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Article

Greguš, Michal ; Greguš, Michal, Jr.
On certain singular third order eigenvalue problem. (English). Archivum Mathematicum, vol. 39 (2003), issue 3, pp. 173-177
MSC: 34B05, 34B24, 34C10 | MR 2010717 | Zbl 1116.34306
Keywords:
singular eigenvalue problem; normal form of third order differential equation; zeros of nonoscillatory solutions
Summary:
In this paper a singular third order eigenvalue problem is studied. The results of the paper complete the results given in the papers [3], [5].
References:
[1] Elbert A., Takaši K., Naito M.: Singular eigenvalue problems for second order linear ordinary differential equations. Arch. Math. (Brno), T. 34 (1998), 59–72. MR 1629660 | Zbl 0914.34021
[2] Gera M.: Bedingungen der Nicht-oszillationsfähigkeit für die lineare Differentialgleichung dritter Ordnung. Mat. Čas. Slov. akad. vied, 21 (1971), 65–80. MR 0304769
[3] Greguš M.: On certain third order eigenvalue problem. CDDE Brno 2000, Masaryk University, Arch. Math. (Brno), T. 36 (2000), 461–464. MR 1822814 | Zbl 1090.34515
[4] Greguš M.: Third Order Differential Equations. D. Riedel Publishing Company, Dordrecht, Boston, Lancaster, Tokyo (1987). MR 0882545
[5] Greguš M., Jr.: On certain third order boundary value problems on infinite interval. CDDE Brno 2000, Masaryk University, Arch. Math. (Brno), T. 36 (2000), 465–468. MR 1822815 | Zbl 1090.34518
[6] Swanson C. A.: Comparison and oscillation theory of linear differential equations. Academic Press, New York and London 1968. MR 0463570 | Zbl 0191.09904
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