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Oscillation of third-order nonlinear differential equations. (English) Zbl 1209.34042
Summary: The objective of this work is to study oscillatory and asymptotic properties of the third-order nonlinear delay differential equation $$[a(t)[x^{\prime \prime }(t)]^\gamma ]^{\prime} + q(t)f(x[\tau (t)])=0. \tag{E}$$ Applying suitable comparison theorems, we present new criteria for oscillation or certain asymptotic behaviors of nonoscillatory solutions of (E). The results obtained essentially improve and complement earlier ones.

34C10Qualitative theory of oscillations of ODE: zeros, disconjugacy and comparison theory
Full Text: DOI
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