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

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


On perturbation of unstable second order linear differential equations

Authors: L. Hatvani and L. Pintér
Journal: Proc. Amer. Math. Soc. 61 (1976), 36-38
MSC: Primary 34D10
MathSciNet review: 0422784
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In connection with a conjecture of J. M. Bownds, conditions will be given on the fundamental system of the solutions of the unstable differential equation $ y'' + a(t)y = 0$ which assure that the differential equation $ x'' + a(t)x = g(t,x,x')$ has a solution with the property

$\displaystyle \lim \sup (\vert x(t)\vert + \vert x'(t)\vert) = \infty \quad {\text{as }}t \to \infty ,$

provided that $ g(t,x,x')$ is ``sufficiently small".

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 34D10

Retrieve articles in all journals with MSC: 34D10

Additional Information

PII: S 0002-9939(1976)0422784-5
Keywords: Perturbation, stability, instability, conditional stability
Article copyright: © Copyright 1976 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia