A modification of the Sturm’s theorem on separating zeros of solutions of a linear differential equation of the 2nd order. (English) Zbl 0429.34011


34A30 Linear ordinary differential equations and systems
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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[1] Borůvka O.: Lineare Differentialgleichungen 2. Ordnung. VEB, DVW, Berlin 1967, 218 pages. · Zbl 0193.04301
[2] Skidmore A., Leighton W.: On the Differential Equation y” + p(x). y =f(x). J. of Math. Anal. and Appl. 43, 46-55 (1973). · Zbl 0287.34031 · doi:10.1016/0022-247X(73)90256-4
[3] Stěpanov V. V.: Kurs diferenciálních rovnic. Přírodov. nakl., Praha 1952, 512 pages (
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