Nonlinear Volterra Integral Equation of the Second Kind and Biorthogonal Systems
We obtain an approximation of the solution of the nonlinear Volterra integral equation of the second kind, by means of a new method for its numerical resolution. The main tools used to establish it are the properties of a biorthogonal system in a Banach space and the Banach fixed point theorem.
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/135216 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562657027162112 |
|---|---|
| author | M. I. Berenguer D. Gámez A. I. Garralda-Guillem M. C. Serrano Pérez |
| author_facet | M. I. Berenguer D. Gámez A. I. Garralda-Guillem M. C. Serrano Pérez |
| author_sort | M. I. Berenguer |
| collection | DOAJ |
| description | We obtain an approximation of the solution of the nonlinear Volterra integral equation
of the second kind, by means of a new method for its numerical resolution. The main tools used to establish
it are the properties of a biorthogonal system in a Banach space and the Banach fixed point theorem. |
| format | Article |
| id | doaj-art-18a9397cb156482da6647f8ee8b49dfb |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-18a9397cb156482da6647f8ee8b49dfb2025-02-03T01:22:08ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/135216135216Nonlinear Volterra Integral Equation of the Second Kind and Biorthogonal SystemsM. I. Berenguer0D. Gámez1A. I. Garralda-Guillem2M. C. Serrano Pérez3E.U. Arquitectura Técnica, Departamento de Matemática Aplicada, Universidad de Granada, c/ Severo Ochoa, s/n, 18071 Granada, SpainE.U. Arquitectura Técnica, Departamento de Matemática Aplicada, Universidad de Granada, c/ Severo Ochoa, s/n, 18071 Granada, SpainE.U. Arquitectura Técnica, Departamento de Matemática Aplicada, Universidad de Granada, c/ Severo Ochoa, s/n, 18071 Granada, SpainE.U. Arquitectura Técnica, Departamento de Matemática Aplicada, Universidad de Granada, c/ Severo Ochoa, s/n, 18071 Granada, SpainWe obtain an approximation of the solution of the nonlinear Volterra integral equation of the second kind, by means of a new method for its numerical resolution. The main tools used to establish it are the properties of a biorthogonal system in a Banach space and the Banach fixed point theorem.http://dx.doi.org/10.1155/2010/135216 |
| spellingShingle | M. I. Berenguer D. Gámez A. I. Garralda-Guillem M. C. Serrano Pérez Nonlinear Volterra Integral Equation of the Second Kind and Biorthogonal Systems Abstract and Applied Analysis |
| title | Nonlinear Volterra Integral Equation of the Second Kind and Biorthogonal Systems |
| title_full | Nonlinear Volterra Integral Equation of the Second Kind and Biorthogonal Systems |
| title_fullStr | Nonlinear Volterra Integral Equation of the Second Kind and Biorthogonal Systems |
| title_full_unstemmed | Nonlinear Volterra Integral Equation of the Second Kind and Biorthogonal Systems |
| title_short | Nonlinear Volterra Integral Equation of the Second Kind and Biorthogonal Systems |
| title_sort | nonlinear volterra integral equation of the second kind and biorthogonal systems |
| url | http://dx.doi.org/10.1155/2010/135216 |
| work_keys_str_mv | AT miberenguer nonlinearvolterraintegralequationofthesecondkindandbiorthogonalsystems AT dgamez nonlinearvolterraintegralequationofthesecondkindandbiorthogonalsystems AT aigarraldaguillem nonlinearvolterraintegralequationofthesecondkindandbiorthogonalsystems AT mcserranoperez nonlinearvolterraintegralequationofthesecondkindandbiorthogonalsystems |