Nonlinear perturbations of systems of partial differential equations with constant coefficients
In this article, we show the existence of solutions to boundary-value problems, consisting of nonlinear systems of partial differential equations with constant coefficients. For this purpose, we use the right inverse of an associated operator and a fix point argument. As illustrations, we apply this...
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| Format: | Article |
| Language: | English |
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Texas State University
2000-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2000/05/abstr.html |
| _version_ | 1811245020596928512 |
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| author | Carmen J. Vanegas |
| author_facet | Carmen J. Vanegas |
| author_sort | Carmen J. Vanegas |
| collection | DOAJ |
| description | In this article, we show the existence of solutions to boundary-value problems, consisting of nonlinear systems of partial differential equations with constant coefficients. For this purpose, we use the right inverse of an associated operator and a fix point argument. As illustrations, we apply this method to Helmholtz equations and to second order systems of elliptic equations. |
| first_indexed | 2024-04-12T14:34:55Z |
| format | Article |
| id | doaj.art-0ac16dd41faf49e0b8ffd57cd9c03e7d |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-12T14:34:55Z |
| publishDate | 2000-01-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-0ac16dd41faf49e0b8ffd57cd9c03e7d2022-12-22T03:29:08ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912000-01-01200005110Nonlinear perturbations of systems of partial differential equations with constant coefficientsCarmen J. VanegasIn this article, we show the existence of solutions to boundary-value problems, consisting of nonlinear systems of partial differential equations with constant coefficients. For this purpose, we use the right inverse of an associated operator and a fix point argument. As illustrations, we apply this method to Helmholtz equations and to second order systems of elliptic equations.http://ejde.math.txstate.edu/Volumes/2000/05/abstr.htmlRight inversenonlinear differential equationsfixed point theorem. |
| spellingShingle | Carmen J. Vanegas Nonlinear perturbations of systems of partial differential equations with constant coefficients Electronic Journal of Differential Equations Right inverse nonlinear differential equations fixed point theorem. |
| title | Nonlinear perturbations of systems of partial differential equations with constant coefficients |
| title_full | Nonlinear perturbations of systems of partial differential equations with constant coefficients |
| title_fullStr | Nonlinear perturbations of systems of partial differential equations with constant coefficients |
| title_full_unstemmed | Nonlinear perturbations of systems of partial differential equations with constant coefficients |
| title_short | Nonlinear perturbations of systems of partial differential equations with constant coefficients |
| title_sort | nonlinear perturbations of systems of partial differential equations with constant coefficients |
| topic | Right inverse nonlinear differential equations fixed point theorem. |
| url | http://ejde.math.txstate.edu/Volumes/2000/05/abstr.html |
| work_keys_str_mv | AT carmenjvanegas nonlinearperturbationsofsystemsofpartialdifferentialequationswithconstantcoefficients |