Global Solvability of Hammerstein Equations with Applications to BVP Involving Fractional Laplacian | Zendy

Dorota Bors | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Global Solvability of Hammerstein Equations with Applications to BVP Involving Fractional Laplacian

Author(s) -

Dorota Bors

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/240863

Subject(s) - mathematics , nonlinear system , sobolev space , operator (biology) , type (biology) , diffeomorphism , laplace operator , mathematical analysis , space (punctuation) , fractional calculus , pure mathematics , ecology , biochemistry , chemistry , physics , linguistics , philosophy , repressor , quantum mechanics , biology , transcription factor , gene

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research