Oscillation of second-order nonlinear differential equations with a damping term
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This paper concerns the oscillation of solutions to the differential equation
(r(t)x'(t))' + p(t)x'(t) + q(t)g(x(t)) = 0,
where xg(x) > 0 for all x ≠ 0, r(t) > 0 for t ≥ t0 > 0. No sign conditions are imposed on p(t) and q(t). Our results solve the open problem posed by Rogovchenko , complement the results in Sun , and improve a number of existing oscillation criteria. Our main results are illustrated with examples.
CitationElabbasy, E. M., Hassan, T. S., & Saker, S. H. (2005). Oscillation of second-order nonlinear differential equations with a damping term. Electronic Journal of Differential Equations, 2005(76), pp. 1-13.
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