id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-1299	Bensalem, Abdelhamid; Salim, Abdelkrim; Benchohra, Mouffak; N'Guerekata, Gaston M.	Optimal control and  approximate controllability for second-order integro-differential equations with state-dependent delay and non-instantaneous impulses	2025	18	.pdf	application/pdf	8625	466	79	if θ ∈ Ik, k ∈ Nm 0 , ϑ(θ) = Υk(θ, ϑ(θ − k )), if θ ∈ Jk, k ∈ Nm 1 , ϑ′(θ) = Θk(θ, ϑ(θ − k )), if θ ∈ Jk, k ∈ Nm 1 , ϑ′(0) = ζ0 ∈ H, ϑ′(0) = ζ1 ∈ H. The concept of controllability has long been recognized as having a significant role in engi- neering and mathematical control theory. + ∫ θ 0 Υ(θ, ε)ϑ(ε)dε+K(θ, ϑℑ(θ,ϑθ), (Ψϑ)(θ)) + Pu(θ), if θ ∈ Ik, k ∈ Nm 0 , ϑ(θ) = Υk(θ, ϑ(θ − k )), if θ ∈ Jk, k ∈ Nm 1 , ϑ′(θ) = Θk(θ, ϑ(θ − k )),	cache/ejde-1299.pdf	txt/ejde-1299.txt