scholarly journals Nonlocal problems in Hilbert spaces

2015 ◽  
Author(s):  
Valentina Taddei ◽  
Luisa Malaguti ◽  
Irene Benedetti
Keyword(s):  
Hilbert Spaces ◽  
Nonlocal Problems

Nonlocal Problems for Differential Inclusions in Hilbert Spaces

2014 ◽  
Vol 22 (3) ◽  
pp. 639-656 ◽  
Author(s):  
I. Benedetti ◽  
N. V. Loi ◽  
L. Malaguti
Keyword(s):  
Hilbert Spaces ◽  
Differential Inclusions ◽  
Nonlocal Problems

scholarly journals An approximation solvability method for nonlocal differential problems in Hilbert spaces

2017 ◽  
Vol 19 (02) ◽  
pp. 1650002 ◽  
Author(s):  
Irene Benedetti ◽  
Nguyen Van Loi ◽  
Luisa Malaguti ◽  
Valeri Obukhovskii
Keyword(s):  
Differential Equations ◽  
Hilbert Spaces ◽  
Nonlinear Differential Equations ◽  
Degree Theory ◽  
Nonlocal Problems ◽  
Abstract Result ◽  
New Approach

A new approach is developed for the solvability of nonlocal problems in Hilbert spaces associated to nonlinear differential equations. It is based on a joint combination of the degree theory with the approximation solvability method and the bounding functions technique. No compactness or condensivity condition on the nonlinearities is assumed. Some applications of the abstract result to the study of nonlocal problems for integro-differential equations and systems of integro-differential equations are then showed. A generalization of the result by using nonsmooth bounding functions is given.

Gaussian Hilbert Spaces

1997 ◽  
Author(s):  
Svante Janson
Keyword(s):  
Hilbert Spaces

On split equality monotone Yosida variational inclusion and fixed point problems for countable infinite families of certain nonlinear mappings in Hilbert spaces

2020 ◽  
Vol Accepted ◽  
Author(s):  
Oluwatosin Temitope Mewomo ◽  
Hammed Anuoluwapo Abass ◽  
Chinedu Izuchukwu ◽  
Olawale Kazeem Oyewole
Keyword(s):  
Fixed Point ◽  
Hilbert Spaces ◽  
Fixed Point Problems ◽  
Variational Inclusion ◽  
Nonlinear Mappings

Analytic and Sequential Feynman Integrals on Abstract Wiener and Hilbert Spaces, and A Cameron-Martin Formula. Revision.

1984 ◽  
Author(s):  
G. Kallianpur ◽  
D. Kannan ◽  
R. L. Karandikar
Keyword(s):  
Hilbert Spaces ◽  
Feynman Integrals

Unbounded Linear Operators

2018 ◽  
Author(s):  
D. E. Edmunds ◽  
W. D. Evans
Keyword(s):  
Hilbert Spaces ◽  
Linear Operators ◽  
Von Neumann ◽  
Limit Circle ◽  
Sectorial Operators ◽  
Closed Operators ◽  
The Stability ◽  
Symmetric Operators ◽  
Unbounded Linear Operators ◽  
Special Case

This chapter is concerned with closable and closed operators in Hilbert spaces, especially with the special classes of symmetric, J-symmetric, accretive and sectorial operators. The Stone–von Neumann theory of extensions of symmetric operators is treated as a special case of results for compatible adjoint pairs of closed operators. Also discussed in detail is the stability of closedness and self-adjointness under perturbations. The abstract results are applied to operators defined by second-order differential expressions, and Sims’ generalization of the Weyl limit-point, limit-circle characterization for symmetric expressions to J-symmetric expressions is proved.

scholarly journals Operator theory on quaternionic Hilbert spaces

1972 ◽  
Vol 7 (2) ◽  
pp. 297-299
Author(s):  
Neil Charles Powers
Keyword(s):  
Hilbert Spaces ◽  
Operator Theory
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