In this paper, we study well-posedness for the following third-order in time equation with
delay\left (0.1\right)\; α\left (Mu'\right)''\left (t\right)+\left (Nu'\right)'\left (t\right)= β Au\left …

Let X be a complex Banach space and let B and C be two closed linear operators on X
satisfying the condition D (B)⊂ D (C), and let d∈ L 1 (ℝ+) and 0≤ β< α≤ 2. We characterize …

We study the well-posedness of the third-order degenerate differential equation\left
(P_3\right): α\left (Mu\right)^ ′ ′ ′\left (t\right)+\left (Mu\right)^ ′ ′\left (t\right)= β Au\left …

[EN] In this paper, we completely characterize, only in terms of the data, the well-posedness
of a fourth order abstract evolution equation arising from the Moore-Gibson-Thomson …

We obtain necessary and sufficient conditions for the strongly L p well-posedness of three
abstract evolution equations, arising from fractional Moore-Gibson-Thompson type …

We give necessary and sufficient conditions of the L p-well-posedness (respectively, B p, q s-
well-posedness) for the second-order degenerate differential equation with finite delay:(M …

We study the well-posedness of the fractional degenerate differential equation: Dα (Mu)(t)+
cDβ (Mu)(t)= Au (t)+ f (t),(0≤ t≤ 2 π) on Lebesgue-Bochner spaces Lp (𝕋; X) and periodic …

In this paper, we study the well‐posedness of the degenerate differential equations with
fractional derivative in Lebesgue–Bochner spaces, periodic Besov spaces and periodic …

We study the well‐posedness of the degenerate fractional differential equations with finite
delay: D α (M u)(t)+ c D β (M u)(t) D^α(Mu)(t)+cD^β(Mu)(t)= A u (t)+ F ut+ f (t),(0≤ t≤ 2 π) …

In this paper, we investigate the existence of positive periodic solutions of a third-order
nonlinear integro-differential equation with distributed delays, by using the Green function …