Property (B) and oscillation of third-order differential equations with mixed arguments

• Autorzy: Dzurina J , Baculikova B
• Języki publikacji: EN

Abstrakty

EN

In the paper we present sufficient conditions for property (B) and the oscillation of the third-order nonlinear functional differential equation with mixed arguments [α(t)[x(t)] ^γ]’=q(t)f(x[τ(t)])+p(t)h(x[σ(t)]), where ∫^∞α^-1/γ(s)ds=∞. We deduce properties of the studied equations by establishing new comparison theorems so that property (B) and the oscillation are resulted from the oscillation of suitable first order equations.

Słowa kluczowe

EN

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

PL

równanie różniczkowo funkcyjne trzeciego rzędu; twierdzenie porównawcze; drgania

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2013
• Tom: Vol. 19, nr 1
• Strony: 55--68
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Dzurina J

• Department of Mathematics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 04200 Košice, Slovakia

autor

Baculikova B

• Department of Mathematics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 04200 Košice, Slovakia

Bibliografia

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