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Chan, C. Y. and Young, E. C.:
Comparison theorems for fourth order quasilinear matrix differential inequalities
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Serie 8 53 (1972), fasc. n.5, p. 334-341, (English)
pdf (603 Kb), djvu (896 Kb). | MR 0348243 | Zbl 0271.35027 0271.35027

Sunto

Nel presente articolo si stabilisce una "identità Picone" per una classe di matrici di quasilineari diseguaglianze differenziali del quart'ordine. La citata identità servirà a mostrare teoremi di confronto del tipo di Sturm.
Referenze Bibliografiche
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[2] M. PICONE, Un teorema sulle soluzioni delle equazioni lineari ellittiche autoaggiunte alle derivate parziali del secondo-ordine, «Atti Accad. Naz. Lincei, Rend.», 20, 213-219 (1911). | Zbl 42.0391.01
[3] K. KREITH, A generalized Picone identity, «Atti Accad. Naz. Lincei Rend.», 45, 217-220 (1968). | MR 251371 | Zbl 0194.42002
[4] K. KREITH, A comparison theorem for general elliptic equations with mixed boundary conditions, «J. Differential Equations», 8, 537-541 (1970). | fulltext (doi) | MR 265737 | Zbl 0206.11304
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[6] D. R. DUNNINGER and R. J. WEINACHT, Separation and comparison theorems for classes of singular elliptic inequalities and degenerate elliptic inequalities (to appear). | fulltext (doi) | MR 289922 | Zbl 0213.37703
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[9] K. KREITH and C. C. TRAVIS, On a comparison theorem for strongly elliptic systems, «J. Differential Equations», 10, 173-178 (1971). | fulltext (doi) | MR 294842 | Zbl 0214.35904
[10] D. R. DUNNINGER, A Picone integral identity for a class of fourth order elliptic differential inequalities, «Atti Accad. Naz. Lincei, Rend.», 50, 630-641 (1971). | MR 312039 | Zbl 0249.35023
[11] L. M. KURS, Sturmi's theorem and oscillation of solutions of strongly elliptic systems, «Dokl. Akad. Nauk. SSSR», 142, 32-35 (1962). | MR 142874
[12] J. BOCHENEK, On eigenvalues and eigenfunctions of strongly elliptic systems of differential equations of second order, «Prace Mat.», 12, 171-182 (1968). | fulltext EuDML | MR 235318 | Zbl 0234.35072
[13] J. B. DIAZ and J. R. McLAUGHLIN, Sturm separation and comparison theorems for ordinary and partial differential equations, «Atti Accad. Naz. Lincei, Mem. Cl. Sci. Fis. Mat. Nat.», sez. I, 9, 135-194 (1969). | MR 481251 | Zbl 0194.12301
[14] C. A. SWANSON, Remarks on a comparison theorem of Kreith and Travis, «J. Differential Equations», 11, 624-627 (1972). | fulltext (doi) | MR 294843 | Zbl 0235.35008
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[18] J. B. DIAZ and D. R. DUNNINGER, Sturmian theorems for a class of elliptic equations of order 2m (to appear). | fulltext (doi) | MR 470427 | Zbl 0304.35004
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[20] S. AGMON, Lectures on elliptic boundary value problems, Van Nostrand Math. Studies, no. 2, Van Nostrand, New Jersey 1965. | MR 178246 | Zbl 0142.37401

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