Convergence in nonlinear systems with a forcing term
J. E. Nápoles, A. I. Ruiz · Revista de Matemática Teoría y Aplicaciones · 1997
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 C1 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.