Reduction of symmetrizable problems with integral boundary conditions
β Scribed by Hyman J. Zimmerberg
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 554 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0022-0396
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## Abstract We investigate some classes of eigenvalue dependent boundary value problems of the form equation image where __A__ β __A__^+^ is a symmetric operator or relation in a Krein space __K__, __Ο__ is a matrix function and Ξ~0~, Ξ~1~ are abstract boundary mappings. It is assumed that __A__
It is shown that some linear two-point boundary value problems subject to non-separable boundary conditions may be reduced to initial value problems.
When an mtemally heated body IS cooled along Its boundary by a penpherally flowmg flmd that IS contmually replemshed from an external source, a dlfferentml energy balance on the boundary leads to unfamiliar boundary condltlons Such boundary condltlons Involve mued second denuatrues with respect to s