Existence of Ψ-bounded solutions for sylvester matrix dynamical systems on time scales

DOI10.2298/FIL1812209RzbMath1499.74045MaRDI QIDQ5087804

B. V. Appa Rao, Krosuri Anjaneya Siva Naga Vara Prasad

Publication date: 1 July 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

fundamental matrixtime scales\(\Psi\)-bounded solutionsLebesgue \(\Psi\)-deltaintegrableSylvester matrix dynamical systems

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11) Existence of solutions of dynamical problems in solid mechanics (74H20) Dynamic equations on time scales or measure chains (34N05)

Related Items (2)

Stability criteria for nonlinear Volterra integro-dynamic matrix Sylvester systems on measure chains ⋮ Stability and controllability for Volterra integro-dynamical matrix Sylvester impulsive system on time scales

Cites Work

• On \(\Psi\)-boundedness and \(\Psi\)-stability of matrix Lyapunov systems
• Existence of \(\psi\)-bounded solutions for linear difference equations
• On asymptotic equivalence of the bounded solutions of two systems of differential equations
• EXISTENCE OF Ψ-BOUNDED SOLUTIONS FOR LINEAR MATRIX DIFFERENCE EQUATIONS ON Z+
• On ψ-bounded solutions for non-homogeneous matrix lyapunov systems on r
• First order difference system- existence and uniqueness
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