Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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

 

 

Nonoscillation properties of a nonlinear differential equation


Author: Michael E. Hammett
Journal: Proc. Amer. Math. Soc. 30 (1971), 92-96
MSC: Primary 34.42
MathSciNet review: 0279384
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Sufficient conditions are given for the approach to zero of all nonoscillatory solutions of $ (p(t)x')' + q(t)g(x) = f(t)$. The conditions are related to an oscillation theorem of N. P. Bhatia concerning the equation $ (p(t)x')' + q(t)g(x) = 0$.


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

  • [1] Nam P. Bhatia, Some oscillation theorems for second order differential equations, J. Math. Anal. Appl. 15 (1966), 442–446. MR 0203164

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 34.42

Retrieve articles in all journals with MSC: 34.42


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1971-0279384-5
Keywords: Oscillatory, nonoscillatory, nonlinear, differential equation, solution, monotonic, approach zero
Article copyright: © Copyright 1971 American Mathematical Society