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

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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.


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Article Information

TitleThe criteria of maximal dissipativity and self-adjointness for a class of differential-boundary operators with bounded operator coefficients
SourceMethods Funct. Anal. Topology, Vol. 14 (2008), no. 4, 372-379
MathSciNet MR2469076
CopyrightThe 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},
       URL = {http://mfat.imath.kiev.ua/article/?id=430},
}


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