Iterative method for three-point boundary value problem for third order differential equations

A. Golev, S. Hristova, K. Stefanova

A third order three-point boundary value problem on a half-line is considered. Based on the application of lower and upper solutions an algorithm for constructing two monotone convergent sequences of successive approximations is provided. Both sequence are convergent and in the case their limits coincide this limit is a solution of the considered problem. Some examples are given to illustrate the suggested algorithm.

Advanced Studies: Euro-Tbilisi Mathematical Journal, Special Issue (10 - 2021), pp. 257-268