Oscillation Criteria for Functional Dynamic Equations with Nonlinearities Given by Riemann‐Stieltjes Integral

Yuangong Sun and Taher S. Hassan

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We present new oscillation criteria for the second order nonlinear dynamic equation [r(t)ϕγ(xΔ(t))]Δ+q0(t)ϕγ(x(g0(t)))+∫ab q(t,s)ϕα(s)(x(g(t,s)))Δζ(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.

Date: 2014
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https://doi.org/10.1155/2014/697526

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:697526

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