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.
Referenze Bibliografiche
[1] C.Y. Chan (1973) - A Sturm theorem for nonself-adjoint elliptic ineqtialities with mixed boundary conditions and its applications, «Bull. London Math. Soc.», 5, 225-228.
[2] C.Y. Chan and E.C. Young (1972) - Comparison theorems for fourth order quasilinear matrix differential inequalities, «Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur», 53, 334-341.
[3] J.B. Diaz and J.R. McLaughlin (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]
D.R. Dunninger and
R.J. Weinacht (
1971) -
Separation and comparison theorems for classes of singular elliptic inequalities and degenerate elliptic inequalities, «
Applicable Anal.»,
1, 43-45. |
Zbl 0213.37703[5]
L.M. Kuks (
1962) -
Sturm's theorem and oscillation of solutions of strongly elliptic systems, «
Soviet Math. Dokl.»,
3, 24-27. |
Zbl 0116.30003[6]
E.S. Noussair and
C.A. Swanson (
1974) -
Comparison theorems for elliptic and parabolic inequalities, «
Illinois J. Math.»,
18, 165-169. |
Zbl 0273.35025[7]
C.A. Swanson (
1975) -
Picone's identity, «
Rend. Mat.»,
8, 373-397. |
Zbl 0327.34028[8]
N. Yoshida (
1976) -
Nonoscillation and comparison theorems for a class of higher order elliptic systems, «
Japan. J. Math.»,
2, 419-434. |
Zbl 0352.35043[9]
C.Y. Chan and
E.C. Young (
1973) -
Unboundedness of solutions and comparison theorems for time-dependent quasilinear differential matrix inequalities, «
J. Differential Equations»,
14, 195-201, |
Zbl 0248.34016[10]
C.Y. Chan and
E.C. Young (
1975) -
Singular matrix solutions for time-dependent fourth order quasilinear matrix differential inequalities, «
J. Differential Equations»,
18, 386- 392. |
Zbl 0302.34010[11] D.R. Dunninger (1969) - Sturmian theorems for parabolic inequalities, «Rend. Accad. Sci. Fis. Mat. Napoli», 36, 406-410.
[12] K. Kreith (1969) - Sturmian theorems for hyperbolic equations, «Proc. Amer. Math. Soc.», 22, 277-281.
[13] K. Kreith (1969) - Sturmian theorems for characteristic initial value problems, «Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.», 47, 139-144.
[14]
C.C. Travis (
1974) -
Comparison and oscillation theorems for hyperbolic equations, «
Utilitas Math.»,
6, 139-151. |
Zbl 0296.35001[15] E.C. Young (1975) - Comparison and oscillations theorems for singular hyperbolic equations, «Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.», 59, 383-391.
[16]
C.C. Travis and
E.C. Young (
1978) -
Comparison theorems for ultrahyperbolic equations, «
Internat. J. Math. Sci.»,
1, 31-40. |
fulltext EuDML |
Zbl 0384.35005[17]
P.I. Kuznetsov and
R.L. Stratonovich (
1964) -
The propagation of electromagnetic waves in multiconductor transmission lines,
MacMillan Co., New York. |
Zbl 0124.21602[18]
D. Fox (
1959) -
The solution and Huygen's principle for a singular Cauchy problem, «
J. Math. Mech.»,
8 , 197-220. |
Zbl 0134.07802[19] M.A. Krasnosel'skii (1964) - Positive solutions of operator equations, P. Noordhoff Ldt., Groningen, The Netherlands.
Con il contributo del Ministero per i Beni e le Attività Culturali