Displaying similar documents to “Semilinear evolution equations of second order via maximal regularity.”

Thin sequences in the corona of H ∞

Dimcho Stankov, Tzonio Tzonev (2013)

Open Mathematics

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In this paper we consider several conditions for sequences of points in M(H ∞) and establish relations between them. We show that every interpolating sequence for QA of nontrivial points in the corona M ( H ∞ ) ∖ 𝔻 of H ∞ is a thin sequence for H ∞, which satisfies an additional topological condition. The discrete sequences in the Shilov boundary of H ∞ necessarily satisfy the same condition.

Asymptotic properties for half-linear difference equations

Mariella Cecchi, Zuzana Došlá, Mauro Marini, Ivo Vrkoč (2006)

Mathematica Bohemica

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Asymptotic properties of the half-linear difference equation Δ ( a n | Δ x n | α s g n Δ x n ) = b n | x n + 1 | α s g n x n + 1 ( * ) are investigated by means of some summation criteria. Recessive solutions and the Riccati difference equation associated to ( * ) are considered too. Our approach is based on a classification of solutions of ( * ) and on some summation inequalities for double series, which can be used also in other different contexts.