Tisdell, Christopher2021-07-192021-07-192006-07-19Tisdell, C. C. (2006). On the solvability of nonlinear first-order boundary-value problems. <i>Electronic Journal of Differential Equations, 2006</i>(80), pp. 1-8.1072-6691https://hdl.handle.net/10877/13953This article investigates the existence of solutions to first-order nonlinear boundary-value problems (BVPs) involving systems of ordinary differential equations and two-point boundary conditions. Some sufficient conditions are presented that will ensure solvability. The main tools employed are novel differential inequalities and fixed-point methods.Text8 pages1 file (.pdf)enAttribution 4.0 InternationalExistence of solutionsBoundary value problemsDifferential equationsFixed-point methodsDifferential inequalitiesArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.