Oscillation of solutions of second order neutral differential equations with positive and negative coefficients

• Autorzy: Shoukaku Y.
• Języki publikacji: EN

Abstrakty

EN

In this paper we obtain oscillation criteria for solutions of homogeneous and nonhomogeneous cases of second order neutral differential equations with positive and negative coefficients. Our results improve and extend the results of Manojlović, Shoukaku, Tanigawa and Yoshida [6].

Słowa kluczowe

EN

second order neutral differential equations; oscillation; positive and negative coefficients

PL

oscylacja; pozytywne i negatywne współczynniki

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2009
• Tom: Vol. 15, nr 2
• Strony: 281--298
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Shoukaku Y.

• Faculty of Engineering Kanazawa University Kakuma, Kanazawa,

Bibliografia

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• [3] Karpuz, B., Manojlović, J., Öcalan, Ö., Shoukaku, Y., Oscillation criteria for a class of second order neutral delay differential equations, Appl. Math. Compt. 210 (2009), 303-312.
• [4] Koplatadze, R., Kvinikadze, G., Stavroulakis, I. P., Oscillation of second order linear delay differential equations, Funct. Differ. Equ. 7 (2000), 121-145.
• [5] Kusano, T., Naito, M., Nonlinear oscillation of second rder differential equations with retarded arguments, Ann. Mat. Pura Appl. (4) 106 (1975), 171-185.
• [6] Manojlović, J., Shoukaku, Y., Tanigawa, T., Yoshida, N., Oscillation criteria for second order differential equations with positive and negative coefficients, Appl. Math. Comput. 181 (2006), 853-863.
• [7] Manojlović, J., Shoukaku, Y., Tanigawa, T., Yoshida, N., Oscillatory behavior of second order neutral differential equations with positive and negative coefficients, Appl. Appl. Math. 3 (2008), 1-17.
• [8] Parhi, N., Chand, S,, Oscillation of second order neutral delay differential equations with positive and negative coefficients, J. Indian Math. Soc. (N.S.) 66 (1999), 227-235.
• [9] Shen, J. H., Stavroulakis, I. P., Tang, X. H., Hille type oscillation and nonoscillation criteria for neutral equations with positive and negative coefficients, Stud. Univ. Žilina Math. Ser. 14 (2001), 45-59.
• [10] Tanaka, S., Oscillation criteria for a class of second order forced neutral differential equations, Math. J. Toyama Univ. 27 (2004), 71-90.
• [11] Weng, A., Sun, J., Oscillation of second order delay differential equations, Appl. Math. Comput. 198 (2007), 930-935.