Radial-type complete solutions for a class of partial differential equations

Ayşegül Çetinkaya; Nuri Özalp

Open Mathematics (2005)

  • Volume: 3, Issue: 3, page 508-515
  • ISSN: 2391-5455

Abstract

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We give some fundamental solutions of a class of iterated elliptic equations including Laplace equation and its iterates.

How to cite

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Ayşegül Çetinkaya, and Nuri Özalp. "Radial-type complete solutions for a class of partial differential equations." Open Mathematics 3.3 (2005): 508-515. <http://eudml.org/doc/268818>.

@article{AyşegülÇetinkaya2005,
abstract = {We give some fundamental solutions of a class of iterated elliptic equations including Laplace equation and its iterates.},
author = {Ayşegül Çetinkaya, Nuri Özalp},
journal = {Open Mathematics},
keywords = {35A08; 35C05; 35G99},
language = {eng},
number = {3},
pages = {508-515},
title = {Radial-type complete solutions for a class of partial differential equations},
url = {http://eudml.org/doc/268818},
volume = {3},
year = {2005},
}

TY - JOUR
AU - Ayşegül Çetinkaya
AU - Nuri Özalp
TI - Radial-type complete solutions for a class of partial differential equations
JO - Open Mathematics
PY - 2005
VL - 3
IS - 3
SP - 508
EP - 515
AB - We give some fundamental solutions of a class of iterated elliptic equations including Laplace equation and its iterates.
LA - eng
KW - 35A08; 35C05; 35G99
UR - http://eudml.org/doc/268818
ER -

References

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  1. [1] E. Almansi: “Sulle integrazione dell'equazione differenziale Δ2n =0”, Ann. Math. Pura Appl., Vol. 2, (1898), pp. 1–51. 
  2. [2] A. Altin: “Some expansion formulas for a class of singular partial differential equations”, Proc. Am. Mat. Soc., Vol. 85(1), (1982), pp. 42–46. http://dx.doi.org/10.2307/2043278 Zbl0486.35018
  3. [3] A. Altin: “Solutions of type r m for a class of singular equations”, Inter. J. Math. and Math. Sci., Vol. 5, (1982), pp. 613–619. http://dx.doi.org/10.1155/S0161171282000593 Zbl0492.35003
  4. [4] A. Altin: “Radial type solutions for a class of third order equations and their iterates”, Math. Slovaca, Vol. 19(2), (1999), pp. 183–187. Zbl0959.35129
  5. [5] L.N. Lyakhov and A.V. Ryzhkov: “Solutions of the B-polyharmonic equation”, Differential Equations, Vol. 36(10), (2000), pp. 1507–1511; Translated from: Differetsial'nye Uravneniya, Vol. 36(10), (2000), pp. 1365–1368. http://dx.doi.org/10.1007/BF02757391 Zbl1003.31002
  6. [6] N. Özalp: “ r m -type solutions for a class of partial differential equations”, Commun. Fac. Sci. Univ. Ank. Series A1, Vol. 49, (2000), pp. 95–100. Zbl0999.35035
  7. [7] N. Özalp and A. Çetinkaya: “Expansion formulas and Kelvin principle for a class of partial differential equations”, Mathematica Balkanica, New Series, Vol. 15, (2001), pp. 220–226. Zbl1090.35518
  8. [8] N Özalp and A. Çetinkaya: “Radial solutions of a class of iterated partial differential equations”, Czechoslovak Mathematical Journal, Vol. 55(2), (2005), pp. 531–541. http://dx.doi.org/10.1007/s10587-005-0044-7 Zbl1081.35006
  9. [9] A. Altin-A. Erençin: “Some solutions for a class of singular equations”, Czechoslovak Mathematical Journal, Vol. 54(4), (2004), pp. 969–979. http://dx.doi.org/10.1007/s10587-004-6445-1 Zbl1080.35011

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