Browsing by Author "Yimer Ibrahim"
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Item Upper and Lower Solutions For BVPs on the Half-Line With Derivative Depending Nonlinearity(Addis Ababa University, 2014-03-03) Yimer Ibrahim; Abdi Tadesse (PhD)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.