Full entry |
PDF
(0.2 MB)
Feedback

two-dimensional differential system; proper solution; oscillatory system

References:

[1] Chantladze T., Kandelaki N., Lomtatidze, A : **Oscillation and nonoscillation criteria for a second order linear equation**. Georgian Math. J. 6 (1999), No. 5, 401–414. MR 1692963 | Zbl 0944.34025

[2] Chantladze T., Kandelaki N., Lomtatidze A.: **On oscillation and nonoscillation of second order half-linear equation**. Georgian Math. J. 7 (2000), No. 1, 329–346. MR 1779555

[3] Coppell W. A.: **Stability and asymptotic behaviour of differential equations**. Heat and Co., Boston, 1965.

[4] Hille E.: **Non-oscillation theorems**. Trans. Amer. Math. Soc.64 (1948), 234–252. MR 0027925 | Zbl 0031.35402

[5] Koplatadze R. G.: **Criteria for the oscillation of solutions of second order differential inequalities and equations with a retarded argument**. (Russian) Tbiliss. Gos. Univ. Inst. Prikl. Mat. Trudy 17 (1986), 104–121. MR 0853276

[6] Koplatadze R.: **On oscillatory properties of solutions of functional differential equations**. Mem. Differential Equations Math. Phys. 3 (1994), 1–179. MR 1375838 | Zbl 0843.34070

[7] Koplatadze R., Kvinikadze G., Stavroulakis I. P.: **Oscillation of second order linear delay differential equations**. Funct. Differ. Equ. 7 (2000), No. 1–2, 121–145. MR 1941863 | Zbl 1057.34077

[8] Koplatadze R., Partsvania N.: **Oscillatory properties of solutions of two-dimensional differential systems with deviated arguments**. (Russian) Differentsial’nye Uravneniya 33 (1997), No. 10, 1312–1320; translation in Differential Equations 33 (1997), No. 10, 1318–1326 (1998). MR 1668129

[9] Lomtatidze A.: **Oscillation and nonoscillation criteria for second order linear differential equation**. Georgian Math. J. 4 (1997), No. 2, 129–138. MR 1439591

[10] Lomtatidze A., Partsvania N.: **Oscillation and nonoscillation criteria for two-dimensional systems of first order linear ordinary differential equations**. Georgian Math. J. 6 (1999), No. 3, 285–298. MR 1679448 | Zbl 0930.34025

[11] Mirzov J. D.: **Asymptotic behavior of solutions of systems of nonlinear non-autonomous ordinary differential equations**. (Russian) Maikop 1993.

[12] Nehari Z.: **Oscillation criteria for second-order linear differential equations**. Trans. Amer. Math. Soc. 85 (1957), 428–445. MR 0087816 | Zbl 0078.07602

[13] Partsvania N.: **On oscillation of solutions of second order systems of deviated differential equations**. Georgian Math. J. 3 (1996), No. 6, 571–582. MR 1419836 | Zbl 0868.34054