A real analytical integral formula for a simple root of a system of two nonlinear equations
| dc.contributor.author | Ioakimidis, Nikolaos | |
| dc.date.accessioned | 2023-11-04T09:17:17Z | |
| dc.date.available | 2023-11-04T09:17:17Z | |
| dc.date.issued | 1986 | |
| dc.description.abstract | A method for the closed-form solution of two real nonlinear algebraic or transcendental equations, f(x,y) = 0, g(x,y) = 0, possessing one simple root (x0, y0) in a finite domain of the Oxy-plane is proposed. This method is based on the Picard method for the calculation of the number of roots of a system of nonlinear equations or, more explicitly, on the classical Gauss (or divergence) theorem in elementary mathematical analysis. The resulting formulae for x0 and y0 contain integrals including the functions f and g and their first partial derivatives. The present results generalize earlier relevant results for a single nonlinear equation. | |
| dc.identifier.other | http://elibrary.matf.bg.ac.rs/bitstream/handle/123456789/2509/FU%20FR.pdf?sequence=1#page=62 | |
| dc.identifier.uri | https://hdl.handle.net/10889/26150 | |
| dc.language.iso | en | |
| dc.publisher | University of Niš | |
| dc.title | A real analytical integral formula for a simple root of a system of two nonlinear equations | |
| oaire.citation.endPage | 71 | |
| oaire.citation.startPage | 65 | |
| oaire.citation.title | Facta Universitatis (Niš), Series: Mathematics and Informatics | |
| oaire.citation.volume | 1 | |
| oaire.version | http://purl.org/coar/version/c_b1a7d7d4d402bcce |