Andrii Goriunov, Vladimir Mikhailets, Konstantin Pankrashkin
Abstract:
We develop the machinery of boundary triplets for one-dimensional operators
generated by formally self-adjoint quasi-differential expression of arbitrary
order on a finite interval. The technique is then used to describe
all maximal dissipative, accumulative and self-adjoint extensions of the
associated minimal operator and its generalized resolvents in terms
of the boundary conditions. Some specific classes are considered in greater
detail.
Submitted March 6, 2013. Published April 19, 2013.
Math Subject Classifications: 34B05, 34L40, 47N20, 34B37.
Key Words: Quasi-differential operator; distributional coefficients;
self-adjoint extension; maximal dissipative extension;
generalized resolvent.
Show me the PDF file (265 KB), TEX file, and other files for this article.
 |
Andrii Goriunov Institute of Mathematics National Academy of Sciences of Ukraine Kyiv, Ukraine email: goriunov@imath.kiev.ua |
|---|---|
 |
Vladimir Mikhailets Institute of Mathematics National Academy of Sciences of Ukraine Kyiv, Ukraine email: mikhailets@imath.kiev.ua |
 |
Konstantin Pankrashkin Laboratory of mathematics, University Paris-Sud 11 Orsay, France email: konstantin.pankrashkin@math.u-psud.fr |
Return to the EJDE web page