On integral operators and nonlinear integral equations in the spaces of functions of bounded variation
Dariusz Bugajewski , Jacek Gulgowski , Piotr Kasprzak
AbstractIn this paper we introduce new conditions on a kernel of a linear Fredholm integral operator which turn out to be sufficient and necessary for that operator to map the space of functions of bounded variation in the sense of Jordan into itself. Furthermore, we apply those conditions to deal with the problem of the existence of solutions to nonlinear Hammerstein equations in that space. To achieve our goals we will use a topological degree approach as well as a fixed point approach.
|Journal series||Journal of Mathematical Analysis and Applications, ISSN 0022-247X, (A 40 pkt)|
|Publication size in sheets||1|
|Keywords in English||linear integral operator of a Fredholm-type, Leray-Schauder degree, nonlinear Hammerstein integral equation, variation in the sense of Jordan, weakly singular kernel, φ- and Λ-variation|
|Score|| = 35.0, 02-06-2020, ArticleFromJournal|
= 40.0, 02-06-2020, ArticleFromJournal
|Publication indicators||= 5; : 2016 = 1.202; : 2016 = 1.064 (2) - 2016=1.151 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.