Oscillation properties of a class of neutral differential equations with positive and negative coefficients

• Autorzy: Tripathy A. K.
• Języki publikacji: EN

Abstrakty

EN

In this paper, oscillatory and asymptotic property of solutions of a class of nonlinear neutral delay differential equations of the form (E) ...[wzór] and ...[wzór] are studied under the assumptions ...[wzór] and ...[wzór] for various ranges of p(t). Sufficient conditions are obtained for existence of bounded positive solutions of (E).

Słowa kluczowe

EN

oscillation; nonoscillation; neutral differential equation; existence of positive solutions; asymptotic behaviour

PL

oscylacja; równanie różniczkowe

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2010
• Tom: Nr 45
• Strony: 133--155
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Tripathy A. K.

• Department of Mathematics Kakatiya Institute of Technology and Science Warangal-506015, India,

Bibliografia

• [1] Bainov D.D., Mishev D.P., Oscillation Theory for Neutral Differential Equation with Delay, Hilger, Bristol, 1991.
• [2] Erbe L.H., Kong Q., Zhang B.G., Oscillation Theory for Functional Differential Equation, Dekker, New York, 1995.
• [3] Gyori I., Ladas G., Oscillation Theory for Delay Differential Equations with Applications, Oxford Univ. Press, London, 1991.
• [4] Kulenovic M.R.S., Hadziomerspahic S., Existence of nonoscillatory solution of second order linerar neutral delay equation, J. Math. Anal. Appl., 228(1998), 436-448.
• [5] Shen J., Tang X., New nonoscillation criteria for delay differential equations, J. Math. Anal. Appl., 290(2004), 1-9.
• [6] Tripathy A.K., Rao K.V.V.S., Oscillation properties of a class of nonlinear differential equation of neutral type, (communicated).
• [7] Yu Y., Wang H., Nonoscillatory solutions of second order nonlinear neutral delay equations, J. Math. Anal. Appl., 311(2005), 445-456.