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Article
Metrical Stepanov Almost Automorphy and Applications
In this paper, we analyze various classes of multi-dimensional Stepanov almost automorphic type functions in general metric. We clarify the main structural properties for the introduced classes of metrically S...
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Article
On Abstract Third-Order Differential Equation and Its Applications
In this paper, we consider an abstract third-order differential equation and deduce some results on the maximal regularity of its strict solution. We assume that the inhomogeneity appearing in the right-hand t...
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Article
Weighted Ergodic Components in \({{\mathbb {R}}}^{n}\)
In this paper, we analyze various classes of weighted Stepanov ergodic spaces, weighted Weyl ergodic spaces and weighted pseudo-ergodic spaces in ...
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Article
f-Frequently hypercyclic \(C_{0}\) -semigroups on complex sectors
We analyze f-frequently hypercyclic, q-frequently hypercyclic ( \(q> 1\) q > 1 ), and frequently hypercyclic \(C_{0}\) C 0 -semigroups ( \(q=1\) q = 1 ) defined on complex sectors,with values in sepa...
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An efficient abstract method for the study of an initial boundary value problem on singular domain
The present work is devoted to the study of a boundary value problem for second order linear differential equation set on singular cylindrical domain. This problem can be regarded via a natural change of varia...
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Article
Open AccessAn abstract approach for the study of an elliptic problem in a nonsmooth cylinder
The aim of this work is the resolution of a non-autonomous abstract differential equation of elliptic type set on unbounded domain. The study is performed in the framework of Hölder spaces. An example for a co...
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Article
Laplace Equation on a Domain With a Cuspidal Point in Little Hölder Spaces
In this paper, we give new results about existence, uniqueness and regularity properties for solutions of Laplace equation $$\Delta u ...
