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

Open Mathematics (2005)

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

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topAyşegül 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

top- [1] E. Almansi: “Sulle integrazione dell'equazione differenziale Δ2n =0”, Ann. Math. Pura Appl., Vol. 2, (1898), pp. 1–51.
- [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] 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] 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] 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] 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] 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] 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] 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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