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
Solution of nonlinear boundary value problems—IX. Evaluation of branching points based on the differentiation with respect to boundary conditions
✍ Scribed by Milan Kubíček; Vladimír Hlaváček
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 155 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0009-2509
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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
## General straightforward method for finding branching points of nonlinear boundary value problems is presented. The technique proposed utilizes the equations used in the GPM method. The method can be applied to problems arising in a number of physical applications, the technique is tailored to d