Linearization of coupled second-order nonlinear ordinary differential equations (SNODEs) is one of the open and challenging problems in the theory of differential equations. In this paper, we describe ...

In this paper, we propose a method for finding the best piecewise linearization of nonlinear functions. For this aim, we try to obtain the best approximation of a nonlinear function as a piecewise ...

We introduce a method for finding general solutions of third-order nonlinear differential equations by extending the modified Prelle-Singer method. We describe a procedure to deduce all the integrals ...

Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, Samsun, Turkey. Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, Samsun, Turkey. In ...

Results for each laboratory exercise can be found in n.lab/labn_enio_krizman_jmbag.pdf files and codes in n.lab/Matlab folders. 1. Trajectories of non-linear states system Goal of this exercise is to ...

Abstract: Many scientific and real-world problems that occur in science, engineering, and medicine can be represented in differential equations. There is a vital role for differential equations in ...

Abstract: In this paper we address the problem of linearization of nonlinear control systems using coordinate transformations. Although necessary and sufficient geometric conditions have been provided ...