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| Title: | Vector Calculus on weighted networks |
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| Author: | Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos |
| Other authors: | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
| Abstract: | In this work we study the different type of regular boundary valueproblems on a path associated with the Schr\"odinger operator. Inparticular, we get the Poisson kernel and the Green function foreach problem and we emphasize the cases of Dirichlet, Neumann, Mixedand periodic problems. In any case, the Poisson kernel and the Greenfunction are given in terms of second and third kind Chebyshevpolynomials since they verify a recurrence law similar to the oneverified by the Sch\"odinger operator on a path. |
| Publication date: | 2012-05-10 |
| Subject(s): | Àrees temàtiques de la UPC::Matemàtiques i estadística Difference equations Differential calculus Discrete operators Discrete green identity Vector calculus Network cohomology Equacions diferencials Anàlisi vectorial /Classificació AMS/39 Difference and functional equations /39A Difference equations {For dynamical systems, see 37-xx} |
| Rights: | Consulteu les condicions d'ús d'aquest document en el repositori original:http://hdl.handle.net/2117/494 |
| Document type: | Article |
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