Comparison theorems for a coupled system of singular hyperbolic differential inequalities. I. Time-independent uncoupling coefficients

C.Y. Chan; Eutiquio C. Young

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1979)

  • Volume: 66, Issue: 4, page 250-254
  • ISSN: 0392-7881

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Chan, C.Y., and 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 66.4 (1979): 250-254. <http://eudml.org/doc/288712>.

@article{Chan1979,
author = {Chan, C.Y., Young, Eutiquio C.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {4},
number = {4},
pages = {250-254},
publisher = {Accademia Nazionale dei Lincei},
title = {Comparison theorems for a coupled system of singular hyperbolic differential inequalities. I. Time-independent uncoupling coefficients},
url = {http://eudml.org/doc/288712},
volume = {66},
year = {1979},
}

TY - JOUR
AU - Chan, C.Y.
AU - Young, Eutiquio C.
TI - Comparison theorems for a coupled system of singular hyperbolic differential inequalities. I. Time-independent uncoupling coefficients
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1979/4//
PB - Accademia Nazionale dei Lincei
VL - 66
IS - 4
SP - 250
EP - 254
LA - eng
UR - http://eudml.org/doc/288712
ER -

References

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  1. Chan, C.Y. (1973) - A Sturm theorem for nonself-adjoint elliptic ineqtialities with mixed boundary conditions and its applications, «Bull. London Math. Soc.», 5, 225-228. 
  2. Chan, C.Y. and Young, E.C. (1972) - Comparison theorems for fourth order quasilinear matrix differential inequalities, «Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur», 53, 334-341. 
  3. Diaz, J.B. and McLaughlin, J.R. (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. Dunninger, D.R. and Weinacht, R.J. (1971) - Separation and comparison theorems for classes of singular elliptic inequalities and degenerate elliptic inequalities, «Applicable Anal.», 1, 43-45. Zbl0213.37703
  5. Kuks, L.M. (1962) - Sturm's theorem and oscillation of solutions of strongly elliptic systems, «Soviet Math. Dokl.», 3, 24-27. Zbl0116.30003
  6. Noussair, E.S. and Swanson, C.A. (1974) - Comparison theorems for elliptic and parabolic inequalities, «Illinois J. Math.», 18, 165-169. Zbl0273.35025
  7. Swanson, C.A. (1975) - Picone's identity, «Rend. Mat.», 8, 373-397. Zbl0327.34028
  8. Yoshida, N. (1976) - Nonoscillation and comparison theorems for a class of higher order elliptic systems, «Japan. J. Math.», 2, 419-434. Zbl0352.35043
  9. Chan, C.Y. and Young, E.C. (1973) - Unboundedness of solutions and comparison theorems for time-dependent quasilinear differential matrix inequalities, «J. Differential Equations», 14, 195-201, Zbl0248.34016
  10. Chan, C.Y. and Young, E.C. (1975) - Singular matrix solutions for time-dependent fourth order quasilinear matrix differential inequalities, «J. Differential Equations», 18, 386- 392. Zbl0302.34010
  11. Dunninger, D.R. (1969) - Sturmian theorems for parabolic inequalities, «Rend. Accad. Sci. Fis. Mat. Napoli», 36, 406-410. 
  12. Kreith, K. (1969) - Sturmian theorems for hyperbolic equations, «Proc. Amer. Math. Soc.», 22, 277-281. 
  13. Kreith, K. (1969) - Sturmian theorems for characteristic initial value problems, «Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.», 47, 139-144. 
  14. Travis, C.C. (1974) - Comparison and oscillation theorems for hyperbolic equations, «Utilitas Math.», 6, 139-151. Zbl0296.35001
  15. Young, E.C. (1975) - Comparison and oscillations theorems for singular hyperbolic equations, «Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.», 59, 383-391. 
  16. Travis, C.C. and Young, E.C. (1978) - Comparison theorems for ultrahyperbolic equations, «Internat. J. Math. Sci.», 1, 31-40. Zbl0384.35005
  17. Kuznetsov, P.I. and Stratonovich, R.L. (1964) - The propagation of electromagnetic waves in multiconductor transmission lines, MacMillan Co., New York. Zbl0124.21602
  18. Fox, D. (1959) - The solution and Huygen's principle for a singular Cauchy problem, «J. Math. Mech.», 8 , 197-220. Zbl0134.07802
  19. Krasnosel'skii, M.A. (1964) - Positive solutions of operator equations, P. Noordhoff Ldt., Groningen, The Netherlands. 

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