A singular spectral identity and inequality involving the Dirichlet integral of an ordinary differential expression

William Norrie Everitt; S. D. Wray

Czechoslovak Mathematical Journal (1982)

  • Volume: 32, Issue: 4, page 589-607
  • ISSN: 0011-4642

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Everitt, William Norrie, and Wray, S. D.. "A singular spectral identity and inequality involving the Dirichlet integral of an ordinary differential expression." Czechoslovak Mathematical Journal 32.4 (1982): 589-607. <http://eudml.org/doc/13344>.

@article{Everitt1982,
author = {Everitt, William Norrie, Wray, S. D.},
journal = {Czechoslovak Mathematical Journal},
keywords = {spectral distribution function; Dirichlet integral; strong limit-point; quadratic form; symmetric second-order differential expression},
language = {eng},
number = {4},
pages = {589-607},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A singular spectral identity and inequality involving the Dirichlet integral of an ordinary differential expression},
url = {http://eudml.org/doc/13344},
volume = {32},
year = {1982},
}

TY - JOUR
AU - Everitt, William Norrie
AU - Wray, S. D.
TI - A singular spectral identity and inequality involving the Dirichlet integral of an ordinary differential expression
JO - Czechoslovak Mathematical Journal
PY - 1982
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 32
IS - 4
SP - 589
EP - 607
LA - eng
KW - spectral distribution function; Dirichlet integral; strong limit-point; quadratic form; symmetric second-order differential expression
UR - http://eudml.org/doc/13344
ER -

References

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  1. Amos R. J., Everitt W. N., On a quadratic integral inequality, Proc. Roy. Soc. Edinburgh Sect. A 78 (1978), 241-256. (1978) Zbl0393.26008MR0466454
  2. Amos R. J., Everitt W. N., 10.1007/BF00250668, Arch. Rational Mech. Anal. 71 (1979), 15-40. (1979) Zbl0427.26007MR0522705DOI10.1007/BF00250668
  3. Bradley J. S., Everitt W. N., 10.1090/S0002-9947-1973-0330606-8, Trans. Amer. Math. Soc. 182 (1973), 303 - 321. (1973) Zbl0273.26010MR0330606DOI10.1090/S0002-9947-1973-0330606-8
  4. Bradley J. S., Everitt W. N., 10.1090/S0002-9939-1976-0425249-X, Proc. Amer. Math. Soc. 61 (1976), 29-35. (1976) MR0425249DOI10.1090/S0002-9939-1976-0425249-X
  5. Evans W. D., 10.1007/BFb0087329, Lecture Notes in Mathematics 564, Springer, Berlin (1976). (1976) Zbl0388.34013MR0593161DOI10.1007/BFb0087329
  6. Everitt W. N., Hinton D. B., Wong J. S. W., On the strong limit - n classification of linear ordinary differential expressions of order 2 n , Proc. London Math. Soc. 29 (1974), 351-367. (1974) MR0409956
  7. Everitt W. N., On the strong limit-point condition of second-order differential expressions, International conference on differential equations, 287-307, Academic Press, New York (1975). (1975) Zbl0339.34018MR0435497
  8. Everitt W. N., 10.4153/CJM-1976-033-3, Canad. J. Math. XXVIII (1976), 312-320. (1976) Zbl0338.34011MR0430391DOI10.4153/CJM-1976-033-3
  9. Friedrichs K. О., 10.1007/BF01449150, Math. Ann. 109 (1934), 465 - 487. (1934) Zbl0008.39203MR1512905DOI10.1007/BF01449150
  10. Friedrichs K. O., Spectral theory of operators in Hilbert space, Springer, Berlin (1973). (1973) Zbl0266.47001MR0470698
  11. Hinton D. В., 10.1016/0022-0396(77)90152-8, J. Differential Equations 24 (1977), 282-308. (1977) Zbl0405.34025MR0454140DOI10.1016/0022-0396(77)90152-8
  12. Hinton D. В., Eigenfunction expansions and spectral matrices of singular differential operators, Proc. Roy. Soc. Edinburgh Sect. A 80 (1978), 289-308. (1978) Zbl0389.34021MR0516229
  13. Kolf H., 10.1007/BF01350583, Math. Ann. 210 (1974), 197-205. (1974) MR0355177DOI10.1007/BF01350583
  14. Kato T., Perturbation theory for linear operators, (1st Edn.), Springer, Berlin (1966). (1966) Zbl0148.12601
  15. Kwong M. K., 10.1093/qmath/28.2.201, Quart. J. Math. Oxford (2), 28 (1977), 201-208. (1977) Zbl0403.34025MR0450658DOI10.1093/qmath/28.2.201
  16. Kwong M. K., 10.1093/qmath/28.3.329, Quart. J. Math. Oxford (2) 28 (1977), 329-338. (1977) Zbl0425.34002MR0454128DOI10.1093/qmath/28.3.329
  17. Naĭmark M. A., Linear differential operators: II, Ungar, New York (1968). (1968) 
  18. Putnam C. R., 10.2307/2372212, Amer. J. Math. 70 (1948), 780-803. (1948) Zbl0038.26501MR0030133DOI10.2307/2372212
  19. Sears D. B., Wray S. D., An inequality of C. R. Putnam involving a Dirichlet functional, Proc. Roy. Soc. Edinburgh Sect. A 75 (1976), 199-207. (1976) Zbl0334.34024MR0445057

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