|
|||||
|
|
An approximation theory for the identification of nonlinear volterra equations |
|
| Authors: | Sergiu Aizicovici Simeon Reich I.G. Rosen |
| Affiliation: | 1. Department of Mathematics , Ohio University , Athens, Ohio, 45701;2. Department of Mathematics, Department of Mathematics , University of Southern California, Center for Applied Mathematical Sciences., The Technion-Israel Institute of Technology , Los Angeles, Haifa, California, 90089, 32000, Israel;3. Department of Mathematics , University of Southern California , Los Angeles, 90089, California |
| Abstract: | An abstract approximation framework and convergence theory for Galerkin approximations to inverse problems involving nonlinear Volterra integral equations is developed. The approach relies on the theory of m-accretive operators in Banach spaces. An application to heat flow in materials with memory is also discussed. |
| Keywords: | |