Stability criteria for nonlinear Volterra integro-dynamic matrix Sylvester systems on measure chains

DOI10.1186/S13662-021-03665-6zbMath1494.45003OpenAlexW4200158691MaRDI QIDQ2167301

B. V. Appa Rao, Sreenivasulu Ayyalappagari

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03665-6

zbMATH Keywords

stabilitytimescalesnonlinear Volterra integro-dynamic equation

Mathematics Subject Classification ID

Stability theory for integral equations (45M10) Volterra integral equations (45D05) Dynamic equations on time scales or measure chains (34N05) Real analysis on time scales or measure chains (26E70)

Cites Work

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• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Basic qualitative and quantitative results for solutions to nonlinear dynamic equations on time scales with an application to economic modelling
• Stability for time varying linear dynamic systems on time scales
• Uniqueness of solution for higher-order nonlinear fractional differential equations with multi-point and integral boundary conditions
• Impulsive Caputo-Fabrizio fractional differential equations in \(b\)-metric spaces
• $F$-contraction mappings on metric-like spaces in connection with integral equations on time scales
• Metric-like spaces to prove existence of solution for nonlinear quadratic integral equation and numerical method to solve it
• Controllability and Observability of Sylvester Matrix Dynamical Systems on Time Scales
• CONDITIONING OF THREE-POINT BOUNDARY VALUE PROBLEMS ASSOCIATED WITH FIRST ORDER MATRIX LYAPUNOV SYSTEMS
• PRINCIPAL MATRIX SOLUTIONS AND VARIATION OF PARAMETERS FOR VOLTERRA INTEGRO-DYNAMIC EQUATIONS ON TIME SCALES
• Transition matrix and generalized matrix exponential via the Peano-Baker series
• ON Ψ-INSTABILITY OF NON-LINEAR MATRIX LYAPUNOV SYSTEMS
• ON DICHOTOMY AND CONDITIONING FOR TWO-POINT BOUNDARY VALUE PROBLEMS ASSOCIATED WITH FIRST ORDER MATRIX LYAPUNOV SYSTEMS
• On ψ-bounded solutions for non-homogeneous matrix lyapunov systems on r
• On the stability of linear dynamic systems on time scales
• Existence of Ψ-bounded solutions for sylvester matrix dynamical systems on time scales
• On Controllability of Fuzzy Dynamical Matrix Lyapunov Systems
• A solution to nonlinear Volterra integro-dynamic equations via fixed point theory

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