Publication Cover
Applicable Analysis
An International Journal
Volume 58, 1995 - Issue 3-4
14
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

On bounded in a strip solutions of quasilinear partial differential equations of hyperbolic Type

Pages 199-214 | Received 12 May 1994, Published online: 02 May 2007

References

  • Aziz , A. K. 1966 . Periodic solutions of hyperbolic partial differential equations . Proc. Amer. Math. SOC , 17 : 857 – 566 .
  • Aziz , A. K. and Meyers , A. M. 1969 . Periodic solutions of hyperbolic partial differential equations in a strip . Trans. Amer. Math. Soc , 146 : 167 – 178 .
  • Aziz , A. K. and Brodsky , S. I. 1972 . Periodic solutions of a class of weakly nonlinear hyperbolic partial differehtial equations . SIAM J.Math. Anal. , 3 : 300 – 313 .
  • Caratheodory , C. 1968 . Vorlesungen uber reelle funktionen , New York : Chelsea Publ. Comp .
  • Cesari , L. 1963 . Periodic solutions of hyperbolic partial differential equations . Proc. Internat. Sympos. Non-linear Vibrations , II : 440 – 457 . (Kiev 1961), Izdt. Akad. Nauk Ukrain. SSR, Kiev,
  • Cesari , L. 1965 . A criterion for the existence in a strip of periodic solutions of hyperbolic partial differential equations . Rend. Circ. Mat. Palermo , 14 ( 2 ) : 1 – 24 .
  • Deimling , K. 1970 . caratheodory theory for systems of integral equations . Ann. Mat. pura ed Appl , 56 : 217 – 260 .
  • Hale , J. k. 1967 . Periodic solutions of a class of hyperbolic equations containing a small parameter . Arch. Rational Mech. Anal , 23 : 380 – 398 .
  • Kiguradze , T. 1992 . On existence and uniqueness of solutions of periodic boundary value problems for linear hyperbolic equations . Bull. Georgian Acad. Sci , 146 ( 3 ) : 501 – 505 .
  • Kiguradze , T. 1993 . On the correctness of periodic boundary value problems for linear hyperbolic equations . Bull. Georgian Acad. Sci , 147 ( 1 ) : 26 – 30 .
  • Kiguradze , T. 1993 . On the periodic boundary value probleins for linear hypebolic equations . I. (russian) Differentsial'nye Uravneniya , 29 ( 2 ) : 281 – 297 .
  • Kiguradze , T. 1993 . On the periodic boundary value prob[ems for linear hyperbolic equations. 11 . Differentsial'nye Uravneniya , 29 ( 4 ) : 637 – 645 . russian
  • Mitropolskii , Ju. A. and Tkach , B. P. 1969 . Periodic solutions of nonlinear systems of partial differential equations of neutral type . Ukrain. Mat. Z , 21 : 475 – 486 . russian
  • Zestkov , S. V. 1989 . On periodic solutions of nonlinear hyperbolic systems in a strip . Differentialniye Uravnenija , 25 : 1806 – 1807 . russian

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.