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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A comparison theorem for conjugate points of general selfadjoint differential equations


Author: Kurt Kreith
Journal: Proc. Amer. Math. Soc. 25 (1970), 656-661
MSC: Primary 34.42
DOI: https://doi.org/10.1090/S0002-9939-1970-0259246-9
MathSciNet review: 0259246
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Abstract: Comparison theorems for conjugate points of fourth order selfadjoint differential equations have been established by J. Barrett. In the present paper a more direct method of proof is used to generalize Barrett's theorem to general selfadjoint equations of even order while replacing certain pointwise conditions on the coefficients by weaker integral conditions. Further generalizations are indicated to nonlinear equations, to differential inequalities, and to certain nonselfadjoint equations.


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DOI: https://doi.org/10.1090/S0002-9939-1970-0259246-9
Keywords: Conjugate points, matrix system, fundamental system of solutions
Article copyright: © Copyright 1970 American Mathematical Society