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Disconjugacy criteria for linear vector differential equations. (English) Zbl 0354.34015

MSC:
34A30 Linear ordinary differential equations and systems
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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References:
[1] BRINK J.: Inequalities involving \(\| f \|\) and \(\| f(n)\|_q\) for \(f\) with \(n\) zeros. Pacif. J. Math. 42,2, 1972, 289-311. · Zbl 0218.26012
[2] GERA M.: К вопросу о неосцилляции и осцилляции линейного дифференциального уравнения порядка п. Вестник Моск. Универ. мат. мех. 3, 1973, 3-11.
[3] HARTMAN P.: Principal solutions of disconjugate n-th order differential equations. Amer. J. Math. 91,2, 1969, 306-362. · Zbl 0184.11603
[4] LASOTA A., OPIAL Z.: L’existence et l’unicité des solutions du probléme d’interpolation pour l’équation différentielle ordinaire d’ordre n. Ann. Polon. Math. 15, 1964, 253-271. · Zbl 0145.10401
[5] MARTELLI M.: Sul criterio di unicita di de la Vallée Poussin. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 8 (45), 1968, 7-12. · Zbl 0167.37303
[6] SANSONE G.: Ordinary differential equations. Moscow 1953, 1.
[7] Ch. de la Vallée Poussin: Sur l’équation différentielle linéaire du second ordre, détermination d’une intégrale par deux valeurs assignées. Extension aux équations d’ordre n. J. Math. Pures appl. 8, 1929, 125-144. · JFM 55.0850.02
[8] WILLETT D.: Generalized de la Vallée Poussin disconjugacy tests for linear differential equations. Can. Math. Bull. 14,3, 1971, 419-428. · Zbl 0238.34052
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