Oscillation of third order functional dynamic equations with mixed arguments on time scales

DOI10.1007/S12190-009-0326-6zbMath1213.34115OpenAlexW2002987175MaRDI QIDQ711529

Taher S. Hassan, Lynn H. Erbe, Allan C. Peterson

Publication date: 26 October 2010

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-009-0326-6

zbMATH Keywords

oscillationtime scalesnonlinear functional dynamic equations

Mathematics Subject Classification ID

Oscillation theory of functional-differential equations (34K11) Dynamic equations on time scales or measure chains (34N05)

Related Items (12)

Oscillation criteria for third-order functional half-linear dynamic equations ⋮ Oscillation of third-order neutral differential equations with damping and distributed delay ⋮ Oscillation criteria for higher order nonlinear dynamic equations ⋮ Comparison criteria for odd order forced nonlinear functional neutral dynamic equations ⋮ Oscillation results for a fractional order dynamic equation on time scales with conformable fractional derivative ⋮ Comparison criteria for third order functional dynamic equations with mixed nonlinearities ⋮ OSCILLATORY AND ASYMPTOTIC CRITERIA OF THIRD ORDER NONLINEAR DELAY DYNAMIC EQUATIONS WITH DAMPING TERM ON TIME SCALES ⋮ Oscillatory behavior of solutions of third-order delay and advanced dynamic equations ⋮ Oscillatory and asymptotic properties on a class of third nonlinear dynamic equations with damping term on time scales ⋮ Qualitative analysis of dynamic equations on time scales ⋮ Hille and Nehari type criteria for third-order delay dynamic equations ⋮ Oscillation and asymptotic behavior of third-order nonlinear retarded dynamic equations

Cites Work

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• Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales
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• Hille and Nehari type criteria for third-order dynamic equations
• Oscillation criteria for half-linear dynamic equations on time scales
• A necessary and sufficient condition for oscillation of the Sturm-Liouville dynamic equation on time scales
• Oscillation of third order nonlinear delay dynamic equations on time scales
• Oscillation criteria for nonlinear damped dynamic equations on time scales
• Oscillation criteria for nonlinear functional neutral dynamic equations on time scales

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