Table of Contents
ISRN Mathematical Analysis
Volume 2011 (2011), Article ID 276701, 13 pages
http://dx.doi.org/10.5402/2011/276701
Research Article

Application of Spectral Methods to Boundary Value Problems for Differential Equations

Faculty of Tourism and Commercial Management Constanta, “Dimitrie Cantemir” Christian University Bucharest, Romania

Received 13 January 2011; Accepted 12 March 2011

Academic Editor: G. Mantica

Copyright © 2011 Ene Petronela. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. P. Catană and D. Pascali, “On semilinear spectral theory,” in Proceedings of the 6th Congress of Romanian Mathematicians, vol. 1, pp. 331–335, Scientific Contributions, 2009. View at Zentralblatt MATH
  2. P. Catană, “Solvability of nonlinear equations,” Mathematical Reports-Romanian Academy, vol. 9(59), no. 3, pp. 249–256, 2007. View at Google Scholar · View at Zentralblatt MATH
  3. P. Catană, “Feng's spectral theory for nonlinear operators,” Scientific Annals of Maritime University of Constanta, vol. 10, 2007. View at Google Scholar
  4. A. Rhodius, “Über numerische wertebereiche und spektralwertabschätzungen,” Acta Scientiarum Mathematicarum, vol. 47, no. 3–4, pp. 465–470, 1984. View at Google Scholar · View at Zentralblatt MATH
  5. R. I. Kachurovskij, “Regular points, spectrum and eigenfunction of nonlinear operators,” Soviet Mathematics—Doklady, vol. 10, pp. 1101–1105, 1969. View at Google Scholar
  6. P. Catană, “Different spectra for nonlinear operators,” Scientific Annals of “Ovidius” University of Constanta, Series Mathematica, vol. 13, no. 1, pp. 5–14, 2005. View at Google Scholar · View at Zentralblatt MATH
  7. J. Appell, E. De Pascale, and A. Vignoli, “A comparison of different spectra for nonlinear operators,” Nonlinear Analysis: Theory, Methods & Applications, vol. 40, no. 1–8, pp. 73–90, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  8. J. Appell and M. Dörfner, “Some spectral theory for nonlinear operators,” Nonlinear Analysis: Theory, Methods & Applications, vol. 28, no. 12, pp. 1955–1976, 1997. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  9. P. Catană, A spectral theory for nonlinear maps, Ph.D. thesis, “Ovidius” University of Constanta, Romania, 2006.
  10. M. Furi, M. Martelli, and A. Vignoli, “Contributions to the spectral theory for nonlinear operators in Banach spaces,” Annali di Matematica Pura ed Applicata, vol. 118, pp. 229–294, 1978. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  11. M. Furi, M. Martelli, and A. Vignoli, “Stably-solvable operators in Banach spaces,” Atti della Accademia Nazionale dei Lincei. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali, vol. 60, no. 1, pp. 21–26, 1976. View at Google Scholar · View at Zentralblatt MATH
  12. W. Feng, “A new spectral theory for nonlinear operators and its applications,” Abstract and Applied Analysis, vol. 2, no. 1–2, pp. 163–183, 1997. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  13. J. Appell, E. De Pascale, and A. Vignoli, Nonlinear Spectral Theory, vol. 10 of W. de Gruyter Series in Nonlinear Analysis and Applications, Walter de Gruyter & Co., Berlin, Germany, 2004.
  14. P. Catană, “The semilinear Feng and FMV spectra,” Balkan Journal of Geometry and Its Applications, vol. 12, no. 2, pp. 21–31, 2007. View at Google Scholar · View at Zentralblatt MATH