MR3012576
B. BACULÍKOVÁ and J. DŽURINA
B. BACULÍKOVÁ and J. DŽURINA
Property (A) and Oscillation of Third-Order Differential Equations with Mixed Arguments
Funkcialaj Ekvacioj. Serio Internacia
55
2012
239--253
http://fe.math.kobe-u.ac.jp/FE/FullPapers/55-2/55_239.pdf
http://www.ams.org/mathscinet-getitem?mr=MR3012576
In this paper we offer criteria for property (A) and the oscillation of the third-order nonlinear functional differential equation with mixed arguments $[a(t)[x'(t)]^\gamma]''+q(t)f(x[\tau(t)])+p(t)h(x[\sigma(t)])=0$, where $\int^\infty a^{-1/\gamma}(s)ds=\infty$. We deduce properties of the studied equations by establishing new comparison theorems so that property (A) and the oscillation are resulted from the oscillation of a set of the first order equations.
Third-order functional differential equations, Comparison theorem, Oscillation, Nonoscillation.
34K11, 34C10.
55-239
2012
Property (A) and Oscillation of Third-Order Differential Equations with Mixed Arguments
B. BACULÍKOVÁ and J. DŽURINA
B. BACULÍKOVÁ and J. DŽURINA
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