Critical Points Theory and the Forced Pendulum Equation - Periodic Solutions of the Forced Pendulum Equation

In this work we use variational methods to show the existence of a weak solution to the problem that is an Ordinary Differential Equation of the type u`` (t)+G' (u(t))= f(t). In the first chapter our goal is to demonstrate the deformation theorem and some abstract theorems, which will be of great importance in the development of the next chapters. In the second chapter our goal is to use variational methods to show the existence of T -periodic solutions to the equation u'' (t) +G'(u(t)) = f(t). In particular, if we consider G(u) = -cosu, we obtain the forced pendulum equation u'' (t) +sen(u(t)) = f(t).

About the author

Docente do Instituto Federal do Rio Grande do Norte (IFRN), Brasil.Licenciado em Matemática pela Universidade Estadual da Paraíba. Mestre em Matemática pela Universidade Federal de Campina Grande (UFCG).

Product details

• Authors: Maurício Tavares Barbosa
• Publisher: Our Knowledge Publishing
• Languages: English
• Product format: Paperback / Softback
• Released: 22.09.2022
• EAN: 9786205184752
• ISBN: 9786205184752
• No. of pages: 68
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous