2022-07

Turkish Journal of Computer and Mathematics Education (Issue : 3) (Volume : 13)

In this work, we investigate the periodic solutions for non-linear system of differential equations by using the method of periodic solutions of ordinary differential equations which are given by A.M.Samoilenko. Additionally, the existence and uniqueness theorem have been proved for second differential equations system by using Banach fixed point theorem.

2021-08

J. Math. Comput. Sci. 2022 (Issue : 13) (Volume : 5)

In this paper, we give a reconstruction formula for the potential q for a second order differential equation with boundary condition which contains spectral parameter. For this as methodology, we use Prufer substitution ¨ that has an advantage different from other methods. Because in this method, we do not need any information of eigenfunctions.

2020-08

CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS (Volume : 2)

Spectral analysis of the Sturm-Liouville operator with periodic potential has been examined in detail [1–4].

2020-01

CMES 2019, AISC (Volume : 6)

The shallow water equations have a wide range of applications in the ocean, atmospheric modeling, and pneumatic computing, which can also be used to modeling flows in rivers and coastal areas. In this study, we build the analytic traveling wave solution of the (1+1) dimensional coupled Whitham-Broer-Kaup (WBK) equations, by using the Bernoulli sub-equation function method. The system of (1+1)-dimensional (CWBK) partial differential equation is converted to the ordinary differential equation for obtaining new exponential prototype structures. We obtained new results using this technique. We plotted two and three-dimensional surfaces of the results using Wolfram Mathematica software. At the end of this study, we submitted a conclusion in a comprehensive manner.