A Topological Method for Vector-Valued and Nth Order Nonlinear Boundary Value Problems
Palamides, P. K.
Bernfeld, Stephen R.
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The use of topological methods in the analysts of second order nonlinear boundary value problems (BVP for short) in Rn of the form (E) [see pdf for notation] (C) [see pdf for notation] has recently attracted the interest of many authors (e.g. , , ,,) for the case in which n = 1. The prevalent approaches have been the topological method of Wazewski [1,8], the shooting method via the maximum principle, and the Kneser-Hukuhara continuum theorem . A common ingredient in these approaches is the use of upper and lower solutions to obtain bounds on the solutions.