Differentiation of solutions of lidstone boundary value problems with respect to the boundary data
✍ Scribed by J.M Davis
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 775 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0895-7177
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✦ Synopsis
solutions of the 2mth-order nonlinear differential equation ?P) = f (I, u,u', . . . , Py satisfying Lidstone boundary conditions are differentiated with respect to both boundary points and boundary values. The resulting functions are then shown to be solutions of the corresponding variational equation satisfying specific boundary conditions.
📜 SIMILAR VOLUMES
We consider solutions of boundary value problems for the ordinary differential equation. \(y^{\prime n}=f\left(x, y, y^{\prime}, \ldots, y^{\prime n}{ }^{\prime \prime}\right)\), which satisfy \(g_{i}\left(y(x), \ldots, y^{\prime n}{ }^{11}\left(x_{i}\right)\right)=y_{i}\), \(1 \leqslant i \leqslant
A simple numerical method for construction of the dependence of solutions to nonlinear boundary value problem on a parameter will be developed. The set of differential equations is diiferentiated with respect to the boundary condition chosen and the resulting partial differential equations are solve