id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-331	Wang, Lianwen; Mubarak, Abdulrahman	Monotone solutions of first order nonlinear differential systems	2021	16	.pdf	application/pdf	5986	426	83	Indeed, if limt→α− x(t) < ∞, it follows from y(t) = y(a) + ∫ t a q(s)g(x(s))ds that lim t→α− y(t) = y(a) + ∫ α a q(t)g(x(t))dt <∞. So (x, y) can be extended to [a, α] and further to a small neighborhood at the right of α. By (H2) both f(x(t)) and g(y(t)) are increasing on [c, α), then y(t) = y(c) + ∫ t c q(s)g(x(s))ds ≤ y(c) + g(x(t)) ∫ t c q(s)ds = g(x(t)) ( y(c) g(x(t)) + ∫ t c q(s)ds ) ≤ g(x(t)) ( y(c) g(x(c))	cache/ejde-331.pdf	txt/ejde-331.txt