Approximating Solutions of Third-Order Nonlinear Hybrid Differential Equations via Dhage Iteration Principle

Document Type: Original Article

Authors

1 Faculty of Sciences and Technology, Department of Mathematics and Informatics, Souk Ahras University, P.O. Box 1553, Souk Ahras, 41000, Algeria.

2 Applied Mathematics Lab, Faculty of Sciences, Department of Mathematics, Annaba University, P.O. Box 12, Annaba, 23000, Algeria.

Abstract

We prove the existence and approximation of solutions of the initial value problems of nonlinear third-order hybrid differential equations. The main tool employed here is the Dhage iteration principle in a partially ordered normed linear space. An example is also given to illustrate the main results.

Keywords