ASYMPTOTIC BEHAVIOUR OF SECOND ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH "MAXIMA"

Main Article Content

D. BAINOV
V. PETROV
V. PROYTCHEVA

Abstract




In the paper the asymptotic behaviour of nonoscillatory solutions of neutral equations with "maxima" is considered. Examples are given showing the difference between the equations with "maxima" and the corresponding neutral equations without "maxima".




Article Details

How to Cite
BAINOV, D., PETROV, V., & PROYTCHEVA, V. (1995). ASYMPTOTIC BEHAVIOUR OF SECOND ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH "MAXIMA". Tamkang Journal of Mathematics, 26(3), 267–275. https://doi.org/10.5556/j.tkjm.26.1995.4406
Section
Papers

References

D. D. Bainov, A. Zahariev, "Oscillating and asymptotic properties of a class of functional differential equations with maxima," Czechoslovak Math. J., 34 {1984), 247-251.

I. Gyori and G. Ladas, "Oscillation Theory of Delay Differential Equations," Clarendon Press, Oxford, 1991.

A. R. Magomedov, "On some problems of differential equations with "maxima"," Izv. Acad. Sci. Azerb. SSR, Ser. Phys-Techn. and Math. Sci., 108, No. 1(1977), 104-108 (in Russian).

E. P. Popov, Automatic Regulation and Control, Nauka, Moscow, 1966 (in Russian).

Yu. A. Ryabov, A. R. Magomedov, Differential equations with maxima. Preprint No. 75, Bacou, 1983, Inst. of Physics Acad. Sci. Azerb. SSR (in Russian).

Yu. A. Ryabov, A. R. Magomedov, "On the periodic solutions of linear differential equations with maxima," Math. Physics Acad. Sci. Ukr. SSR, No. 23 {1978), 3-9 (in Russian).

H. D. Voulov, D. D. Bainov, "On the asymptotic stability of differential equations with "maxima"," Rend. Gire. Mat. Palermo, Serie II, Torno XI, (1991), 385-420.