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differential equations of fourth order; boundedness; stability; Lyapunov functions

References:

[1] Barbashin E. A.: Liapunov’s Function. : **Science**. 1970.

[2] Chukwu E. N.: **On the boundedness of a certain fourth-order differential equation**. J. London Math. Soc. (2) 11, 3 (1975), 313–324. MR 0390396

[3] Ezeilo J. O. C. , Tejumola H. O.: **On the boundedness and the stability properties of solutions of certain fourth order differential equation**. Ann. Mat. Pure. Apl. (IV) 95 (1973), 131–145. MR 0425275

[4] Hu C. Y.: **The stability in the large for certain fourth order differential equations**. Ann. Differential Equations 8, 4 (1992), 422–428. MR 1215987 | Zbl 0776.34040

[5] Ponzo P. J.: **On the stability of certain nonlinear differential equations**. IEEE Trans. Automatic Control 10 (1965), 470–472. MR 0188554

[6] Reissig R., Sansone G., Conti R.: Nonlinear Differential Equations of Higher Order. : **Noordhoff, Groningen**. 1974.

[7] Tunç C.: **A note on the stability and boundedness results of solutions of certain fourth order differential equations**. Appl. Math. Comp. 155, 3 (2004), 837–843. MR 2078694

[8] Wu X., Xiong K.: **Remarks on stability results for the solutions of certain fourth-order autonomous differential equations**. Internat. J. Control. 69, 2 (1998), 353–360. MR 1684744 | Zbl 0934.34039