A multi-step linearization technique for a class of boundary value problems in non-linear mechanics
β Scribed by Rajesh Kumar; L. S. Ramachandra; D. Roy
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 183 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0178-7675
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## Abstract The paper studies the existence, asymptotic behaviour and stability of global solutions to the initial boundary value problem for a class of strongly damped nonβlinear wave equations. By a H00.5ptkβGalerkin approximation scheme, it proves that the aboveβmentioned problem admits a unique
algorithm a b s t r a c t In order to solve a class of linear nonlocal boundary value problems, a new reproducing kernel space satisfying nonlocal conditions is constructed carefully. This makes it easy to solve the problems. Furthermore, the exact solutions of the problems can be expressed in seri