Joint norm of operators and an investigation of nonlinear problems (Q757813)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Joint norm of operators and an investigation of nonlinear problems |
scientific article; zbMATH DE number 4194535
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Joint norm of operators and an investigation of nonlinear problems |
scientific article; zbMATH DE number 4194535 |
Statements
Joint norm of operators and an investigation of nonlinear problems (English)
0 references
1990
0 references
Nonlinear operator equations of the type \(x=Fx\) in a real Hilbert space H are considered. If \(\| Fx\| \leq \| B_ 1x\| +\| B_ 2x\| +b,\) where \(B_ 1\) and \(B_ 2\) are bounded linear operators there is a simple condition for solvability \(\| B_ 1\| +\| B_ 2\| <1\). This condition is generalized and applications to two- point boundary value problems are given.
0 references
joint norm of operators
0 references
Nonlinear operator equations
0 references
two-point boundary value problems
0 references
0 references
0.8981461
0 references
0 references
0.87927717
0 references
0.87864405
0 references
0.8774863
0 references
