Singular Coefficients: Stability to Quaternion Matrix Differential Equations by Wang, Jiangnan, Wang, JinRong, Liu, Rui

“…This paper explores the stability of quaternion matrix differential equations (QMDEs) with singular coefficients, applying integration by parts in the sense…”
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Ulam–Hyers stability of impulsive integrodifferential equations with Riemann–Liouville boundary conditions by Zada, Akbar, Alzabut, Jehad, Waheed, Hira, Popa, Ioan-Lucian

“…This paper is concerned with a class of impulsive implicit fractional integrodifferential equations having the boundary value problem with mixed Riemann…”
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Solvability and Hyers-Ulam Stability of Quaternion Difference Equations With Two-sided Coefficients: Solvability and Hyers-Ulam by Zou, Yuqun, Wang, JinRong

“…This paper delves into solvability and Hyers-Ulam stability of a class of quaternion difference equations with two-sided coefficients…”
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Stability Analysis of Impulsive Fractional Difference Equations by Wu, Guo–Cheng, Baleanu, Dumitru

“… Then stability of impulsive fractional difference equations is investigated in this paper. The fractional sum equation is considered and impulsive effects are introduced into discrete fractional calculus…”
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A fixed point approach to stability of functional equations by Brzdȩk, Janusz, Chudziak, Jacek, Páles, Zsolt

“… wide class of functional equations in single variable…”
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On a nonlinear sequential four-point fractional q-difference equation involving q-integral operators in boundary conditions along with stability criteria by Boutiara, Abdelatif, Etemad, Sina, Alzabut, Jehad, Hussain, Azhar, Subramanian, Muthaiah, Rezapour, Shahram

“…In this paper, we consider a nonlinear sequential q -difference equation based on the Caputo fractional quantum derivatives with nonlocal boundary value conditions containing Riemann…”
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Necessary Stability Conditions for Linear Difference Equations in Continuous Time by Campos, Emanuel Rocha, Mondie, Sabine, Di Loreto, Michael

“…A study on the stability of continuous-time difference equations is presented. Based on the construction of the analogous of the delay Lyapunov matrix…”
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Asymptotic stability of fractional difference equations with bounded time delays by Wang, Mei, Jia, Baoguo, Du, Feifei, Liu, Xiang

“… By these inequalities, the asymptotical stability conditions of Caputo and Riemann-Liouville fractional difference equation with bounded time delays are obtained…”
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Hyers-Ulam Stability to Linear Nonhomogeneous Quaternion-Valued Matrix Difference Equations via Complex Representation by Wang, Jiangnan, Wang, JinRong, Liu, Rui

“…This paper focuses on the Hyers-Ulam stability to linear nonhomogeneous quaternion-valued matrix difference equations via complex representation…”
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Ulam–Hyers–Rassias Stability of Neutral Functional Integrodifferential Evolution Equations with Non-instantaneous Impulses on an Unbounded Interval by Bensalem, Abdelhamid, Salim, Abdelkrim, Benchohra, Mouffak

“…In this paper, we investigate the existence and Ulam–Hyers–Rassias stability results for a class of functional integrodifferential evolution equations…”
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Hyers–Ulam stability of impulsive Volterra delay integro-differential equations by Refaai, D. A., El-Sheikh, M. M. A., Ismail, Gamal A. F., Abdalla, Bahaaeldin, Abdeljawad, Thabet

“…This paper discusses different types of Ulam stability of first-order nonlinear Volterra delay integro-differential equations with impulses…”
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On Stability for Non-Instantaneous Impulsive Delay Differential Equations: On Stability for Non-Instantaneous by Ma, Rui, Li, Mengmeng

“…Many phenomena in nature can be described by establishing differential equation models…”
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