Fundamental decay mode and asymptotic behaviour of positive semigroups

Ivo Marek

Czechoslovak Mathematical Journal (1980)

  • Volume: 30, Issue: 4, page 579-590
  • ISSN: 0011-4642

How to cite

top

Marek, Ivo. "Fundamental decay mode and asymptotic behaviour of positive semigroups." Czechoslovak Mathematical Journal 30.4 (1980): 579-590. <http://eudml.org/doc/13224>.

@article{Marek1980,
author = {Marek, Ivo},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {4},
pages = {579-590},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Fundamental decay mode and asymptotic behaviour of positive semigroups},
url = {http://eudml.org/doc/13224},
volume = {30},
year = {1980},
}

TY - JOUR
AU - Marek, Ivo
TI - Fundamental decay mode and asymptotic behaviour of positive semigroups
JO - Czechoslovak Mathematical Journal
PY - 1980
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 30
IS - 4
SP - 579
EP - 590
LA - eng
UR - http://eudml.org/doc/13224
ER -

References

top
  1. Albertoni S., Montagnini В., 10.1016/0022-247X(66)90073-4, J. Math. Anal. Appl. 13, 19-48, 1966. (1966) Zbl0144.48304MR0189741DOI10.1016/0022-247X(66)90073-4
  2. Hille E., Phillips R. S., Functional Analysis and Semigroups, Revised Edition, American Math. Soc. Colloq. Publ. Vol. XXXI, Providence, 1957. (1957) Zbl0078.10004MR0089373
  3. Jörgens K., 10.1002/cpa.3160110206, Comm. Pure Appl. Math. 11, 219-242, 1957. (1957) MR0103419DOI10.1002/cpa.3160110206
  4. Kaper H. G., 10.1080/00411457508214535, Transport Theory and Stat. Physics 4, 13, 125-134, 1975. (1975) MR0465011DOI10.1080/00411457508214535
  5. Krein M. G., Rutman M. A., Linear operators leaving invariant a cone in a Banach space, Uspekhi mat. nauk. III, N1, 3 - 95, 1948, (Russian). English translation in Amer. Math. Soc. Translations No. 26, pp. 128, 1950. (1948) Zbl0030.12902MR0027128
  6. Larsen E. W., Zweifel P. F., 10.1063/1.1666570, J. Math.-Phys. 15, 1987-1997, 1974. (1987) MR0359648DOI10.1063/1.1666570
  7. Lehner J., 10.1002/cpa.3160090320, Comm. Pure Appl. Math. 9, 487-497, 1956. (1956) Zbl0070.45302MR0084097DOI10.1002/cpa.3160090320
  8. Lehner J., Wing G. M., On the spectrum of an unsymmetric operator arising in the transport theory of neutrons, Comm. Pure Appl. Math. 8, 217-234, 1955. (1955) Zbl0064.23004MR0070038
  9. Lehner J., Wing G. M., Solution of the linearized Boltzman equation for the slab geometry, Duke Math. J. 23, 125-142, 1956. (1956) MR0079214
  10. Marek I., 10.1137/0119060, SIAM J. Appl. Math. 19, 607-628, 1970. (1970) Zbl0219.47022MR0415405DOI10.1137/0119060
  11. Marek I., On some spectral properties of Radon-Nikolskii operators and their generalizations, Comment. Math. Univ. Carol. 3: 1, 20-30, 1962. (1962) MR0144216
  12. Niiro F., Sawashima I., On spectral properties of positive irreducible operators in an arbitrary Banach lattice and problems of H. H. Schaefer, Sci. Papers College Gen. Educ., Univ. of Tokyo, 16, 145-183, 1966. (1966) MR0205084
  13. Sawashima I., Spectral properties of some positive operators, Natur. Sci. Rep. Ochanomizu Univ. 15. 55-64, 1964. (1964) Zbl0138.07801MR0187096
  14. Schaefer H. H., Banach Lattices and Positive Operators, Springer Verlag, Berlin-Heidelberg-New York, 1974. (1974) Zbl0296.47023MR0423039
  15. Shikhov S. В., Lectures in Mathematical Theory of Reactors. I. Linear Theory, Atomizdat, Moscow, 1973 (Russian). (1973) 
  16. Shizuta Y., On the classical solutions of the Boltzmann equation, Preprint 1977. (1977) MR0720591
  17. Taylor A. E., Introduction to Functional Analysis, J. Wiley Publ., New York, 1958. (1958) Zbl0081.10202MR0098966
  18. Ukai S., On the existence of global solutions of mixed problem from non-linear Boltzmann equation, Proc. Japan Acad. 50, 179-184, 1974. (1974) MR0363332
  19. Vidav I., 10.1016/0022-247X(68)90166-2, J. Math. Anal. Appl. 22, 144-155, 1968. (1968) MR0230531DOI10.1016/0022-247X(68)90166-2
  20. Vidav I., 10.1016/0022-247X(70)90160-5, J. Math. Anal. Appl. 30, 264-279, 1970. (1970) Zbl0195.13704MR0259662DOI10.1016/0022-247X(70)90160-5
  21. Wing G. M., An Introduction to Transport Theory, J. Wiley Publ., New York, 1962. (1962) MR0155646

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.