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.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/135216 |
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| Summary: | 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. |
|---|---|
| ISSN: | 1085-3375 1687-0409 |