Multiple Periodic solutions and Positive Homoclinic Solution for a differential equation

Autor:	Anderson L. A. de Araujo, Kennedy Martins Pedroso
Rok vydání:	2013
Předmět:	Differential equation General Mathematics Mathematical analysis Fixed-point theorem periodic solutions 34C25 fixed point theorems Homoclinic solutions Linear differential equation Ordinary differential equation 47H11 Homoclinic orbit Ordinary differential equations 47H10 Mathematics
Zdroj:	Bull. Belg. Math. Soc. Simon Stevin 20, no. 3 (2013), 535-546
ISSN:	1370-1444
DOI:	10.36045/bbms/1378314514
Popis:	We consider the nonautonomous differential equation of second order $x''- a(t)x+b(t) x^2+c(t)x^{3}=0$, where $a(t),b(t),c(t)$ are $T$-periodic functions. This is a biomathematical model of an aneurysm in the circle of Willis. We prove the existence of at least two $T$-periodic solution for this equation, using coincidence degree theories.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::396431ecd6e96540b2f63bb4eae92e8a https://doi.org/10.36045/bbms/1378314514 Zobrazit plný text záznamu