A new spectral theory for nonlinear operators and its applications
In this paper, by applying (p,k)-epi mapping theory, we introduce a new definition of spectrum for nonlinear operators which contains all eigenvalues, as in the linear case. Properties of this spectrum are given and comparison is made with the other definitions of spectra. We also give applications...
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| Format: | Article |
| Language: | English |
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Wiley
1997-01-01
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| Series: | Abstract and Applied Analysis |
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| Online Access: | http://dx.doi.org/10.1155/S1085337597000328 |
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| _version_ | 1849682975608799232 |
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| author | W. Feng |
| author_facet | W. Feng |
| author_sort | W. Feng |
| collection | DOAJ |
| description | In this paper, by applying (p,k)-epi mapping theory, we introduce a new definition of spectrum for nonlinear operators which contains all eigenvalues, as in the linear case. Properties of this spectrum are given and comparison is made with the other
definitions of spectra. We also give applications of the new theory. |
| format | Article |
| id | doaj-art-d1c700bb8d0c4e58aefd1562029f1a07 |
| institution | DOAJ |
| issn | 1085-3375 |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-d1c700bb8d0c4e58aefd1562029f1a072025-08-20T03:24:02ZengWileyAbstract and Applied Analysis1085-33751997-01-0121-216318310.1155/S1085337597000328A new spectral theory for nonlinear operators and its applicationsW. Feng0Department of Mathematics, University of South Florida, Tampa 33620-5700, FL, USAIn this paper, by applying (p,k)-epi mapping theory, we introduce a new definition of spectrum for nonlinear operators which contains all eigenvalues, as in the linear case. Properties of this spectrum are given and comparison is made with the other definitions of spectra. We also give applications of the new theory.http://dx.doi.org/10.1155/S1085337597000328Spectrum of a nonlinear operatoreigenvalues(p,k)-epi mapping theory. |
| spellingShingle | W. Feng A new spectral theory for nonlinear operators and its applications Abstract and Applied Analysis Spectrum of a nonlinear operator eigenvalues (p,k)-epi mapping theory. |
| title | A new spectral theory for nonlinear operators and its applications |
| title_full | A new spectral theory for nonlinear operators and its applications |
| title_fullStr | A new spectral theory for nonlinear operators and its applications |
| title_full_unstemmed | A new spectral theory for nonlinear operators and its applications |
| title_short | A new spectral theory for nonlinear operators and its applications |
| title_sort | new spectral theory for nonlinear operators and its applications |
| topic | Spectrum of a nonlinear operator eigenvalues (p,k)-epi mapping theory. |
| url | http://dx.doi.org/10.1155/S1085337597000328 |
| work_keys_str_mv | AT wfeng anewspectraltheoryfornonlinearoperatorsanditsapplications AT wfeng newspectraltheoryfornonlinearoperatorsanditsapplications |