Nonoscillation Criteria for Elliptic Equations of Order 2 m

E. S. Noussair; N. Yoshida

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1975)

  • Volume: 59, Issue: 1-2, page 57-64
  • ISSN: 0392-7881

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Noussair, E. S., and Yoshida, N.. "Nonoscillation Criteria for Elliptic Equations of Order 2 m." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 59.1-2 (1975): 57-64. <http://eudml.org/doc/290870>.

@article{Noussair1975,
author = {Noussair, E. S., Yoshida, N.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {7},
number = {1-2},
pages = {57-64},
publisher = {Accademia Nazionale dei Lincei},
title = {Nonoscillation Criteria for Elliptic Equations of Order 2 m},
url = {http://eudml.org/doc/290870},
volume = {59},
year = {1975},
}

TY - JOUR
AU - Noussair, E. S.
AU - Yoshida, N.
TI - Nonoscillation Criteria for Elliptic Equations of Order 2 m
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1975/7//
PB - Accademia Nazionale dei Lincei
VL - 59
IS - 1-2
SP - 57
EP - 64
LA - eng
UR - http://eudml.org/doc/290870
ER -

References

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  2. GLAZMAN, I. M. (1965) - Direct Methods of Qualitative Spectral Analysis of Singular Differential Operators, Davey, New York. Zbl0143.36505MR190800
  3. HEADLEY, V. B. (1970) - Some oscillation properties of selfadjoint elliptic equations, «Proc. Amer. Math. Soc.», 25, 824-829. Zbl0197.37201MR259323DOI10.2307/2036759
  4. HEADLEY, V. B. and SWANSON, C. A. (1968) - Oscillation criteria for elliptic equations, «Pacific J. Math.», 27, 501-506. Zbl0165.44304MR236502
  5. KREITH, K. (1971) - A Picone identity for strongly elliptic systems, «Duke Math. J.», 38, 473-481. Zbl0221.35026MR280844
  6. KUKS, L. M. (1962) - Sturm's theorem and oscillation of solutions of strongly elliptic systems, «Soviet Math. Dokl.», 3, 24-27. Zbl0116.30003MR142874
  7. KUSANO, T. and YOSHIDA, N. - Nonoscillation criteria for strongly elliptic systems, «Boll. Un. Mat. Ital.» (to appear). Zbl0304.35039MR397123DOI10.1016/0370-2693(74)90747-3
  8. KUSANO, T. and YOSHIDA, N. - Comparison and nonoscillation theorems for fourth order elliptic systems, «Atti Accad. Naz. Lincei, Rend. Cl. Sci, Fis. Mat. Natur.» (to appear). Zbl0335.35007MR425319
  9. NOUSSAIR, E. S. (1971) - Oscillation theory of elliptic equations of order 2 m, «J. Differential Equations», 10, 100-111. MR280845DOI10.1016/0022-0396(71)90099-4
  10. NOUSSAIR, E. S. (1971) - Comparison and oscillation theorems for matrix differential inequalities, «Trans. Amer. Math. Soc.», 160, 203-215. Zbl0246.35038MR280846DOI10.2307/1995800
  11. PIEPENBRINK, J. (1974) - Nonoscillatory elliptic equations, «J. Differential Equations», 15, 541-550. Zbl0289.35026MR342829DOI10.1016/0022-0396(74)90072-2
  12. V. Ya. SKOROBOGAT'KO (1955) - On domains of solvability of Dirichlet's problem for self-adjoint elliptic equations, «Ukrain. Mat. Ž.», 7, 91-95 (Russian). MR72351
  13. SWANSON, C. A. (1969) - Nonoscillation criteria for elliptic equations, «Canad. Math. Bull.», 12, 275-280. Zbl0179.43103MR255961DOI10.4153/CMB-1969-034-4
  14. YOSHIDA, N. (1974) - Nonoscillation of elliptic differential equations of second order, «Hiroshima Math. J.», 4, 279-284. Zbl0299.35029MR348245
  15. YOSHIDA, N. (1975) - Nonoscillation criteria for fourth order elliptic equations, «Hiroshima Math. J.», 5, 23-31. Zbl0305.35005MR387788

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