Upper and Lower Solutions For BVPs on the Half-Line With Derivative Depending Nonlinearity

Abdi Tadesse (PhD)Yimer Ibrahim2020-12-172023-11-042020-12-172023-11-042014-03-03http://etd.aau.edu.et/handle/123456789/24158This 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.enUpper and Lower SolutionsBVPsHalf-LineDerivativeDepending NonlinearityUpper and Lower Solutions For BVPs on the Half-Line With Derivative Depending NonlinearityThesis