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Oscillation Criteria for Functional Dynamic Equations with Nonlinearities Given by Riemann-Stieltjes Integral
Journal article   Open access  Peer reviewed

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

Yuangong Sun and Taher S. Hassan
Abstract and applied analysis, Vol.2014, pp.1-9
01/01/2014
DOI: https://doi.org/10.1155/2014/697526

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We present new oscillation criteria for the second order nonlinear dynamic equation [r(t)phi(gamma)(x(Delta)(t))](Delta) + q(0)(t)phi(gamma)(x(g(0)(t))) + integral(b)(a)q(t, s)phi(alpha(s))(x(g(t, s)))Delta zeta(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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https://doi.org/10.1155/2014/697526View
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