Nonlocal Transformation of Ermakov-Pinney Equation

Özlem ORHAN¹ Muhammed Milani²

1) Department of Engineering Basic Science, Bandirma Onyedi Eylul University, Balikesir- Turkey Email:
2) Department of Computer Engineering, Bandirma Onyedi Eylul University, Balikesir- Turkey Email:

Publication : 10th International Conference on Innovative Technologies in Science, Engineering and Technology(tetsconf.com)
Abstract :
In this study, we will examine nonlocal transformation which is called Sundman transformation. Firstly, the Ermakov-Pinney equation is classified by special functions to apply this transformation. After this classification, the class of equations is determined and the suitable transformation for this class will be chosen. Sundman transformation pair will be obtained by using an appropriate method. Moreover, the first integrals of the Ermakov-Pinney equation are found by this transformation pair
Keywords : Nonlocal transformation pair Differential equations First Integral Ermakov-Pinney Equation