Some notes on one oscillatory condition of neutral differential equations

• Autorzy: Božena Mihalíková , Eva Chomová
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to present sufficient conditions for all bounded solutions of the second order neutral differential equations of the form
(r(t)(x(t) - px(t-τ))')' - q(t)f(x(σ(t))) = 0
to be oscillatory and to compare some existing results.

Słowa kluczowe

EN

neutral equation; oscillatory solution

Kategorie tematyczne

• 34C10: Oscillation theory, zeros, disconjugacy and comparison theory
• 34C15: Nonlinear oscillations, coupled oscillators

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
• Rocznik: 2006
• Tom: 26
• Numer: 1
• Strony: 103-112

Daty

wydano

2006

otrzymano

2005-07-08

Twórcy

autor

Božena Mihalíková

• Department of Mathematical Analysis, Faculty of Sciences, Šafárik University, Jesenná 5, 041 54 Košice, Slovakia

autor

Eva Chomová

• Department of Mathematical Analysis, Faculty of Sciences, Šafárik University, Jesenná 5, 041 54 Košice, Slovakia

Bibliografia

• [1] T.A. Čanturia and R.G. Koplatadze, On oscillatory properties of differential equations with deviating arguments, Tbilisi, Univ. Press, Tbilisi, 1977 (in Russian).
• [2] J. Džurina, On unstable neutral differential equations of the second order, Czech. Math. J. 52 (127) (2002), 739-747.
• [3] J. Džurina and D. Lacková, Oscillation results for second order nonlinear differential equations, CEJM 2 (1) (2004), 57-66.
• [4] L.H. Erbe, Q. Kong and B.G. Zhang, Oscillation theory for functional differential equations, Dekker, New York 1995.
• [5] G.B. Gustafson, Bounded oscillation of linear and nonlinear delay differential equations of even order, J. Math. Anal. Appl. 46 (1974), 175-189.
• [6] Š. Kulcsár, On the asymptotic behaviour of solutions of the second order neutral differential equations, Publ. Math. Debrecen 57 (1-2) (2000), 153-161.
• [7] G.S. Ladde, V. Lakshmikanthan and B.G. Zhang, Oscillation theory of differential equations with deviating arguments, Dekker, New York 1987.

Identyfikatory

DOI

10.7151/dmdico.1067