Item description for Generalized Inverse Operators and Fredholm Boundary-Value Problems by A. A. Boichuk & A. M. Samoilenko...
The problems of development of constructive methods for the analysis of linear and weakly nonlinear boundary-value problems for a broad class of functional differential equations traditionally occupy one of the central places in the qualitative theory of differential equations.
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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Studio: Walter de Gruyter
Est. Packaging Dimensions: Length: 9.75" Width: 6.75" Height: 0.75" Weight: 1.45 lbs.
Publisher Walter de Gruyter
ISBN 9067644072 ISBN13 9789067644075
Availability 120 units. Availability accurate as of Jan 17, 2017 06:50.
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