Czechoslovak Mathematical Journal, Vol. 49, No. 4, pp. 779-790, 1999

On oscillatory solutions of fourth order ordinary differential equations

Oleg Palumbiny

Department of Mathematics, Faculty of Material Sciences and Technology, Slovak University of Technology in Bratislava, Paulinska 16, 917 24 Trnava, Slovakia, e-mail

Abstract: The paper deals with the oscillation of a differential equation $L_4y+P(t)L_2y+Q(t)y\equiv0$ as well as with the structure of its fundamental system of solutions.

Keywords: linear differential equation, quasi-derivative, monotone solution, Kneser solution, oscillatory solution

Classification (MSC 1991): 34C10; Secondary 34D05

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