Summability methods for oscillation of linear second-order matrix differential equations

DOI10.1216/rmjm/1181072450zbMath0807.34042OpenAlexW2027060993MaRDI QIDQ1335203

William J. Coles, Michael K. Kinyon

Publication date: 27 September 1994

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072450

zbMATH Keywords

oscillation criteriaselfadjoint matrix equation

Mathematics Subject Classification ID

Matrix methods for summability (40C05) Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (14)

Oscillation theorems for self-adjoint matrix Hamiltonian systems ⋮ Oscillation criteria related to integral averaging technique for linear matrix Hamiltonian systems ⋮ Oscillation theorems for linear matrix Hamiltonian systems ⋮ Non-integral criterion for oscillations of linear Hamiltonian matrix systems ⋮ Oscillation theorems for self-adjoint matrix Hamiltonian systems involving general means ⋮ Interval oscillation criteria for linear Hamiltonian systems ⋮ Riccati techniques and oscillation for self-adjoint matrix Hamiltonian systems ⋮ Oscillation of nonlinear second order matrix differential equations ⋮ Oscillation criteria for matrix Hamiltonian systems via the summability method ⋮ On oscillation properties for linear Hamiltonian systems ⋮ Oscillation of linear second order matrix differential equations ⋮ Oscillation criteria for second order nonlinear differential equations involving general means ⋮ Oscillation criteria for linear matrix Hamiltonian systems ⋮ Interval criteria for oscillation of certain matrix differential systems

Cites Work

• Unnamed Item
• Oscillation for self-adjoint second order matrix differential equations
• Weighted means and oscillation conditions for second order matrix differential equations
• Summability criteria for oscillation of second order linear differential equations
• Riccati Techniques and Variational Principles in Oscillation Theory for Linear Systems
• On Nonoscillatory Linear Differential Equations of Second Order
• An Oscillation Criterion for Second-Order Linear Differential Equations
• On the oscillatory behavior of the solutions of second order linear differential equations
• Oscillation Theorems for Linear Second Order Ordinary Differential Equations
• A criterion of oscillatory stability
• On Non-Oscillatory Linear Differential Equations of Second Order

This page was built for publication: Summability methods for oscillation of linear second-order matrix differential equations