Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Nonresonance conditions on the potential for a second-order periodic boundary value problem


Authors: Pierpaolo Omari and Fabio Zanolin
Journal: Proc. Amer. Math. Soc. 117 (1993), 125-135
MSC: Primary 34B15; Secondary 47H15
MathSciNet review: 1143021
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We consider the periodic problem

\begin{displaymath}\begin{array}{*{20}{c}} { - u'' = f(u) + h(t),} \\ {u(0) = u(2\pi ),\qquad u'(0) = u'(2\pi ),} \\ \end{array} \end{displaymath}

and prove its solvability for any given $ h$, under new assumptions on the asymptotic behaviour of the potential of the nonlinearity $ f$, with respect to two consecutive eigenvalues of the associated linear problem.

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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 34B15, 47H15

Retrieve articles in all journals with MSC: 34B15, 47H15


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1143021-2
PII: S 0002-9939(1993)1143021-2
Article copyright: © Copyright 1993 American Mathematical Society