On a non-standard algebraic description of integrable nonlinear systems
✍ Scribed by Maciej Błaszak
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 762 KB
- Volume
- 198
- Category
- Article
- ISSN
- 0378-4371
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Controlled systems of integral equations of the from Ax + V x = Bu, where V is the Volterra operator with a kernel of the convolution type, are considered. Here A, B are constant matrices and det A = 0. The existence theorem has been proved and necessary and sufficient conditions, under which the ke
The extension of Abel's Identity presented in the companion paper is used to construct the general solutions to some non-linear, autonomous systems. It is shown that only one first integral is required for the construction, and that one first integral naturally leads to a second independent integral