Positive functionals and oscillation criteria for second order differential systems

DOI10.1017/S001309150001645XzbMath0429.34032OpenAlexW1976642059MaRDI QIDQ3866439

Roger T. Lewis, Garret J. Etgen

Publication date: 1979

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s001309150001645x

zbMATH Keywords

differential inequalitiesoscillation criteria

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Linear ordinary differential equations and systems (34A30) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Differential inequalities involving functions of a single real variable (34A40)

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Comparison theorems and non-oscillation for differential equations in a B∗-algebra ⋮ Unnamed Item ⋮ Nonnegative Solutions of a Quadratic Matrix Equation Arising from Comparison Theorems in Ordinary Differential Equations ⋮ Nonlinear functionals and a theorem of Sun ⋮ A non-oscillation theorem for differential matrix systems ⋮ Riccati Techniques and Variational Principles in Oscillation Theory for Linear Systems ⋮ Oscillation results for selfadjoint differential systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Self-adjoint, non-oscillatory systems of ordinary, second order, linear differential equations
• Oscillation criteria for second order self adjoint differential systems
• A comparison theorem and oscillation criteria for second order differential systems
• Oscillation and nonoscillation criteria for some self-adjoint even order linear differential operators
• Disconjugacy criteria for self-adjoint differential systems
• Oscillation of differential equations in Banach spaces
• Oscillation theory of ordinary linear differential equations
• Oscillation criteria for differential systems
• Oscillation of systems of second order differential equations
• Riccati differential equations
• Discrete and continuous boundary problems
• Riccati matrix differential equations and non-oscillation criteria for associated linear differential systems
• The Existence of Conjugate Points for Selfadjoint Differential Equations of Even Order
• Principal Quadratic Functionals
• Component properties of second order linear systems
• Conjugate Points of Vector-Matrix Differential Equations
• Oscillation Criteria for Matrix Differential Inequalities(¹)
• Oscillation Criteria for Matrix Differential Equations
• Oscillatory Properties of Certain Nonlinear Matrix Differential Systems of Second Order
• A Criterion for n-n Oscillations in Differential Equations of Order 2n
• Singular Quadratic Functionals of n Dependent Variables
• Oscillation of Nonlinear Matrix Differential Equations of Second Order
• Oscillation Criteria for Nonlinear Matrix Differential Inequalities
• Oscillation Criteria for Nonlinear Matrix Differential Equations
• Two Point Boundary Problems for Second Order Matrix Differential Systems
• Oscillation of Nonlinear Systems of Matrix Differential Equations
• Oscillation Criteria for Nonlinear Second Order Matrix Differential Equations

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