zbMATH — the first resource for mathematics

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

34A30 Linear ordinary differential equations and systems
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
Full Text: EuDML
[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.