The method of lower and upper solutions provides, as well as results of existence, other important properties such as location of solution, extremal solutions,…, which have been under used and, moreover, its potential has not been optimized, either in theory either in applications. This work will present some cases to emphasize both items: two fourth order problems with functional boundary conditions (including an application to a continuous model for the deformation of the human spine under the action of some forces) and a third order periodic problem where unbounded nonlinearities are allowed, provided that an one-sided Nagumo-type condition is verified.
Mathematical Models in Engineering, Biology and Medicine: International Conference on Boundary Value Problems: Mathematical Models in Engineering, Biology and Medicine
- Pub Date:
- May 2009
- Ordinary and partial differential equations;
- boundary value problems;
- Functional analysis;
- Partial differential equations