×
Regenda, Jan

Oscillatory and nonoscillatory properties of solutions of the differential equation \(y^{(4)}+P(t)y"+Q(t)y=0\). (English) Zbl 0406.34041

Math. Slovaca 28, 329-342 (1978).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0406.34041

Cited in 8 Documents

MSC:

34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations

Keywords:

Linear Differential Equation of Fourth Order; Oscillation
PDFBibTeX XMLCite
\textit{J. Regenda}, Math. Slovaca 28, 329--342 (1978; Zbl 0406.34041)
Full Text: EuDML

References:

[1] ŠVEC M.: On various properties of the solutions of third and fourth order linear differential equations. Proceedings of the conference held in Prague in September 1962.
[2] SWANSON C. A.: Comparison and Oscillation Theory of Linear Differential Equations. New York and London 1968. · Zbl 0191.09904
[3] SCHMEIDLER W.: Integralgleichung mit Anwendungen in Physik und Technik. Leipzig 1950. · Zbl 0035.34901
[4] GERA M.: Bedingungen der Nichtoszillationsfähigkeit für die lineare Differentialgleichung dritter Ordnung. Acta F.R.N. Univ. Comen. - Mathematica XXIII, 1969. · Zbl 0216.11303
[5] LEVIN A. Ju.: Neoscilacija rešenij uravnenija \(x^(n) + p_1(t)x^(n-1) +\cdots+ p_n(t) x = 0\). Uspechi mat. nauk XXIV, vyp. 2 (146), 1969.
[6] AHMAD SHAIR: On the oscillation of solutions of a class of linear fourth order differential equations. Pac. J. Math., 34, 1970. · Zbl 0176.20402
[7] LEIGHTON W., NEHARI ZEEV: On the oscillation of solutions of self-adjoint linear differential equations of the fourth order. Trans. Amer. Math. Soc, 89, 1958. · Zbl 0084.08104 · doi:10.2307/1993191
[8] PUDEI V.: O vlastnostech řešení diferenciální rovnice y(4) + p(t)y” + q(t)y = 0. Čas. Pěstov. Mat., 93, 1968.
[9] PUDEI V.: Über die Eigenschaften der Lösungen linear Differentialgleichungen gerader Ordnung. Čas. Pestov. Mat., 94, 1969. · Zbl 0193.04401
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.