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# The criteria of maximal dissipativity and self-adjointness for a class of differential-boundary operators with bounded operator coefficients

### Abstract

A class of the second order differential-boundary operators acting in the Hilbert space of infinite-dimensional vector-functions is investigated. The domains of considered operators are defined by nonstandard (e.g., multipoint-integral) boundary conditions. The criteria of maximal dissipativity and the criteria of self-adjointness for investigated operators are established.

### Article Information

 Title The criteria of maximal dissipativity and self-adjointness for a class of differential-boundary operators with bounded operator coefficients Source Methods Funct. Anal. Topology, Vol. 14 (2008), no. 4, 372-379 MathSciNet MR2469076 Copyright The Author(s) 2008 (CC BY-SA)

### Authors Information

H. M. Pipa
Department of Information Technology and High Mathematics, Berezhany Agrotechnical Institute, 20 Academichna, Berezhany, 47501, Ukraine

O. G. Storozh
Department of Mathematical and Functional Analysis, Lviv Ivan Franko National University, 1 Universitetska, Lviv, 79000, Ukraine

### Citation Example

H. M. Pipa and O. G. Storozh, The criteria of maximal dissipativity and self-adjointness for a class of differential-boundary operators with bounded operator coefficients, Methods Funct. Anal. Topology 14 (2008), no. 4, 372-379.

### BibTex

@article {MFAT430,
AUTHOR = {Pipa, H. M. and Storozh, O. G.},
TITLE = {The criteria of maximal dissipativity and self-adjointness for a class of differential-boundary operators with bounded operator coefficients},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {14},
YEAR = {2008},
NUMBER = {4},
PAGES = {372-379},
ISSN = {1029-3531},
MRNUMBER = {MR2469076},
URL = {http://mfat.imath.kiev.ua/article/?id=430},
}