Monotone method for nonlinear second order periodic boundary value problems with Carathéodory functions

Volume 58 / 1993

Ming-Xing Wang, Alberto Cabada, Juan Nieto Annales Polonici Mathematici 58 (1993), 221-235 DOI: 10.4064/ap-58-3-221-235


The purpose of this paper is to study the periodic boundary value problem -u''(t) = f(t,u(t),u'(t)), u(0) = u(2π), u'(0) = u'(2π) when f satisfies the Carathéodory conditions. We show that a generalized upper and lower solution method is still valid, and develop a monotone iterative technique for finding minimal and maximal solutions.


  • Ming-Xing Wang
  • Alberto Cabada
  • Juan Nieto

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