Hyers-Ulam stability to linear nonhomogeneous quaternion-valued matrix difference equations via complex representation (Q6051247)

scientific article; zbMATH DE number 7752314

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English	Hyers-Ulam stability to linear nonhomogeneous quaternion-valued matrix difference equations via complex representation	scientific article; zbMATH DE number 7752314

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instance of

scholarly article

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title

Hyers-Ulam stability to linear nonhomogeneous quaternion-valued matrix difference equations via complex representation (English)

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Qualitative Theory of Dynamical Systems

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publication date

19 October 2023

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zbMATH Keywords

quaternion-valued matrix difference equations

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Hyers-Ulam stability

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complex representation

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MaRDI profile type

MaRDI publication profile

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cites work

Unit dual quaternion-based feedback linearization tracking problem for attitude and position dynamics

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Unit Quaternion-Based Output Feedback for the Attitude Tracking Problem

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Quaternionic functions and their applications in a viscous fluid flow

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Quaternions and particle dynamics in the Euler fluid equations

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Vector Sparse Representation of Color Image Using Quaternion Matrix Analysis

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Quaternion Collaborative and Sparse Representation With Application to Color Face Recognition

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Modeling human motion with quaternion-based neural networks

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Linear Quaternion Differential Equations: Basic Theory and Fundamental Results

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Q4628759

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An algorithm for solving linear nonhomogeneous quaternion-valued differential equations and some open problems

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Existence of periodic solutions to quaternion-valued impulsive differential equations

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Representation of solutions to linear quaternion differential equations with delay

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Relative Controllability of Quaternion Differential Equations with Delay

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Hyers-Ulam stability for linear quaternion-valued differential equations with constant coefficient

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Hyers-Ulam stability of linear quaternion-valued differential equations with constant coefficients via Fourier transform

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Linear quaternion-valued difference equations: Representation of solutions, controllability, and observability

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General theory of the higher-order quaternion linear difference equations via the complex adjoint matrix and the quaternion characteristic polynomial

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Hyers-Ulam stability of linear recurrence with constant coefficients over the quaternion skew yield

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Hyers-Ulam stability of linear homogeneous quaternion-valued difference equations

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Ulam's type stability of impulsive ordinary differential equations

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Hyers-Ulam stability of the linear recurrence with constant coefficients

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A uniform method to Ulam-Hyers stability for some linear fractional equations

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Ulam‐Hyers stability of Caputo fractional difference equations

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Hyers-Ulam stability of a system of first order linear recurrences with constant coefficients

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Connections between Hyers-Ulam stability and uniform exponential stability of discrete evolution families of bounded linear operators over Banach spaces

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Q4605884

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Stability analysis of the first order non-linear impulsive time varying delay dynamic system on time scales

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Existence, uniqueness and stability of solution to mixed integral dynamic systems with instantaneous and noninstantaneous impulses on time scales

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Bielecki-Ulam's types stability analysis of Hammerstein and mixed integro-dynamic systems of non-linear form with instantaneous impulses on time scales

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Q5154535

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Hyers-Ulam stability for a coupled system of fractional differential equation with \(p\)-Laplacian operator having integral boundary conditions

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Well‐posedness and Hyers‐Ulam results for a class of impulsive fractional evolution equations

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Stability analysis of a coupled system of nonlinear implicit fractional anti‐periodic boundary value problem

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Stability analysis of implicit fractional differential equation with anti-periodic integral boundary value problem

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Identifiers

zbMATH Open document ID

1526.39008

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Mathematics Subject Classification ID

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10.1007/S12346-023-00865-1

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Sitelinks

Mathematics(1 entry)

mardi Publication:6051247