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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Oscillating solutions of third order differential equations


Author: W. R. Utz
Journal: Proc. Amer. Math. Soc. 26 (1970), 273-276
MSC: Primary 34.42
DOI: https://doi.org/10.1090/S0002-9939-1970-0262602-6
MathSciNet review: 0262602
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Abstract | References | Similar Articles | Additional Information

Abstract: Third order ordinary linear differential equations are investigated with respect to the property of having a basis for solutions that consist of three oscillating solutions yet some nontrivial solution of the equation is nonoscillatory.


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Keywords: Differential equations, third order, oscillation, basis of solutions, selfadjoint equations
Article copyright: © Copyright 1970 American Mathematical Society