Singer and Ulmer (1997) gave an algorithm to compute Liouvillian ("closed-form") solutions of homogeneous linear differential equations. However, there were several efficiency problems that made computations often not practical. In this paper we address these problems. We extend the algorithm in
Inversion of higher-order matrix difference and differential equations through their dynamical solutions
β Scribed by Julio Cesar Ruiz Claeyssen; Elisabeta Gallicchio; Marco Tulio Vilhena
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 281 KB
- Volume
- 149
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
Assuming the smoothness and a generalized Lipschitz condition we establish the existence and uniqueness of the periodic solutions of higher order nonlinear hyperbolic partial differential equations. 1994 Acedemic Press, Inc.
## Abstract The existence of nonβextreme positive solutions of __n__ thβorder quasilinear ordinary differential equations is discussed. In particular, necessary and sufficient integral conditions for the existence of nonβextreme positive solutions are established for a certain class of equations. B