CONJUGACY AND DISCONJUGACY CRITERIA FOR SECOND ORDER LINEAR ORDINARY DIFFERENTIAL EQUATIONS

T. Chantladze, A. Lomtatidze and D. Ugulava

Address. T. Chantladze, D. Ugulava, N. Muskhelishvili Institute of Computational Mathematics, Georgian Academy of Sciences, 8, Akuri St., 380093 Tbilisi, GEORGIA

Alexander Lomtatidze, Department of Mathematical Analysis, Faculty of Sciences, Masaryk University, Janackovo nam. 2a, 662 95 Brno, CZECH REPUBLIC

E-mail: bacho@math.muni.cz

Abstract. Conjugacy and disconjugacy criteria are established for the equation $$ u''+p(t)u=0\,, $$ where $p:]-\infty,+\infty[\to]-\infty,+\infty[$ is a locally summable function.

AMSclassification. 34C10

Keywords. Second order equation, conjugacy criteria, disconjugacy criteria