Oscillation criteria for a forced second-order nonlinear dynamic equation

DOI10.1080/10236190802332175zbMath1168.34025OpenAlexW2121427858MaRDI QIDQ3534864

Lynn H. Erbe, Samir H. Saker, Allan C. Peterson

Publication date: 5 November 2008

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190802332175

zbMATH Keywords

oscillationtime scalesecond-order nonlinear dynamic equationsforced Emden-Fowler type

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Additive difference equations (39A10)

Related Items

Interval oscillation criteria for forced Emden-Fowler functional dynamic equations with oscillatory potential ⋮ Interval oscillation criteria for second-order nonlinear forced dynamic equations with damping on time scales ⋮ Kamenev-type oscillation criteria of second-order nonlinear dynamic equations on time scales ⋮ Forced oscillation of second-order half-linear dynamic equations on time scales ⋮ Generalized variational principles on oscillation for nonlinear nonhomogeneous differential equations ⋮ Interval oscillation criteria of second-order nonlinear dynamic equations on time scales ⋮ New criteria for global asymptotic stability of direct-form digital filters utilizing single saturation nonlinearity ⋮ Interval oscillation criteria for second-order forced functional dynamic equations on time scales

Cites Work

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• Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Oscillation criteria for a forced second-order linear differential equation
• Oscillation of nonlinear dynamic equations on time scales.
• Oscillation of an Euler-Cauchy dynamic equation
• Dynamic equations on time scales: A survey
• A necessary and sufficient condition for oscillation of the Sturm-Liouville dynamic equation on time scales
• Oscillation criteria for second-order matrix dynamic equations on a time scale
• Oscillation criteria for second-order nonlinear neutral delay dynamic equations
• Oscillation of second order nonlinear dynamic equations on time scales
• Oscillation criteria of second-order half-linear dynamic equations on time scales
• Comparison theorems for linear dynamic equations on time scales.
• On the Generalized Emden–Fowler Equation
• Sufficient conditions for the oscillation of forced super-linear second order differential equations with oscillatory potential
• Boundedness and oscillation for nonlinear dynamic equations on a time scale
• Oscillation Properties of an Emden-Fowler Type Equation on Discrete Time Scales
• OSCILLATION CRITERIA FOR SECOND-ORDER NONLINEAR DYNAMIC EQUATIONS ON TIME SCALES