Ulam's type stability of delayed discrete system with second-order differences

DOI10.1007/s12346-023-00868-yzbMath1530.39010OpenAlexW4387186031MaRDI QIDQ6051244

Michal Fečkan, JinRong Wang, Mao-song Yang

Publication date: 19 October 2023

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-023-00868-y

zbMATH Keywords

Ulam's type stabilitysecond-order differencedelayed discrete matrix functionsdelayed linear discrete systems

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Matrix exponential and similar functions of matrices (15A16) Stability theory for difference equations (39A30)

Cites Work

• Ulam's type stability of impulsive ordinary differential equations
• On the Hyers-Ulam stability of certain nonautonomous and nonlinear difference equations
• Hyers-Ulam stability of the first-order matrix difference equations
• The \(z\)-transform method for the Ulam stability of linear difference equations with constant coefficients
• Representation of the solutions of linear discrete systems with constant coefficients and two delays
• Representation of solutions to delayed linear discrete systems with constant coefficients and with second-order differences
• Hyers-Ulam stability of loxodromic Möbius difference equation
• Bielecki-Ulam's types stability analysis of Hammerstein and mixed integro-dynamic systems of non-linear form with instantaneous impulses on time scales
• Hyers-Ulam stability of non-autonomous and nonsingular delay difference equations
• Relative controllability for delayed linear discrete system with second-order differences
• Hyers-Ulam stability for quantum equations of Euler type
• Hyers-Ulam stability and best constant for Cayley \(h\)-difference equations
• Further results on Ulam stability for a system of first-order nonsingular delay differential equations
• Best constant for Hyers-Ulam stability of second-order \(h\)-difference equations with constant coefficients
• Existence, uniqueness and stability of solution to mixed integral dynamic systems with instantaneous and noninstantaneous impulses on time scales
• Stability analysis of the first order non-linear impulsive time varying delay dynamic system on time scales
• On Ulam stability of a linear difference equation in Banach spaces
• On the novel Ulam-Hyers stability for a class of nonlinear \(\psi\)-Hilfer fractional differential equation with time-varying delays
• Representation of solutions of discrete delayed system \(x(k+1)=Ax(k)+Bx(k-m)+f(k)\) with commutative matrices
• Representation of solutions of linear discrete systems with constant coefficients and pure delay
• Hyers-Ulam stability of the linear recurrence with constant coefficients
• Hyers--Ulam--Rassias stability of a linear recurrence
• Ulam-Hyers stability of Caputo type fuzzy fractional differential equations with time-delays
• Stability of a nonlinear fractional Langevin system with nonsingular exponential kernel and delay control
• Ulam-Hyers stability of Caputo-type fractional fuzzy stochastic differential equations with delay
• On the Stability of the Linear Mapping in Banach Spaces
• Hyers-Ulam stability of Pielou logistic difference equation
• Hyers-Ulam stability of hyperbolic Möbius difference equation
• Ulam-Hyers stability results for a novel nonlinear Nabla Caputo fractional variable-order difference system
• Hyers-Ulam stability of elliptic Möbius difference equation
• On the Stability of the Linear Functional Equation
• Hyers-Ulam Stability of Ordinary Differential Equations
• Generalized UH-stability of a nonlinear fractional coupling \((p_1,p_2)\)-Laplacian system concerned with nonsingular Atangana-Baleanu fractional calculus
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