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On some properties of third-order linear differential equation. (English) Zbl 0351.34020

MSC:
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34D05 Asymptotic properties of solutions to ordinary differential equations
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References:
[1] LAZER A. C.: The behavior of solutions of the differential equation \(y''' + p(x)y' + q(x)y = 0\). Pacif. J. Math., 17, 1966, 435-465. · Zbl 0143.31501
[2] LAZER. A. C., AHMAD SHAIR: On the oscillatory behavior of a class of linear third order differential equations. J. Math. Anal. Appl., 28, 1969, 681-689. · Zbl 0167.07903
[3] GREGUŠ M.: Oszillatorische Eigenschaften der Lösungen der linear Differentialgleichungen dritter Ordnung \(y'" + 2Ay' + (A' + b)y = 0\), wo \(A=A(x) \leqq 0\) ist. Czech. Math. J. (84), 9, 1959, 416-428. · Zbl 0093.08801
[4] GREGUŠ M.: Über einige Eigenschaften der Lösungen der Differentialgleichungen \(y''' + 2Ay' - (A' + b)y = 0\), \(A \leq 0\). Czech. Math. J., 11 (86), 1961, 106-114. · Zbl 0099.06702
[5] HANAN M.: Oscillation critena for third-order linear differential equation. Pacif. J. Math., 11, 1961, 914-944. · Zbl 0104.30901
[6] MORAVSKÝ L.: Einige oszillatorische und asymptotische Eigenschaften der Lösungen der Differentialgleichung \(y''' + p(x)y" + 2A(x)y' + (A'(x) + b(x))y = 0. Act r.R.N. Univ. Comen. - Mathematica. XVI, 1967.\) · Zbl 0226.34029
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