L'articolo contiene teoremi di confronto per un sistema accoppiato di disequazioni differenziali iperboliche singolari nel caso in cui i coefficienti di accoppiamento non dipendono dal tempo.
@article{RLINA_1979_8_66_4_250_0,
author = {C.Y. Chan and Eutiquio C. Young},
title = {Comparison theorems for a coupled system of singular hyperbolic differential inequalities. I. Time-independent uncoupling coefficients},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
volume = {66},
year = {1979},
pages = {250-254},
zbl = {0472.35009},
language = {en},
url = {http://dml.mathdoc.fr/item/RLINA_1979_8_66_4_250_0}
}
Chan, C.Y.; Young, Eutiquio C. Comparison theorems for a coupled system of singular hyperbolic differential inequalities. I. Time-independent uncoupling coefficients. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, Tome 66 (1979) pp. 250-254. http://gdmltest.u-ga.fr/item/RLINA_1979_8_66_4_250_0/
[1] (1973) - A Sturm theorem for nonself-adjoint elliptic ineqtialities with mixed boundary conditions and its applications, «Bull. London Math. Soc.», 5, 225-228.
[2] and (1972) - Comparison theorems for fourth order quasilinear matrix differential inequalities, «Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur», 53, 334-341.
[3] and (1969) - Sturm separation and comparison theorems for ordinary and partial differential equations, «Atti Accad. Naz. Lincei Mem. Cl. Sci. Fis. Mat. Natur. Sez. 1a», 9, 135-194.
[4] and (1971) - Separation and comparison theorems for classes of singular elliptic inequalities and degenerate elliptic inequalities, «Applicable Anal.», 1, 43-45. | Zbl 0213.37703
[5] (1962) - Sturm's theorem and oscillation of solutions of strongly elliptic systems, «Soviet Math. Dokl.», 3, 24-27. | Zbl 0116.30003
[6] and (1974) - Comparison theorems for elliptic and parabolic inequalities, «Illinois J. Math.», 18, 165-169. | Zbl 0273.35025
[7] (1975) - Picone's identity, «Rend. Mat.», 8, 373-397. | Zbl 0327.34028
[8] (1976) - Nonoscillation and comparison theorems for a class of higher order elliptic systems, «Japan. J. Math.», 2, 419-434. | Zbl 0352.35043
[9] and (1973) - Unboundedness of solutions and comparison theorems for time-dependent quasilinear differential matrix inequalities, «J. Differential Equations», 14, 195-201, | Zbl 0248.34016
[10] and (1975) - Singular matrix solutions for time-dependent fourth order quasilinear matrix differential inequalities, «J. Differential Equations», 18, 386- 392. | Zbl 0302.34010
[11] (1969) - Sturmian theorems for parabolic inequalities, «Rend. Accad. Sci. Fis. Mat. Napoli», 36, 406-410.
[12] (1969) - Sturmian theorems for hyperbolic equations, «Proc. Amer. Math. Soc.», 22, 277-281.
[13] (1969) - Sturmian theorems for characteristic initial value problems, «Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.», 47, 139-144.
[14] (1974) - Comparison and oscillation theorems for hyperbolic equations, «Utilitas Math.», 6, 139-151. | Zbl 0296.35001
[15] (1975) - Comparison and oscillations theorems for singular hyperbolic equations, «Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.», 59, 383-391.
[16] and (1978) - Comparison theorems for ultrahyperbolic equations, «Internat. J. Math. Sci.», 1, 31-40. | Zbl 0384.35005
[17] and (1964) - The propagation of electromagnetic waves in multiconductor transmission lines, MacMillan Co., New York. | Zbl 0124.21602
[18] (1959) - The solution and Huygen's principle for a singular Cauchy problem, «J. Math. Mech.», 8 , 197-220. | Zbl 0134.07802
[19] (1964) - Positive solutions of operator equations, P. Noordhoff Ldt., Groningen, The Netherlands.