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J. Semigroup Theory Appl. 2018 (2018), Article ID 3

Rank two solutions of the abstract Cauchy problem

S. Khamis, M. Al Horani, R. Khalil

Abstract

In this paper we discuss solutions of the Abstract Cauchy Problem

Bu(α) (t) = Au(t)+ f (t)

u(0) = x0

that are of the form u = u1⊗δ1+u2⊗δ2 , where u and f are functions defined on [0,a] with values in the Hilbert space l2.

Published
3 January 2018
Volume
2018 (2018)
License
CC BY 3.0

Copyright © 2018 S. Khamis, M. Al Horani, R. Khalil. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

S. Khamis, M. Al Horani, R. Khalil, Rank two solutions of the abstract Cauchy problem, J. Semigroup Theory Appl. 2018 (2018), 3. https://doi.org/10.28919/jsta/3551

BibTeX
@article{Khamis2018,
  author  = {Khamis, S. and Al Horani, M. and Khalil, R.},
  title   = {Rank two solutions of the abstract Cauchy problem},
  journal = {J. Semigroup Theory Appl.},
  volume  = {2018},
  year    = {2018},
  pages   = {3},
  doi     = {10.28919/jsta/3551}
}