Upper And Lower Solutions For Bvps On The Half-line With Derivative Depending Nonlinearity

This paper concerns the existence of solutions of a second order non linear boundaryrnvalue problem with a derivative depending non linearity and posed on the positivernhalf line. The derivative operator is time dependent. Upon a priori estimate andrnunder a suitable growth condition, the Schauder's xed point theorem combined withrnthe method of upper and lower solutions on unbounded domains are used to provernexistence of solutions. A uniquness theorem is also viewed and some examples are usedrnto illustrates the obtained results.

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