Nonlinear differential equations and algebraic systems
In this paper we obtain the general solution of scalar, first-order differential equations. The method is variation of parameters with asymptotic series and the theory of partial differential equations.
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1978-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171278000290 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832549277614735360 |
|---|---|
| author | Lloyd K. Williams |
| author_facet | Lloyd K. Williams |
| author_sort | Lloyd K. Williams |
| collection | DOAJ |
| description | In this paper we obtain the general solution of scalar, first-order differential equations. The method is variation of parameters with asymptotic series and the theory of partial differential equations. |
| format | Article |
| id | doaj-art-f9aaed51896b4d58bb1f9db9ed33d10d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1978-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f9aaed51896b4d58bb1f9db9ed33d10d2025-02-03T06:11:48ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251978-01-011325726710.1155/S0161171278000290Nonlinear differential equations and algebraic systemsLloyd K. Williams0Department of Mathematics, Texas Southern University, Houston 77004, Texas, USAIn this paper we obtain the general solution of scalar, first-order differential equations. The method is variation of parameters with asymptotic series and the theory of partial differential equations.http://dx.doi.org/10.1155/S0161171278000290Riccati equationsAbel equationsCauchy-Kowalewski theoremCauchy-Kowalewski systemuniversal Cauchy-Kowalewski system. |
| spellingShingle | Lloyd K. Williams Nonlinear differential equations and algebraic systems International Journal of Mathematics and Mathematical Sciences Riccati equations Abel equations Cauchy-Kowalewski theorem Cauchy-Kowalewski system universal Cauchy-Kowalewski system. |
| title | Nonlinear differential equations and algebraic systems |
| title_full | Nonlinear differential equations and algebraic systems |
| title_fullStr | Nonlinear differential equations and algebraic systems |
| title_full_unstemmed | Nonlinear differential equations and algebraic systems |
| title_short | Nonlinear differential equations and algebraic systems |
| title_sort | nonlinear differential equations and algebraic systems |
| topic | Riccati equations Abel equations Cauchy-Kowalewski theorem Cauchy-Kowalewski system universal Cauchy-Kowalewski system. |
| url | http://dx.doi.org/10.1155/S0161171278000290 |
| work_keys_str_mv | AT lloydkwilliams nonlineardifferentialequationsandalgebraicsystems |