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Investigation on integro-differential equations with fractional boundary conditions by Atangana-Baleanu-Caputo derivative. [PDF]

PLoS One
Harisa SA, Faried N, Vijayaraj V, Ravichandran C, Morsy A.   +4 more
europepmc   +1 more source

Function Spaces and Banach Spaces [PDF]

, 1965
The theory of integration developed in Chapter Three enables us to define certain spaces of functions that have remarkable properties and are of enormous importance in analysis as well as in its applications. We have already, in § 7, considered spaces whose points are functions. In §7, we considered only the uniform norm ∥ ∥ u [see (7.3)] to define the
Karl R. Stromberg, Edwin Hewitt
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Banach Spaces and Banach Lattices

2016
We shall now give some background in the theory of normed and Banach spaces, including the key definitions of dual and bidual spaces and of an isomorphism and an isometric isomorphism between two normed spaces. In particular, we shall show how certain bidual spaces can be embedded in other Banach spaces.
Dona Strauss, Anthony To-Ming Lau, H. G. Dales, F. K. Dashiell   +3 more
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Functional Inequalities in Banach Spaces and Fuzzy Banach Spaces

2016
This paper is a survey on the Hyers–Ulam stability of additive functional inequalities, quadratic functional inequalities, additive ρ-functional inequalities, and quadratic ρ-functional inequalities in Banach spaces and fuzzy Banach spaces. Its content is divided into the following sections: 1. Introduction and Preliminaries.
Themistocles M. Rassias, Jung Rye Lee, Choonkil Park   +2 more
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Banach and Hilbert Spaces

1977
This chapter supplies the functional analytic material required for our study of existence of solutions of linear elliptic equations in Chapters 6 and 8. This material will be familiar to a reader already versed in basic functional analysis but we shall assume some acquaintance with elementary linear algebra and the theory of metric spaces.
Neil S. Trudinger, David Gilbarg
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Banach Spaces

1978
A. Mukherjea, K. Pothoven
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Banach Spaces

2014
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Banach Spaces

2001
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Banach Spaces

1985
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