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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Some oscillation properties of selfadjoint elliptic equations
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by V. B. Headley
Proc. Amer. Math. Soc. 25 (1970), 824-829
DOI: https://doi.org/10.1090/S0002-9939-1970-0259323-2

Abstract:

In this paper a method is given for generalizing to partial differential equations known nonoscillation theorems for second order ordinary differential equations. As illustrations, two theorems of Hille (one of integral type and one of limit type) are generalized to obtain nonoscillation criteria for second order linear elliptic differential equations on unbounded domains $G$ in $n$-dimensional Euclidean space ${R^n}$.
References
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Bibliographic Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 25 (1970), 824-829
  • MSC: Primary 35.11; Secondary 34.00
  • DOI: https://doi.org/10.1090/S0002-9939-1970-0259323-2
  • MathSciNet review: 0259323