Interval criteria for oscillation of second-order self-adjoint impulsive differential equations

DOI10.1090/PROC/14797zbMath1443.34031OpenAlexW2982696729WikidataQ126862489 ScholiaQ126862489MaRDI QIDQ5212414

Jitsuro Sugie

Publication date: 29 January 2020

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

Full work available at URL: https://doi.org/10.1090/proc/14797

zbMATH Keywords

integral averaging techniqueoscillation of solutionsimpulsegeneralized Riccati transformation

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Averaging method for ordinary differential equations (34C29) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (7)

Existence results for a self-adjoint coupled system of three nonlinear ordinary differential equations with cyclic boundary conditions ⋮ Existence results for a self-adjoint coupled system of nonlinear second-order ordinary differential inclusions with nonlocal integral boundary conditions ⋮ Numerical oscillation and non-oscillation analysis of the mixed type impulsive differential equation with piecewise constant arguments ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The least possible impulse for oscillating all nontrivial solutions of second-order nonoscillatory differential equations ⋮ On oscillatory and asymptotic behavior of higher order neutral differential equations with impulsive conditions

Cites Work

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• Oscillation theorems related to averaging technique for damped PDE with \(p\)-Laplacian
• Oscillation criteria for PDE with \(p\)-Laplacian involving general means
• Leighton Type Oscillation Criterion and Sturm Type Comparison Theorem
• Oscillation theorems for second order matrix differential systems
• Interval oscillation criteria for second order self-adjoint matrix differential systems with damping
• Oscillation criteria for second-order matrix differential systems

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