In this paper we present some new results of symmetry for inhomogeneous Dirichlet eigenvalue problems overdetermined by a condition involving the gradient of the first eigenfunction on the boundary. One specificity of the problem studied is the dependence of the equation and the boundary condition o
On a class of generalized eigenvalue problems and equivalent eigenvalue problems that arise in systems and control theory
β Scribed by Martin Corless; Robert Shorten
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 412 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0005-1098
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An idea of Born is reviewed and elaborated to non-separable quantum-mechanical eigenvalue problems in which the SchrΓΆdinger equation can be solved exactly for a subconfiguration. (By subconfiguration we mean a subsystem in which one dynamic variable of the whole system is considered as parameter; de