On the Solution of Linear Differential Equations in Series
β Scribed by Hammond, J.
- Book ID
- 120105529
- Publisher
- Oxford University Press
- Year
- 1874
- Tongue
- English
- Weight
- 172 KB
- Volume
- s1-6
- Category
- Article
- ISSN
- 0024-6115
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π SIMILAR VOLUMES
This paper deals with the construction of random power series solutions of linear differential equations containing uncertainty through the diffusion coefficient, the source term as well as the initial condition. Under appropriate hypotheses on the data, we establish that the constructed random powe
Given a nontrivial \(y\), solution branches of the form \(z \equiv y+\sum_{i=1}^{m} c_{i} w_{i}\) are constructed with \(\left\|w_{i}\right\|=1,1 \leqslant i \leqslant m\). Multiple zeros of \(y\) "unwind" to nearby simple zeros of the branch \(z\). Key assumptions are 1-dimensionality of the soluti