scholarly journals Nonlocal problems in Hilbert spaces

Author(s):  
Valentina Taddei ◽  
Luisa Malaguti ◽  
Irene Benedetti

2014 ◽  
Vol 22 (3) ◽  
pp. 639-656 ◽  
Author(s):  
I. Benedetti ◽  
N. V. Loi ◽  
L. Malaguti


2017 ◽  
Vol 19 (02) ◽  
pp. 1650002 ◽  
Author(s):  
Irene Benedetti ◽  
Nguyen Van Loi ◽  
Luisa Malaguti ◽  
Valeri Obukhovskii

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.



Author(s):  
Svante Janson
Keyword(s):  


2020 ◽  
Vol Accepted ◽  
Author(s):  
Oluwatosin Temitope Mewomo ◽  
Hammed Anuoluwapo Abass ◽  
Chinedu Izuchukwu ◽  
Olawale Kazeem Oyewole




Author(s):  
D. E. Edmunds ◽  
W. D. Evans

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.



1972 ◽  
Vol 7 (2) ◽  
pp. 297-299
Author(s):  
Neil Charles Powers


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