A disconjugacy criterion for linear scalar differential operators
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- by James S. Muldowney
- Proc. Amer. Math. Soc. 65 (1977), 93-96
- DOI: https://doi.org/10.1090/S0002-9939-1977-0442367-1
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Abstract:
It is shown that if a linear scalar differential operator is not disconjugate on an interval then each member of a certain family of first order vector differential equations has an oscillatory solution. Thus any condition which guarantees the nonoscillation of a member of the family is a disconjugacy criterion for the scalar operator. The form of the vector systems is convenient for the use of nonoscillation conditions developed by Nehari, Schwarz and Friedland.References
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Bibliographic Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 65 (1977), 93-96
- MSC: Primary 34C10
- DOI: https://doi.org/10.1090/S0002-9939-1977-0442367-1
- MathSciNet review: 0442367