Suchergebnisse

The United States Senate Select Committee on Intelligence concluded that the CIA was not responsible for the deaths of President Ngo Dinh Diem of South Vietnam and his brother Ngo Dinh Nhu on November 2, 1963. This conclusion only reaffirms a point that too few Americans understood—Vietnam's destiny lies ultimately with its own people.Ngo Dinh Diem met his death at the hands of his fellow countrymen in a coup d'etat planned and executed by the Vietnamese Army to achieve political goals important to the Vietnamese people. The story of the coup against Diem has been told in English by Marguerite Higgins, David Halberstam, and Robert Shaplen.

In this paper we investigate the homogeneous linear differential equation vi(t) = A(t)v(t) and the semi-linear differential equation vi(t) = A(t)v(t) + g(t, v(t)) in Banach space X, in which A : R → L(X) is a strongly continuous function, g : R × X → X is continuous and satisfies ϕ-Lipschitz condition. The first we characterize the exponential dichotomy of the associated evolution family with the homogeneous linear differential equation by space pair (E, E∞), this is a Perron type result. Applying the achieved results, we establish the robustness of exponential dichotomy. The next we show the existence of stable and unstable manifolds for the semi-linear differential equation and prove that each a fiber of these manifolds is differentiable submanifold of class C1.
Mathematics Subject Classification (2010): 34C45, 34D09, 34D10.
Received 14 June 2021; Accepted 09 September 2022