Oscillation properties of a class of nonlinear differential equations of neutral type

• Autorzy: Tripathy A. K. , Rao K V V S
• Języki publikacji: EN

Abstrakty

EN

Oscillatory and asymptotic behaviour of the solutions of a class of nonlinear rst order neutral delay dierential equa- tions with positive and negative coecients of the form E₁ ...[wzór] are studied under various ranges of p(t). Sufficient conditions are obtained for the existence of positive bounded solution of (E₂).

Słowa kluczowe

EN

oscillation; nonoscillation; neutral differential equation; asymptotic behaviour

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2012
• Tom: Nr 48
• Strony: 129--144
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Tripathy A. K.

• Tripathy Department of Mathematics Sambalpur University Sambalpur-768019, India

autor

Rao K V V S

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

Bibliografia

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• [3] Farrell K., Grove E.A., Ladas G., Neutral delay differential equations with positive and negative coefficients, Appl. Anal., 27(1988), 181-197. 
• [4] Gyori I., Ladas G., Oscillation Theory of Delay Differential Equations with Applications, Oxford University Press, 1991.
• [5] Li W., QüAN H.S., Oscillation of higher order neutral differential equations with positive and negative coefficients, Ann. Differential Eqns., 11(1995), 70-76.
• [6] Li W., Yan J., Oscillation of first order neutral differential equations with positive and negative coefficients, Collect. Math., 50(1999), 199-209.
• [7] Ocalan O., Oscillation of forced neutral differential equations with positive and negative coefficients, Compu. Math. Appl., 54(2007), 1411-1421.
• [8] Ocalan O., Oscillation of neutral differential equation with positive and negative coefficients, J. Math. Anal. Appl., 331(2007), 644-654.
• [9] Parhi N., Chand S., On forced first order neutral differential equations with positive and negative coefficients, Math. Slovaca, 50(2000), 81-94.
• [10] Shen J.H., Debnath L., Oscillations of solutions of neutral differential equations of solutions of neutral differential equaions with positive and negative coefficients, Appl. Math. Lett., 14(2001), 775-781.
• [11] Yu J.S., Wang Z., Neutral differential equations with positive and negative coefficients, Acta Math. Sinica, 34(1991), 517-523.
• [12] Zhang X., Yan J., Oscillation criteria for first order neutral differential equations with positive and negative coefficients, J. Math. Anal. Appl., (in print).