Linear Stieltjes equation with generalized riemann integral and existence of regulated solutions |
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Authors: | L Barbanti |
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Institution: | 1. Instituto de Matemática e Estatística, Departamento de Matemática, Universidade de S?o Paulo, Rua do Mat?o, 1010, CEP: 05508-900, S?o Paulo, Brasil
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Abstract: | In this work we establish an existence theorem of regulated solutions for a class of Stieltjes equations which involve generalized fuemann kind of integrals. The general method spplied consists in considering the continuous-time Stieltjes equation as limit of discrete processes. This approach will prove fruitful in the study of the controllability of Stieltjes systems, because it will be possible to get properties on the continuous time equation by transferring properties of the discrete ones. |
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Keywords: | Existence of regulated solutions integral equations approximation scheme in time for Stieltjes equations |
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