Boucherif, AbdelkaderAl-Malki, Nawal2021-04-192021-04-192004-04-06Boucherif, A., Al-Malki, N. (2004). Solvability of Neumann boundary-value problems with Caratheodory nonlinearities. <i>Electronic Journal of Differential Equations, 2004</i>(51), pp. 1-7.1072-6691https://hdl.handle.net/10877/13388We propose a sufficient condition, on the nonlinear term, for the existence of solutions. This new condition is weaker than the usual sign condition and than the assumption on the existence of constant upper and lower solutions.Text7 pages1 file (.pdf)enAttribution 4.0 InternationalNeumann problemsCaratheodory functionsA priori estimatesTopological transversality theoremArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.