Raymond and Beverly Sackler Faculty of Exact Sciences
School of Mathematical Sciences, Tel-Aviv University
Ramat-Aviv 69978, Israel
e-mail: yakubov@post.tau.ac.il
Yakov Yakubov
Abstract:
Boundary-value problems for second order abstract differential
equations on a semi-axis are considered in this article.
We find isomorphisms for the corresponding operators and
prove completeness of elementary solutions corresponding to
subsets of eigenvalues. As an application of the abstract results,
we study second order elliptic equations in semi-infinite tube domains.
Our results can be applied to pure differential, integro-differential,
functional-differential and equations with a shift.
Submitted October 29, 2001. Published January 2, 2002.
Math Subject Classifications: 47E05, 35J25, 35P10.
Key Words: Abstract differential equations, second order elliptic
equations, semi-infinite tube domains, isomorphism, completeness.
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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 e-mail: yakubov@post.tau.ac.il |
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