Radial solutions of a class of iterated partial differential equations

N. Özalp; A. Çetinkaya

Czechoslovak Mathematical Journal (2005)

  • Volume: 55, Issue: 2, page 531-541
  • ISSN: 0011-4642

Abstract

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We give some expansion formulas and the Kelvin principle for solutions of a class of iterated equations of elliptic type

How to cite

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Özalp, N., and Çetinkaya, A.. "Radial solutions of a class of iterated partial differential equations." Czechoslovak Mathematical Journal 55.2 (2005): 531-541. <http://eudml.org/doc/30967>.

@article{Özalp2005,
abstract = {We give some expansion formulas and the Kelvin principle for solutions of a class of iterated equations of elliptic type},
author = {Özalp, N., Çetinkaya, A.},
journal = {Czechoslovak Mathematical Journal},
keywords = {iterated equation; Almansi’s expansion; Kelvin principle; iterated equation; Almansi's expansion; Kelvin principle},
language = {eng},
number = {2},
pages = {531-541},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Radial solutions of a class of iterated partial differential equations},
url = {http://eudml.org/doc/30967},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Özalp, N.
AU - Çetinkaya, A.
TI - Radial solutions of a class of iterated partial differential equations
JO - Czechoslovak Mathematical Journal
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 2
SP - 531
EP - 541
AB - We give some expansion formulas and the Kelvin principle for solutions of a class of iterated equations of elliptic type
LA - eng
KW - iterated equation; Almansi’s expansion; Kelvin principle; iterated equation; Almansi's expansion; Kelvin principle
UR - http://eudml.org/doc/30967
ER -

References

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  1. Sull’ integrazione dell differenziale Δ 2 m = 0 , Ann. Mat. Ser.  II, III (1899), 1–59. (1899) 
  2. 10.1090/S0002-9939-1982-0647894-1, Proc. Am. Mat. Soc. 85 (1982), 42–46. (1982) MR0647894DOI10.1090/S0002-9939-1982-0647894-1
  3. Radial type solutions for a class of third order equations and their iterates, Math. Slovaca 49 (1999), 183–187. (1999) MR1696946
  4. On the generalized Tricomi’s equation, Comm. Fac. Sci. Univ. Ankara Ser. A 17 (1968), 1–31. (1968) MR0298256
  5. 10.1007/BF02410772, Ann. Mat. Pura Appl. 39 (1955), 245–254. (1955) Zbl0065.33102MR0075411DOI10.1007/BF02410772
  6. Expansion formulas and Kelvin principle for a class of partial differential equations, Math. Balkanica (NS) 15 (2001), 219–226. (2001) MR1891304
  7. r m -type solutions for a class of partial differential equations, Commun. Fac. Sci. Univ. Ank. Series  A1 (2001), 95–100. (2001) MR1842304

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