Oscillation of third-order functional differential equations
By B. Baculíková, Jozef Dzurina. 2010
80 citations recorded by the source corpus.
The aim of this paper is to study oscillatory and asymptotic properties of the third-order nonlinear delay differential equation (E) ˆ a(t) ˆ x ′′(t) ̃ γ ̃ ′ + q(t)f(x [τ (t)]) = 0. Applying suitable comparison theorems we present new criteria for oscillation or certain asymptotic behavior of nonoscillatory solutions of (E). Obtained results essentially improve and complement earlier ones. Various examples are considered to illustrate the main results.
Subfields: Applied Mathematics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/ae84ba07a040ef2142b270e8756a8a1fac129385
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In Applied Mathematics
In Numerical Analysis
Citations in the corpus
- On the oscillation of third-order quasi-linear neutral functional differential equations (2011, unknown): “[3] Baculíková, B., Džurina, J., Oscillation of third-order nonlinear differential equations, Appl.”
- On the asymptotic behavior of a class of third order nonlinear neutral differential equations (2010, background): “The present authors in [8] provide a general asymptotic classification of solutions of (E0) and extend, correct, and improve oscillation criteria for (E0) presented in [10].”