Singular nonlinear three point BVPs arising in thermal explosion in a cylindrical reactor

Abstract

In this work we deal with a nonlinear three point singular boundary value problems (SBVPs), when the nonlinearity depends upon derivative. We establish the maximum principles for linear model. Prove some new inequalities based on Bessel and modified Bessel functions. Finally by using the Monotone Iterative Technique, we obtain some new existence results with well order and reverse order upper and lower solutions. The method developed in this paper can be used in computer algebra to compute solutions of real life problems.