id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-3375	Megahed, Abd El-Monem	A differential Game Related to Terrorism: Stackelberg Differential Game of E-differentiable and E-convex Function	2019	15	.pdf	application/pdf	4919	250	75	The leader problem (TO) To obtain on the optimal strategy v2 for the (TO), it must be taken into account the optimal strategy of the follower which is represented by an additional costate equation maxv2(t) J2 = ∫ ∞ 0 e−η2t [σz(t) + βv2(t)− γ M(t)] dt ż = rz(t)− ( α+λ2a n(ω−λ1) ) n n−1 v m 1−n 2 , λ̇1 = (η1 − r)λ1 + c λ̇2 = (η1 − µ)λ2 − q            (25) The Hamiltonian function of the leader H2 = σz(t) + βv2(t)− γ M(t) + Ψ1 ( rz(t)− ( α+ λ2a n(ω − λ1) ) n n−1 v m 1−n 2 ) (26) + Ψ2((η1 − r)λ1 + c) + Ψ3((η1 − µ)λ2 − q) A. Megahed / Eur. The adjoint variables λ1, λ2 satisfy the following differential equations λ̇1 = η1λ1 − ∂H1 ∂y = (η1 − r)λ1 + c λ̇2 = η1λ2 − ∂H1 ∂M = (η1 − µ)λ2 − q 3.2.2.	cache/ejpam-3375.pdf	txt/ejpam-3375.txt