Generalized Inverse Operators And Fredholm Boundary-Value Problems
Language: English
Published by De Gruyter, 2004
- Hardcover
- New
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- Title
- Generalized Inverse Operators And Fredholm Boundary-Value Problems
- Author
- Boichuk, A. A.; Samoilenko, A. M.
- Publisher
- De Gruyter
- Publication year
- 2004
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 9067644072
- ISBN 13
- 9789067644075
The authors of this monograph suggest some methods for the construction of the generalized inverse (or pseudo-inverse) operators for the original linear Fredholm operators in Banach (or Hilbert) spaces for boundary-value problems regarded as operator systems in abstract spaces. They also study basic properties of the generalized Greens operator.
In the first three chapters some results from the theory of generalized inversion of bounded linear operators in abstract spaces are given, which are then used for the investigation of boundary-value problems for systems of functional differential equations. Subsequent chapters deal with a unified procedure for the investigation of Fredholm boundary-value problems for operator equations; analysis of boundary-value problems for standard operator systems; and existence of solutions of linear and nonlinear differential and difference systems bounded on the entire axis.
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