We consider two boundary-value problems for the equation
with a linear parameter on a domain consisting of an infinite strip. These problems are not elliptic boundary-value problems with a parameter and therefore they are non-standard. We show that they are uniquely solvable in the corresponding Sobolev spaces and prove that their generalized resolvent decreases as at infinity in and .
Submitted April 25, 2002. Published June 18, 2002
Math Subject Classifications: 35J40
Key Words: Biharmonic equation, isomorphism, boundary-value problem.
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| Yakov Yakubov |
Raymond and Beverly Sackler Faculty of Exact Sciences
School of Mathematical Sciences, Tel-Aviv University
Ramat-Aviv 69978, Israel
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