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Zbl 1209.34042
Bacul{\'\i}ková, B.; Džurina, J.
Oscillation of third-order nonlinear differential equations. (English)
[J] Appl. Math. Lett. 24, No. 4, 466-470 (2011). ISSN 0893-9659

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.

MSC 2000:: *34C10 Qualitative theory of oscillations of ODE: Zeros, etc.

Keywords: third-order functional differential equations; oscillation; nonoscillation; comparison theorem

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