| Title |
Vienos išsigimstančios dalinių išvestinių diferencialinių lygčių sistemos sprendinių struktūra / |
| Translation of Title |
The structure of the solutions of one system of degenerate differential equations with partial derivatives. |
| Authors |
Vaičiulytė, Ingrida |
| Full Text |
|
| Is Part of |
Jaunųjų mokslininkų darbai. 2009, nr.3(24), p. 186-188.. ISSN 1648-8776 |
| Keywords [eng] |
Partial derivative ; System of differential equations ; Power series |
| Abstract [eng] |
In this work the system of four degenerate differential equations with partial first‑order derivatives was studied. For the solution of the system of differential equations with partial derivatives the generalized power series method was applied. Power series convergence included in the solution of the system was proved. Acting in this system, matrix theory was used for simplified recording and presenting the results briefly and clearly. Analytical solutions of this system were found and properties of solutions of neighbourhood of points of degeneration manifold were investigated. The generalized power series method can be applied to the solution of systems of differential equations with partial derivatives of similar structure, the order of which is degenerating. The results that were obtained in this work can be applied to modelling and studying the real processes. |
| Type |
Journal article |
| Language |
Lithuanian |
| Publication date |
2009 |
