Convergence in nonlinear systems with a forcing term

The problem of convergence, as t ® +¥ , of solutions of the system (1) is considered. It is assumed that the functions a , f and g are of class C1 for all values of their arguments, furtermore g' (x) > 0 , f ' (x) ³ r > 0, 0 < n £ a ' (y) £ N < + ¥  and the functions a(t)...

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Autores Principales: Nápoles, J. E., Ruiz, A. I.
Formato: Artículo
Idioma: Español
Publicado: 2015
Acceso en línea: http://revistas.ucr.ac.cr/index.php/matematica/article/view/135
http://hdl.handle.net/10669/12767
Sumario: The problem of convergence, as t ® +¥ , of solutions of the system (1) is considered. It is assumed that the functions a , f and g are of class C1 for all values of their arguments, furtermore g' (x) > 0 , f ' (x) ³ r > 0, 0 < n £ a ' (y) £ N < + ¥  and the functions a(t) and p(t) are continuos on [ 0, +¥ ] with 0 < a £ a(t) £ A < +¥ and p(t) ³ 0.