A new method for proving existence theorems for abstract Hammerstein equations (Q2520518)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new method for proving existence theorems for abstract Hammerstein equations |
scientific article |
Statements
A new method for proving existence theorems for abstract Hammerstein equations (English)
0 references
13 December 2016
0 references
Summary: An abstract Hammerstein equation is an equation of the form \(u + K F u = 0\). A {new method} is introduced to prove the existence of a solution of this equation where \(K\) and \(F\) are nonlinear accretive (monotone) operators. The method does not involve the complicated technique of factorizing a linear map via a Hilbert space and does not involve the use of deep variational techniques.
0 references
