Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

A Sturmian theorem for first order partial differential equations


Author: Pui Kei Wong
Journal: Trans. Amer. Math. Soc. 166 (1972), 125-131
MSC: Primary 35P05
MathSciNet review: 0294911
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A pair of first order partial differential equations is considered. The system is transformed into a single nonlinear scalar equation of the Riccati type from which some Wirtinger type integral inequalities for functions of several variables are derived. A comparison theorem for two such pairs of first order equations is then proved using the Wirtinger inequalities.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 35P05

Retrieve articles in all journals with MSC: 35P05


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1972-0294911-5
PII: S 0002-9947(1972)0294911-5
Keywords: Comparison theorems, first order equations, generalized Riccati equation, Wirtinger inequalities
Article copyright: © Copyright 1972 American Mathematical Society