id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-685	Hoang, Luan	Behavior near the extinction time for systems of differential equations with sublinear dissipation terms	2025	26	.pdf	application/pdf	11419	783	84	This expression and properties (5.15), (5.18) imply, as t → T− ∗ , |y(t)− (T∗ − t)1/αξ∗| = O ( (T∗ − t)1/α(|eh1(t) (6.24) Utilizing this estimate in (6.23) gives |Rλj v(t)|2 16 L. HOANG EJDE-2025/08 ≤ e−θµ ∫ t t̄ (T∗−τ)−1dτ |Rλjv(t̄)|2 + C6 ∫ t t̄ e−θµ ∫ t τ (T∗−s)−1ds(T∗ − τ)−1+2δ/αdτ = (T∗ − t)θµ (T∗ − t̄)θµ |Rλjv(t̄)|2 + C6(T∗ − t)θµ ∫ t t̄ (T∗ − τ)−1+2δ/α−θµdτ = (T∗ − t)θµ (T∗ − t̄)θµ |Rλj v(t̄)|2 + C6(T∗ − t)θµ 2δ/α− θµ ( (T∗ − t̄)2δ/α−θµ − (T∗ − t)2δ/α−θµ ) .	cache/ejde-685.pdf	txt/ejde-685.txt