Noussair, Yoshida: Nonoscillation Criteria for Elliptic Equations of Order 2 m

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 Serie 8 59 (1975), fasc. n.1-2, p. 57-64, (English)
pdf (598 Kb), djvu (755 Kb). | Zbl 0347.35007

Sunto

Vengono stabiliti criteri di non oscillazione per equazioni a derivate parziali ellittiche d'ordine pari.

Referenze Bibliografiche

[1] W. ALLEGRETTO and C. A. SWANSON (1974) - Comparison theorems for eigenvalues, «Ann. Mat. Pura Appl.», 99, 81-107. | fulltext (doi) | MR 348294 | Zbl 0278.35070

[2] I. M. GLAZMAN (1965) - Direct Methods of Qualitative Spectral Analysis of Singular Differential Operators, Davey, New York. | MR 190800 | Zbl 0143.36505

[3] V. B. HEADLEY (1970) - Some oscillation properties of selfadjoint elliptic equations, «Proc. Amer. Math. Soc.», 25, 824-829. | fulltext (doi) | MR 259323 | Zbl 0197.37201

[4] V. B. HEADLEY and C. A. SWANSON (1968) - Oscillation criteria for elliptic equations, «Pacific J. Math.», 27, 501-506. | MR 236502 | Zbl 0165.44304

[5] K. KREITH (1971) - A Picone identity for strongly elliptic systems, «Duke Math. J.», 38, 473-481. | MR 280844 | Zbl 0221.35026

[6] L. M. KUKS (1962) - Sturm's theorem and oscillation of solutions of strongly elliptic systems, «Soviet Math. Dokl.», 3, 24-27. | MR 142874 | Zbl 0116.30003

[7] T. KUSANO and N. YOSHIDA - Nonoscillation criteria for strongly elliptic systems, «Boll. Un. Mat. Ital.» (to appear). | fulltext (doi) | MR 397123 | Zbl 0304.35039

[8] T. KUSANO and N. YOSHIDA - Comparison and nonoscillation theorems for fourth order elliptic systems, «Atti Accad. Naz. Lincei, Rend. Cl. Sci, Fis. Mat. Natur.» (to appear). | MR 425319 | Zbl 0335.35007

[9] E. S. NOUSSAIR (1971) - Oscillation theory of elliptic equations of order 2 m, «J. Differential Equations», 10, 100-111. | fulltext (doi) | MR 280845

[10] E. S. NOUSSAIR (1971) - Comparison and oscillation theorems for matrix differential inequalities, «Trans. Amer. Math. Soc.», 160, 203-215. | fulltext (doi) | MR 280846 | Zbl 0246.35038

[11] J. PIEPENBRINK (1974) - Nonoscillatory elliptic equations, «J. Differential Equations», 15, 541-550. | fulltext (doi) | MR 342829 | Zbl 0289.35026

[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). | MR 72351

[13] C. A. SWANSON (1969) - Nonoscillation criteria for elliptic equations, «Canad. Math. Bull.», 12, 275-280. | fulltext (doi) | MR 255961 | Zbl 0179.43103

[14] N. YOSHIDA (1974) - Nonoscillation of elliptic differential equations of second order, «Hiroshima Math. J.», 4, 279-284. | MR 348245 | Zbl 0299.35029

[15] N. YOSHIDA (1975) - Nonoscillation criteria for fourth order elliptic equations, «Hiroshima Math. J.», 5, 23-31. | MR 387788 | Zbl 0305.35005

bdim: Biblioteca Digitale Italiana di Matematica

Un progetto SIMAI e UMI

Referenza completa

Sunto

Referenze Bibliografiche