Geodesic
Instability of solutions for nonlinear functional differential equations of fifth order with n-deviating arguments
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2012), pp. 3-14.

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In this paper, we study the instability properties of solutions of a class of nonlinear functional differential equations of the fifth order with n-constant deviating arguments. By using the Lyapunov–Krasovskii functional approach, we obtain some interesting sufficient conditions ensuring that the zero solution of the equations is unstable. 
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Cemil Tunç. Instability of solutions for nonlinear functional differential equations of fifth order with n-deviating arguments. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2012), pp. 3-14. https://geodesic-test.mathdoc.fr/item/BASM_2012_1_a0/

[1] Èl'sgol'ts L. È., Introduction to the theory of differential equations with deviating arguments, Translated from the Russian by Robert J., McLaughlin Holden-Day, Inc., San Francisco, Calif.–London–Amsterdam, 1966 | MR

[2] Ezeilo J. O. C., “Instability theorems for certain fifth-order differential equations”, Math. Proc. Cambridge Philos. Soc., 84:2 (1978), 343–350 | DOI | MR | Zbl

[3] Ezeilo J. O. C., “A further instability theorem for a certain fifth-order differential equation”, Math. Proc. Cambridge Philos. Soc., 86:3 (1979), 491–493 | DOI | MR | Zbl | Zbl

[4] Ezeilo J. O. C., “Extension of certain instability theorems for some fourth and fifth order differential equations”, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur., 66:4 (1979), 239–242 | MR | Zbl

[5] Krasovskii N. N., Stability of motion. Applications of Lyapunov's second method to differential systems and equations with delay, Translated by J. L. Brenner, Stanford University Press, Stanford, Calif., 1963 | MR | Zbl

[6] Li Wen-jian, Duan Kui-chen, “Instability theorems for some nonlinear differential systems of fifth order”, J. Xinjiang Univ. Natur. Sci., 17:3 (2000), 1–5 | MR

[7] Li W. J., Yu Y. H., “Instability theorems for some fourth-order and fifth-order differential equations”, J. Xinjiang Univ. Natur. Sci., 7:2 (1990), 7–10 (Chinese) | MR

[8] Sadek A. I., “Instability results for certain systems of fourth and fifth order differential equations”, Appl. Math. Comput., 145:2–3 (2003), 541–549 | DOI | MR | Zbl

[9] Sun W. J., Hou X., “New results about instability of some fourth and fifth order nonlinear systems”, J. Xinjiang Univ. Natur. Sci., 16:4 (1999), 14–17 (Chinese) | MR | Zbl

[10] Tiryaki A., “Extension of an instability theorem for a certain fifth order differential equation”, J. Karadeniz Tech. Univ. Fac. Arts Sci. Ser. Math.-Phys., 11, National Mathematics Symposium (Trabzon, 1987) (1988), 225–227 | MR | Zbl

[11] Tunç C., “On the instability of solutions of certain nonlinear vector differential equations of fifth order”, Panamer. Math. J., 14:4 (2004), 25–30 | MR | Zbl

[12] Tunç C., “An instability result for a certain non-autonomous vector differential equation of fifth order”, Panamer. Math. J., 15:3 (2005), 51–58 | MR | Zbl

[13] Tunç C., “Further results on the instability of solutions of certain nonlinear vector differential equations of fifth order”, Appl. Math. Inf. Sci., 2:1 (2008), 51–60 | MR | Zbl

[14] Tunç C., “Recent advances on instability of solutions of fourth and fifth order delay differential equations with some open problems”, World Scientific Review, World Scientific Series on Nonlinear Science Series B (Book Series), 9, 2011, 105–116

[15] Tunç C., “On the instability of solutions of some fifth order nonlinear delay differential equations”, Appl. Math. Inf. Sci., AMIS, 5:1 (2011), 112–121 | MR | Zbl

[16] Tunç C., “An instability theorem for a certain fifth-order delay differential equation”, Filomat., 25:3 (2011), 145–151 | DOI | MR | Zbl

[17] Tunç C., “On the instability of solutions of nonlinear delay differential equations of fourth and fifth order”, Sains Malaysiana, 40:12 (2011), 1455–1459 | Zbl

[18] Tunç C., Erdogan F., “On the instability of solutions of certain non-autonomous vector differential equations of fifth order”, SUT J. Math., 43:1 (2007), 35–48 | MR | Zbl

[19] Tunç C., Karta M., “A new instability result to nonlinear vector differential equations of fifth order”, Discrete Dyn. Nat. Soc., 2008 (2008), Art. ID 971534, 6 pp. | MR

[20] Tunç C., Sevli H., “On the instability of solutions of certain fifth order nonlinear differential equations”, Mem. Differential Equations Math. Phys., 35 (2005), 147–156 | MR | Zbl