Comparison theorems for fourth order quasilinear matrix differential inequalities
- Volume: 53, Issue: 5, page 334-341
- ISSN: 0392-7881
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topChan, 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 53.5 (1972): 334-341. <http://eudml.org/doc/295826>.
@article{Chan1972,
author = {Chan, C. Y., Young, E. C.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {11},
number = {5},
pages = {334-341},
publisher = {Accademia Nazionale dei Lincei},
title = {Comparison theorems for fourth order quasilinear matrix differential inequalities},
url = {http://eudml.org/doc/295826},
volume = {53},
year = {1972},
}
TY - JOUR
AU - Chan, C. Y.
AU - Young, E. C.
TI - Comparison theorems for fourth order quasilinear matrix differential inequalities
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1972/11//
PB - Accademia Nazionale dei Lincei
VL - 53
IS - 5
SP - 334
EP - 341
LA - eng
UR - http://eudml.org/doc/295826
ER -
References
top- INCE, E. L., Ordinary differential equations, Dover, New York1956. MR10757
- PICONE, M., Un teorema sulle soluzioni delle equazioni lineari ellittiche autoaggiunte alle derivate parziali del secondo-ordine, «Atti Accad. Naz. Lincei, Rend.», 20, 213-219 (1911). Zbl42.0391.01
- KREITH, K., A generalized Picone identity, «Atti Accad. Naz. Lincei Rend.», 45, 217-220 (1968). Zbl0194.42002MR251371
- KREITH, K., A comparison theorem for general elliptic equations with mixed boundary conditions, «J. Differential Equations», 8, 537-541 (1970). Zbl0206.11304MR265737DOI10.1016/0022-0396(70)90026-4
- DUNNINGER, D. R., A Picone identity for nonself-adjoint elliptic operators, «Atti Accad. Naz. Lincei, Rend.», 48, 133-139 (1970). Zbl0195.39403MR299926
- DUNNINGER, D. R. and WEINACHT, R. J., Separation and comparison theorems for classes of singular elliptic inequalities and degenerate elliptic inequalities (to appear). Zbl0213.37703MR289922DOI10.1080/00036817108839005
- KREITH, K., A Sturm theorem for strongly elliptic systems and applications, «Bull. Amer. Math. Soc.», 75, 1025-1027 (1969). Zbl0179.43104MR249824DOI10.1090/S0002-9904-1969-12346-3
- KREITH, K., A Picone identity for strongly elliptic systems, «Duke Math. J.», 38, 473-481 (1971). Zbl0221.35026MR280844
- KREITH, K. and TRAVIS, C. C., On a comparison theorem for strongly elliptic systems, «J. Differential Equations», 10, 173-178 (1971). Zbl0214.35904MR294842DOI10.1016/0022-0396(71)90104-5
- DUNNINGER, D. R., A Picone integral identity for a class of fourth order elliptic differential inequalities, «Atti Accad. Naz. Lincei, Rend.», 50, 630-641 (1971). Zbl0249.35023MR312039
- KURS, L. M., Sturmi's theorem and oscillation of solutions of strongly elliptic systems, «Dokl. Akad. Nauk. SSSR», 142, 32-35 (1962). MR142874
- BOCHENEK, J., On eigenvalues and eigenfunctions of strongly elliptic systems of differential equations of second order, «Prace Mat.», 12, 171-182 (1968). Zbl0234.35072MR235318
- DIAZ, J. B. and McLAUGHLIN, J. R., 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). Zbl0194.12301MR481251
- SWANSON, C. A., Remarks on a comparison theorem of Kreith and Travis, «J. Differential Equations», 11, 624-627 (1972). Zbl0235.35008MR294843DOI10.1016/0022-0396(72)90071-X
- NOUSSAIR, E. S., Comparison and oscillation theorems for matrix differential inequalities, «Trans. Amer. Math. Soc.», 160, 203-215 (1971). Zbl0246.35038MR280846DOI10.2307/1995800
- SWANSON, C. A., Comparison theorems for elliptic differential systems, «Pacific J. Math.», 33, 445-450 (1970). Zbl0177.14703MR262650
- DIAZ, J. B. and DUNNINGER, D. R., Sturm separation and comparison theorems for a class of fourth order ordinary and partial differential equations, «Applicable Anal.», in press. Zbl0319.35009MR397122DOI10.1080/00036817508839101
- DIAZ, J. B. and DUNNINGER, D. R., Sturmian theorems for a class of elliptic equations of order 2m (to appear). Zbl0304.35004MR470427DOI10.1080/00036817408839075
- GANTMACHER, F. R., The theory of matrices, Vol. 1, Chelsea, New York1959. Zbl0085.01001MR107648
- AGMON, S., Lectures on elliptic boundary value problems, Van Nostrand Math. Studies, no. 2, Van Nostrand, New Jersey1965. Zbl0142.37401MR178246
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