Independence of free energy with respect to boundary conditions
β Scribed by I. D. Novikov
- Publisher
- Springer US
- Year
- 1969
- Tongue
- English
- Weight
- 528 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0016-2663
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π 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
## Abstract A new concept associated with the __reciprocity relation__ in acoustic scattering is introduced. Motivated by this wellβknown relation, which holds in all the classical cases, more general boundary value problems for the scalar Helmholtz equation are studied. These generalized boundary