Step method for a system of integral equations from biomathematics

摘要

Using the step method, we study the following system of integral equations from biomathematicsand we prove the existence, uniqueness and the convergence of the successive approximation sequence using the Perov contraction principle and step method with a weaker Lipschitz condition. Also, we propose a new algorithm of successive approximation sequence generated by the step method and we give an example to illustrate the applications of the abstract results.