Existence of solutions for a class of abstract neutral differential equations
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DOI: 10.3934/dcds.2017106
Abstract: This paper is devoted to studying the existence of solutions for a general class of abstract neutral functional differential equations of first order with finite delay. Specifically, we distinguish among mild, strong and classical solutions,… read more here.
Keywords: class abstract; abstract neutral; solutions class; differential equations ... See more keywords
Exact controllability results for a class of abstract nonlocal Cauchy problem with impulsive conditions
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DOI: 10.3934/eect.2017030
Abstract: This paper deals with exact controllability of a class of abstract nonlocal Cauchy problem with impulsive conditions in Banach spaces. By using Sadovskii fixed point theorem and Monch fixed point theorem, exact controllability results are… read more here.
Keywords: class abstract; nonlocal cauchy; cauchy problem; abstract nonlocal ... See more keywords
A Class of Abstract Linear Representations for Convolution Function Algebras over Homogeneous Spaces of Compact Groups
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DOI: 10.4153/cjm-2016-043-9
Abstract: This paper introduces a class of abstract linear representations on Banach convolution function algebras over homogeneous spaces of compact groups. Let be a compact group and a closed subgroup of . Let be the normalized… read more here.
Keywords: class abstract; function algebras; abstract linear; convolution function ... See more keywords