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Using Lubin-Tate groups, we develop a variant of Fontaine’s theory of (ϕ, Γ)-modules, and we use it to give a description of the Galois stable lattices inside certain
As we previously said, in order to apply the twist fixed point theorem to prove the existence of periodic solutions to planar Hamiltonian systems, Birkhoff tried to replace
In theorem 3, we will prove that every regular pseudoproduct space which is embedded in a projective space is, up to projections, a Segre variety.. A similar result holds for
In this section we give discrete versions of Theorem 2.2 (with β = 1) and Theorem 2.7, which yield two–weight generalizations of a weighted Carleman inequality..
In this section we’ll prove two lemmas which will be used to prove the main theorem of the paper announced in Introduction..
We prove a Filippov type existence theorem for solutions of a higher order differential inclusion in Banach spaces with nonconvex valued right hand side by applying the
Our aim is to extend some results of [5, 6] to the almost automorphic case, namely to prove that the existence of a bounded solution on (0 , + ∞ ) implies the existence of a
We first establish the global stability of the trivial and nontrivial constant steady states for the reaction diffusion system, and then prove the existence and non-existence
