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Convergence in nonlinear systems with a forcing term
2009
Revista de Matemática: Teoría y Aplicaciones
The problem of convergence, as t −→ +∞, of solutions of the system (1) is considered. It is assumed that the functions α, f and g are of class C 1 for all values of their arguments, furthermore g (x) > 0, f (x) ≥ r > 0, 0 < n ≤ α (y) ≤ N < +∞ and the functions a(t) and p(t) are continuous on [0, +∞) with 0 < a ≤ a(t) ≤ A < +∞ and p(t) ≥ 0. Resumen Se considera el problema de la convergencia, cuando t −→ +∞, de las soluciones del sistema (1). Se asume que las funciones α, f y g son de clase C 1
doi:10.15517/rmta.v4i1.135
fatcat:mn5balf2tvhxziiqghhkxbxvle