Existence of solutions to second-order boundary value problems without growth restrictions

This article investigates nonlinear, second-order ordinary differential equations subject to various two-point boundary conditions. A condition is introduced that ensures a priori bounds on the derivatives of solutions to the problem. In particular, quadratic growth conditions on the right-hand side...

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Bibliographic Details
Main Author: Christopher Tisdell
Format: Article
Language:English
Published: University of Szeged 2016-10-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5094