Lulut Alfaris, Ruben Cornelius Siagian, Januar Saleh Kaimuddin, Eko Pramesti Sumarto
An investigation of the use of Banach spaces for finding solutions to non-linear differential equations is conducted in this paper, focusing on weak and strong solutions. We present 12 theorems and several mathematical assumptions to support the findings, which conclude that, under certain conditions, at least one weak solution for the nonlinear differential Equation is obtained in Banach spaces. Furthermore, it is suggested in the paper that the same result can be obtained by expanding upon the compactness assumption. The properties of weak and strong solutions of nonlinear differential equations using Banach spaces are improved upon by this research, and its potential real-world applications are highlighted. © 2024 American Institute of Physics Inc.. All rights reserved.
Marine Technology Department, Politeknik Kelautan dan Perikanan Pangandaran, Kabupaten Pangandaran, Babakan, 46396, Indonesia; Department of Physics, Universitas Negeri Medan, Jl. Willem Iskandar/ Pasar V, Medan, 20221, Indonesia; SMA Muhammadiyah 3 Genteng, Jl. Gajahmada No.185, Genteng Kulon, Kabupaten Banyuwangi, 68465, Indonesia
