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The first conjugate point of solution of the N-th order iterated differential equation. (English) Zbl 0522.34029


MSC:

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

[1] Z. Hustý: O iteraci homogenních lineárních diferenciálních rovnic. Sborník VŠZ a les. fakulty v Brně, č. 4, 1956.
[2] O. Borůvka: Lineare Differentialtransformationen 2. Ordnung. VEB Deutscher Verlag der Wissenschaften, Berlin, 1967. · Zbl 0153.11201
[3] T. L. Sherman: Properties of solutions of \(N^{\text th}\) order linear differential equations. Pacific J. Math., Vol. 15, No. 3, 1965
[4] V. Vlček: Conjugate points of solutions of a fourth-order iterated linear differential equation. Acta UP Olom., F. R. N., Tom 53, 1977.
[5] V. Vlček: On a distribution of zeros of solutions of a fourth-order iterated linear differential equation. Acta UP Olom., F. R. N., Tom 57, 1978.
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