Upper and Lower Solutions For BVPs on the Half-Line With Derivative Depending Nonlinearity
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Date
2014-03-03
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Addis Ababa University
Abstract
This paper concerns the existence of solutions of a second order non linear boundary
value problem with a derivative depending non linearity and posed on the positive
half line. The derivative operator is time dependent. Upon a priori estimate and
under a suitable growth condition, the Schauder's xed point theorem combined with
the method of upper and lower solutions on unbounded domains are used to prove
existence of solutions. A uniquness theorem is also viewed and some examples are used
to illustrates the obtained results.
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Keywords
Upper and Lower Solutions, BVPs, Half-Line, Derivative, Depending Nonlinearity