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

• 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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• [10] Tripathy A.K., Oscillation properties of a class of neutral differential equations with positive and negative coefficients, Fasc. Math., 45(2010), 133-155.