Oscillatory and asymptotic behavior of fourth order nonlinear neutral delay differential equations with positive and negative coefficients

• Autorzy: Tripathy A. K. , Panigrahi S , Basu R
• Języki publikacji: EN

Abstrakty

EN

In this paper, Oscillatory and asymptotic behaviour of solutions of a class of nonlinear fourth order neutral differential equations with positive and negative coefficients of the form (H) (r(t)(y(t) + p(t)y(t - τ))")" + q(t)G(y(t - α)) - h(t) H (y(t - β)) = 0 and (NH) (H) (r(t)(y(t) + p(t)y(t - τ))")" + q(t)G(y(t - α)) - h(t) H (y(t - β)) =f (t) are studied under the assumption ...[wzór] for various ranges of p(t). Using Schauder’s fixed point theorem, sufficient conditions are obtained for the existence of bounded positive solutions of (NH).

Słowa kluczowe

EN

functional differential equations; neutral; nonlinear; oscillation; positive and negative coefficients; asymptotic behavior

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2014
• Tom: Nr 52
• Strony: 155--174
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Tripathy A. K.

• Department of Mathematics Sambalpur University Sambalpur - 768 019, India

autor

Panigrahi S

• Department of Mathematics and Statistics University of Hyderabad Hyderabad - 500 046, India

autor

Basu R

• Department of Mathematics and Statistics University of Hyderabad Hyderabad - 500 046, India

Bibliografia

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• [3] Gyori I., Ladas G., Oscillation Theory of Delay Differential Equation with Application, Claredon Press, Oxford, 1991.
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• [8] Parhi N., Chand S., On forced first order neutral differential equations with positive and negative coefficients, Math. Slovaca., 50(2000), 183-202.
• [9] Parhi N., Tripathy A.K., On oscillatory fourth order nonlinear neutral differential equations - II, Math. Slovaca., 55(2005), 183-202.
• [10] Tripathy A.K., Oscillation properties of a class of neutral differential equations with positive and negative coefficients, Fasc. Math., 45(2010), 133-155.