id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-6	Yu, Xiu-Fang; Wang, Jun-Min; Zhang, Han-Wen	Internal stabilization of interconnected heat-wave equations	2023	26	.pdf	application/pdf	10059	490	82	η 0 |Gnξ (ξ, s)|ds+ |a|d ∫ η 0 |Hn ξ (ξ, s)|ds ≤ ( |a| 2 + |a|d ) MKn (n+ 1)! (ξ + η)n+1 ≤ ( |a| 2 + |a|d )MKn n! (ξ + η)n, |Hn+1 ηη (ξ, η)| ≤ |a| 2 ∫ ξ 0 |Gnη (τ, η)|dτ + |a|d ∫ ξ 0 |Hn η (τ, η)|dτ ≤ ( |a| 2 + |a|d )MKn n! (ξ + η)n, and |Gn+1(ξ, η)| ≤ α2 4 ∫ ξ η ∫ η 0 |Gn(τ, s)| ds dτ + |a| 2 ∫ ξ η ∫ η 0 |Hn ξξ(τ, s)| ds dτ + |a| ∫ ξ η ∫ η 0 |Hn ξη(τ, s)| ds dτ + |a| 2 ∫ ξ η ∫ η 0 |Hn ηη(τ, s)| ds dτ ≤ α2 4 MKn n! ∫ ξ η ∫ η 0 (τ + s)n ds dτ + 2|a|MKn (n− 1)! ∫ ξ η ∫ η 0 (τ + s)n−1 ds dτ = α2 4 MKn (n+ 1)! ∫ ξ η [(τ + η)n+1 − τn+1]dτ According to boundary conditions of the last line in (3.7), we obtain c1 + c2 = 0, c3 + c4 = 0, e √ λc1 + e− √ λc2 − pλeλ+αc3 − pλe−(λ+α)c4 = 0, p √ λe √ λc1	cache/ejde-6.pdf	txt/ejde-6.txt