Some oscillation problems for a second-order linear delay differential equation

DOI10.1006/jmaa.1997.5879zbMath0915.34064OpenAlexW2040803490WikidataQ115395401 ScholiaQ115395401MaRDI QIDQ1270865

Leonid Berezansky, Elena Braverman

Publication date: 24 January 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5879

zbMATH Keywords

oscillationsnonnegative solutionsfundamental functionRiccati inequalitySturm comparison theoremscalar linear delay differential equation

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Oscillation theory of functional-differential equations (34K11)

Related Items (13)

Positive solutions of second-order delay differential equations with a damping term ⋮ Unnamed Item ⋮ On the solutions of a system of linear retarded and advanced differential equations by the Bessel collocation approximation ⋮ Oscillation of a second-order delay differential equation with middle term ⋮ Asymptotic integration of a certain second-order linear delay differential equation ⋮ On non-oscillation on semi-axis of solutions of second order deviating differential equations ⋮ Nonoscillation of second-order dynamic equations with several delays ⋮ The use of polynomial spline functions for the solution of system of second order delay differential equations ⋮ An \(hp\)-version of the discontinuous Galerkin time-stepping method for nonlinear second-order delay differential equations with vanishing delays ⋮ Oscillatory criteria for the second order linear functional - differential equations with locally integrable coefficients ⋮ On oscillation of a second order impulsive linear delay differential equation ⋮ Oscillation properties of a logistic equation with several delays ⋮ On equations with delay depending on solution

Cites Work

• A comparison result in oscillation theory
• Comparison theorems for delay differential equations
• Oscillatory and asymptotic behavior of the bounded solutions of differential equations with deviating arguments
• Oscillation theorems for second-order functional differential equations
• Oscillatory and asymptotic behavior of second and third order retarded differential equations
• Sturm-type comparison theorems for first- and second-order differential equations with delays of variable sign
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