The two-point problem for a class of ordinary differential equations with a small parameter coefficient of the derivative
โ Scribed by Yu.P. Boglaev
- Publisher
- Elsevier Science
- Year
- 1970
- Weight
- 675 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0041-5553
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๐ SIMILAR VOLUMES
The paper studies differential equations of the form u (x) = f (x, u(x), ฮป(x)), u(x0 ) = u0 , where the righthand side is merely measurable in x. In particular sufficient conditions for the continuous and the differentiable dependence of solution u on the data and on the parameter ฮป are stated.
In this paper, we prove a limit theorem applicable to the asymptotic solution of stochastic two-point boundary-value and eigenvalue problems of a wide class of non-linear ordinary differential equations. Let E, 0 < E << 1, be a small parameter, and y ( s ) for 0 5 s <m a stochastic process. Then ~(