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Global Solvability of Hammerstein Equations with Applications to BVP Involving Fractional Laplacian
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-10
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Some sufficient conditions for the nonlinear integral operator of the Hammerstein type to be a diffeomorphism defined on a certain Sobolev space are formulated.
The main result assures the invertibility of the Hammerstein operator and in consequence the global solvability of the nonlinear Hammerstein equations.
The applications of the result to nonlinear Dirichlet BVP involving the fractional Laplacian and to some specific Hammerstein equation are presented.
American Psychological Association (APA)
Bors, Dorota. 2013. Global Solvability of Hammerstein Equations with Applications to BVP Involving Fractional Laplacian. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-456588
Modern Language Association (MLA)
Bors, Dorota. Global Solvability of Hammerstein Equations with Applications to BVP Involving Fractional Laplacian. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-456588
American Medical Association (AMA)
Bors, Dorota. Global Solvability of Hammerstein Equations with Applications to BVP Involving Fractional Laplacian. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-456588
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456588