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We show that the p -adic Galois representations attached to Hilbert modular forms of motivic weight are potentially semistable at all places above p and are compatible with the
In [Fo1], Fontaine worked out a general approach to the classification of p -adic representations in terms of ( ϕ, Γ)-modules.. We consider these cases separately in the rest of
In particular, we obtain an algebraic estimate for the index of a quasi-homogeneous vector field (Theorem 1) in terms of analogues of the so-called Petrovsky numbers [1].. This
P˚ uˇza, On the solvability of boundary value problems for systems of nonlinear differential equations with deviating arguments. Diffe- rential
Another relative of Floquet’s original theorem was discovered at about the same time by Halphen [11]: If the coefficients of a linear homogeneous differential expres- sion are
Elbert, An extension of Milloux’s theorem to half-linear dif- ferential equation, Proceedings of the Sixth Colloquium on the Qualitative Theory of Differential Equations, August
Krasnosel’ski˘ı fixed point theorem has been extensively used in differential and functional differential equations, by Burton in proving the existence of periodic solutions..
Very recently, Wang and Shen [15] investigated the anti-periodic boundary value problem for a class of second order differential equations by using Schauder’s fixed point theorem
