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Bedingungen für die Existenz oszillatorischer Lösungen der Gleichung \(x''' +a(t)x''+b(t)x'+c(t)x=0\), \(c(t)\geq 0\). (German) Zbl 0316.34031

MSC:
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34A30 Linear ordinary differential equations and systems
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[1] GERA M.: Über einige Eigenschaften der Lösungen der Gleichung x”’ + a(t)x” + b(t)x’ + c(t)x = 0, c(t) \geq 0. Mat. Čas., 24, 1974, 357-370. · Zbl 0324.34026
[2] LAZER A. C.: The behavior of solutions of the differential equation y” + p(x)y’ + q(x)y = 0. Pac. J. Math., 17, 1966, 435-466. · Zbl 0143.31501
[3] HANAN M.: Oscillation criteria for third-order linear differential equations. Pac. J. Math., 11, 1961, 919-944. · Zbl 0104.30901
[4] CAHCOHE, Дж.: Обыкновенные дифференциальные уравнения. T. 1. Москва 1953 · Zbl 1151.94459
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[6] GREGUŠ M.: O oscilatoričnosti riešení diferenciálnej rovnice tretieho rádu. Sborník družby pěti bratrských universit Kyjev, Krakov, Debrecín, Bratislava, Brno 1966, 146-150.
[7] RÁB M.: Oscilační vlastnosti integrálů diferenciální rovnice 3. řádu. Práce Brněnské základny Českoslov. akad. věd XXVII, 1955, 349-360.
[8] ZLÁMAL M.: Asymptotic properties of the solutions of the third order linear differential equations. Publ. Fac. Sci. Univ. Masaryk, 1951/6, č. 329, 159-167.
[9] DOLAN J. M.: On the relationship between the oscillatory behavior of a linear third-order differential equation and its adjoint. J. diff. Eqs., 7, 1970, 367-388. · Zbl 0191.10001
[10] ХАРТМАН Ф.: Обыкновенные дифференциальные уравнения. Москва 1970
[11] RÁB M.: Kriterien für die Oszillation der Lösungen der Differentialgleichung [p(x)y’Y]’ + q(x)y = 0. Časop. pěstov. mat., 84, 1959, 335-370. · Zbl 0087.29505
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