Full entry |
PDF
(0.2 MB)
Feedback

nonoscillatory and oscillatory solution; second order Riccati equation

References:

[1] Barrett, J. H.: **Oscillation Theory of Ordinary Linear Differential Equation**. Advances in Math. 3 (1969), 415–509. MR 0257462

[2] Chanturiya, T. A. and Kiguradze, I. T.: **Asymptotic properties of solutions of nonautonomous ordinary differential equations**. Nauka, Moscow, 1990. (in Russian)

[3] Džurina, J.: **Asymptotic properties of third-order differential equations with deviating argument**. Czech. Math. J. 44 (1994), 163–172. MR 1257942

[4] Erbe, L.: **Existence of oscillatory solutions and asymtotic behavior for a class of a third order linear differential equations**. Pacific J. Math. 64 (1976), 369–385. MR 0435508

[5] Greguš, M.: **Linear differential equation of the third order**. Veda, Bratislava, 1981. (in Slovak) MR 0657356

[6] Hanan, M.: **Oscillation criteria for a third order linear differential equations**. Pacific J. Math. 11 (1961), 919–944. MR 0145160

[7] Heidel, J.W.: **Qualitative behavior of solutions of a third order nonlinear differential equation**. Pacific J. Math. 27 (1968), 507–526. MR 0240389 | Zbl 0172.11703

[8] Khvedelidze, N. N., Chanturiya, T. A.: **Oscillation of solutions of third-order linear ordinary differential equations**. Differencialnye Uravneniya 27 (1991), no. 3, 4, 452–460, 611–618. (in Russian) MR 1109137

[9] Kiguradze, I. T.: **On the oscillation of solutions of the equation $d^m/dt^m+a(t)|u|^n sign\,u= 0$**. Mat. Sb. 65 (1964), 172–187. (in Russian) MR 0173060 | Zbl 0135.14302

[10] Kiguradze, I. T.: **Some singular value problems for ordinary differential equations**. University Press, Tbilisi (1975). (in Russian) MR 0499402

[11] Lazer, A. C.: **The behavior of solutions of the differential equation $y^{\prime \prime \prime } + p(x)y^{\prime } + q(x)y = 0$**. Pacific J. Math. 17 (1966), 435–466. MR 0193332 | Zbl 0143.31501

[12] Rovder, J.: **Oscillation criteria for third-order linear differential equations**. Mat. Časopis 25 (1975), 231–244. MR 0412521 | Zbl 0309.34028

[13] Škerlík, A.: **Integral criteria of oscillation for a third order linear differential equation**. Math. Slovaca (to appear). MR 1387057

[14] Škerlík, A.: **Oscillation theorems for third order nonlinear differential equations**. Math. Slovaca 42 (1992), 471–484. MR 1195041

[15] Šoltés, V.: **Oscillatory properties of solutions of a third order nonlinear differential equations**. Math.Slovaca 26 (1976), 217–227. (in Russian)

[16] Swanson, C.A.: **Comparison and Oscillation Theory of Linear Differential Equations**. Academic Press, New York-London, 1968. MR 0463570 | Zbl 0191.09904