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Über einige Eigenschaften der Lösungen der Gleichung \(x'''+a(t)x''+b(t)x'+ c(t)x=0\), \(c(t)\geq 0\). (German) Zbl 0324.34026

MSC:
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for 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, 435 466. · Zbl 0143.31501
[2] ХАРТМАН Ф.: Обыкновєнныє дифферєнциальныє уравнения. Москва 1970
[3] ЛЕВИН А. Ю.: Неосцильяция решений уравнения \(x^{(n)}+p_{1}(t)x^{(n-1)}+\cdots +p_{n} (t) x=0\). Ycnexn matem. nayk, T. XXIV, вып. 2 (146), 1969, 43-96. · Zbl 0345.53035
[4] GERA M.: Bedingungen der Nichtoszillationsfähigkeit für die lineare Differentialgleic\?ung dritter Ordnung \(y''' + p_1(x)y'' + p_2(x)y' + p_3(x) y = 0\). Acta F. P. N. Univ. Comen. Mathematica, XXIII, 1969, 13-34. · Zbl 0216.11303
[5] GERA M.: Nichtoszillatorische und oszillatorisc\?e Differentialgleichungen dritter Ordnung. Čas. pěstov. Mat. 96, 1971, 278-293. · Zbl 0222.34034
[6] ШВЄЦ М.: Нєсколько замечаний о линєйном диффєренциальном уравнении третьего проядка. Чєхослов. матєм. ж. Т. 15 (90), 1965, 42-49.
[7] VILARI G.: Sul carattere oscilatorio delle solutioni delle equazioni differenziali lineari omogenee del torzo ordine. Boll. Univ. Mat. Ital. III. Ser. 13, 1958, 73-78.
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