Upper and Lower Solutions for BVPs on the Half-line with Variable Coefficient and Derivative Depending Nonlinearity

作者：Djebali Smail^*; Zahar Samira

来源：Electronic Journal of Qualitative Theory of Differential Equations, 2011, (14).

• Lower and upper solution
• infinity interval
• variable coefficient
• derivative depending nonlinearity
• Nagumo condition
• uniqueness

This paper is concerned with a second-order nonlinear boundary value problem with a derivative depending nonlinearity and posed on the positive half-line. The derivative operator is time dependent. Upon a priori estimates and under a Nagumo growth condition, the Schauder's fixed point theorem combined with the method of upper and lower solutions on unbounded domains are used to prove existence of solutions. A uniqueness theorem is also obtained and some examples of application illustrate the obtained results.

• 出版日期2011