Geodesic
Generalized resolvents of symmetric relations generated on semi-axis by a differential expression and a nonnegative operator function
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 2 (2006), pp. 372-387.

Voir la notice de l'article provenant de la source Math-Net.Ru

Generalized resolvents of a minimal symmetric relation generated on the semi-axis by a formally selfadjoint differential expression and a nonnegative operator function are described. 
@article{JMAG_2006_2_a2,
     author = {V. M. Bruk},
     title = {Generalized resolvents of symmetric relations generated on semi-axis by a differential expression and a nonnegative operator function},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {372--387},
     publisher = {mathdoc},
     volume = {2},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2006_2_a2/}
}
TY  - JOUR
AU  - V. M. Bruk
TI  - Generalized resolvents of symmetric relations generated on semi-axis by a differential expression and a nonnegative operator function
JO  - Žurnal matematičeskoj fiziki, analiza, geometrii
PY  - 2006
SP  - 372
EP  - 387
VL  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JMAG_2006_2_a2/
LA  - en
ID  - JMAG_2006_2_a2
ER  - 
%0 Journal Article
%A V. M. Bruk
%T Generalized resolvents of symmetric relations generated on semi-axis by a differential expression and a nonnegative operator function
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2006
%P 372-387
%V 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JMAG_2006_2_a2/
%G en
%F JMAG_2006_2_a2
V. M. Bruk. Generalized resolvents of symmetric relations generated on semi-axis by a differential expression and a nonnegative operator function. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 2 (2006), pp. 372-387. http://geodesic.mathdoc.fr/item/JMAG_2006_2_a2/

[1] A. V. Straus, “On the Generalized Resolvents and Spectral Functions of the Differential Operator of the Even Order”, Izv. Acad. Nauk SSSR. Ser. Mat., 21:1 (1957), 785–808 (Russian) | MR

[2] V. M. Bruk, “On the Generalized Resolvents and Spectral Functions of the Differential Operator of the Even Order in the Space of Vector Functions”, Mat. Zametki, 15:6 (1974), 945–954 (Russian) | MR | Zbl

[3] V. M. Bruk, “On the Linear Relation in the Space of Vector Functions”, Mat. Zametki, 24:4 (1978), 499–511 (Russian) | MR | Zbl

[4] V. M. Bruk, On the Generalized Resolvents of the Linear Relations Generated by Differential Expression and Nonnegative Operator Function, Dep. VINITI, No 8827-B85, Novosibirsk, 1985, 18 pp. (Russian) | Zbl

[5] V. I. Khrabustovsky, “Spectral Analysis of Periodical Systems with Degenerate Weight on Axis and Semi-axis”, Theory Funct., Funct. Anal. and Appl., 44, Kharkov Univ., Kharkov, 1985, 122–133 (Russian) | MR

[6] F. S. Rofe-Beketov, A. M. Kholkin, Spectral Analysis of Differential Operators, 7, World Sci. Monogr. Ser. Math., 2005 | MR | Zbl

[7] V. I. Kogan, F. S. Rofe-Beketov, “On Square-Integrable Solutions of Symmetric Systems of Differential Equations of Arbitrary Order”, Proc. Roy. Soc. Edinburgh. A, 74 (1975), 5–40 | MR

[8] V. I. Gorbatchuk, M. L. Gorbatchuk, Boundary Value Problems for Differential-Operator Equations, Kluwer Acad. Publ., Dordrecht–Boston–London, 1991

[9] J. L. Lions, E. Magenes, Problemes aux Limities non Homogenenes et Applications, Dunod, Paris, 1968

[10] H. Schaefer, Topological Vector Spaces, The Macmillan Company, New York ; Collier-Macmillan Lim., London, 1966 | MR | Zbl

[11] V. M. Bruk, “On Boundary Value Problems Associated with Holomorphic Families of Operators”, Funct. Anal., Ulyanovsk, 29 (1989), 32–42 (Russian) | MR | Zbl