Oscillation of second order linear matrix difference equations
From MaRDI portal
Publication:1174300
DOI10.1016/0022-0396(91)90111-LzbMath0762.39005MaRDI QIDQ1174300
Publication date: 25 June 1992
Published in: Journal of Differential Equations (Search for Journal in Brave)
asymptotic behaviorRiccati equationoscillation resultssecond order linear matrix difference equation
Linear ordinary differential equations and systems (34A30) Additive difference equations (39A10) Discrete version of topics in analysis (39A12)
Related Items (25)
Oscillation of linear Hamiltonian systems ⋮ Oscillation of self-adjoint linear matrix Hamiltonian systems ⋮ Oscillation Results for Second-order Linear Equations on a Time Scale ⋮ A discrete interpretation of Reid's roundabout theorem for generalized differential systems ⋮ Oscillation results for second order scalar and matrix difference equations ⋮ Quadratic functionals for second order matrix equations on time scales ⋮ On the discrete Riccati equation and its applications to discrete Hamiltonian systems ⋮ Oscillation of symplectic dynamic systems ⋮ Nonnegativity and positivity of quadratic functionals in discrete calculus of variations: survey ⋮ Disconjugacy and transformations for symplectic systems ⋮ Oscillation results for linear second order matrix differential systems with damping ⋮ Oscillation of linear Hamiltonian systems. ⋮ Some differences between difference equations and differential equations ⋮ Oscillation Criteria for Hamiltonian Matrix Difference Systems ⋮ Oscillation results for linear matrix Hamiltonian systems ⋮ Spectral theory of higher-order discrete vector Sturm-Liouville problems ⋮ Interval criteria for oscillation of linear Hamiltonian systems ⋮ Weyl--Titchmarsh theory for a class of discrete linear Hamiltonian systems ⋮ New oscillation criteria for linear matrix Hamiltonian systems ⋮ Spectral theory of second-order vector difference equations ⋮ Trigonometric transformations of symplectic difference systems ⋮ Oscillation of self-adjoint second-order vector difference equations to the parameter ⋮ Averaging techniques for self-adjoint matrix equations on a measure chain ⋮ Oscillation results for linear Hamiltonian systems. ⋮ Oscillation criteria for second-order matrix dynamic equations on a time scale
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Volterra-Stieltjes integral equations and generalized ordinary differential expressions
- Riccati type transformations for second-order linear difference equations
- Oscillation theory for generalized second-order differential equations
- Riccati techniques and discrete oscillations
- A discrete interpretation of Reid's roundabout theorem for generalized differential systems
- Disconjugacy
- Atkinson’s Superlinear Oscillation Theorem for Matrix Difference Equations
- Matrix Analysis
- Oscillatory Second Order Linear Difference Equations and Riccati Equations
- Riccati Techniques and Variational Principles in Oscillation Theory for Linear Systems
- Growth, Oscillation and Comparison Theorems for Second Order Linear Difference Equations
- Growth and Oscillation Properties of Second Order Linear Difference Equations
- Difference Equations: Disconjugacy, Principal Solutions, Green's Functions, Complete Monotonicity
- On Non-Oscillatory Linear Differential Equations of Second Order
This page was built for publication: Oscillation of second order linear matrix difference equations
