Nonlinear Volterra Integral Equation of the Second Kind and Biorthogonal Systems

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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Veröffentlicht in:Abstract and Applied Analysis 2010-01, Vol.2010 (2010), p.209-219
Hauptverfasser: Berenguer, MI, Gamez, D, Garralda-Guillem, AI, Serrano Perez, MC
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Banach space
Banach spaces
Integral equations
Mathematical analysis
Mathematical functions
Mathematical models
Methods
Nonlinearity
Numerical analysis
Studies
Theorems
Volterra integral equations
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Beschreibung
Zusammenfassung: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
DOI:10.1155/2010/135216