On solving an nxn system of nonlinear Volterra integral equations by the Newton-Kantorovich method

• Main Authors: Hameed, Hameed Husam, Eshkuvatov, Zainidin K., Nik Long, Nik Mohd Asri
• Format: Article
• Language: English
• Published: Science Society of Thailand 2016
• Online Access: http://psasir.upm.edu.my/id/eprint/53428/1/On%20solving%20an%20n%20%C3%97%20n%20system%20of%20nonlinear%20Volterra%20integral%20equations%20by%20the%20Newton-Kantorovich%20method.pdf; http://psasir.upm.edu.my/id/eprint/53428/; http://www.scienceasia.org/content/viewabstract.php?ms=8589&v=46&abst=1
• Institution: Universiti Putra Malaysia

We consider an nxn system of nonlinear integral equations of Volterra type (nonlinear VIEs) arising from an economic model. By applying the Newton-Kantorovich method to the nonlinear VIEs we linearize them into linear Volterra type integral equations (linear VIEs). Uniqueness of the solution of the...