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2014 Oscillation Criteria for Functional Dynamic Equations with Nonlinearities Given by Riemann-Stieltjes Integral
Yuangong Sun, Taher S. Hassan
Abstr. Appl. Anal. 2014(SI53): 1-9 (2014). DOI: 10.1155/2014/697526

Abstract

We present new oscillation criteria for the second order nonlinear dynamic equation [ r ( t ) ϕ γ ( x Δ ( t ) ) ] Δ + q 0 ( t ) ϕ γ ( x ( g 0 ( t ) ) ) + a b q ( t , s ) ϕ α ( s ) ( x ( g ( t , s ) ) ) Δ ζ ( s ) = 0 under mild assumptions. Our results generalize and improve some known results for oscillation of second order nonlinear dynamic equations. Several examples are worked out to illustrate the main results.

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Yuangong Sun. Taher S. Hassan. "Oscillation Criteria for Functional Dynamic Equations with Nonlinearities Given by Riemann-Stieltjes Integral." Abstr. Appl. Anal. 2014 (SI53) 1 - 9, 2014. https://doi.org/10.1155/2014/697526

Information

Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07022902
MathSciNet: MR3200801
Digital Object Identifier: 10.1155/2014/697526

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI53 • 2014
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