Some solutions for a class of singular equations

Abdullah Altin; Ayşegül Erençin

Czechoslovak Mathematical Journal (2004)

  • Volume: 54, Issue: 4, page 969-979
  • ISSN: 0011-4642

Abstract

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In this paper we obtain all solutions which depend only on r for a class of partial differential equations of higher order with singular coefficients.

How to cite

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Altin, Abdullah, and Erençin, Ayşegül. "Some solutions for a class of singular equations." Czechoslovak Mathematical Journal 54.4 (2004): 969-979. <http://eudml.org/doc/30915>.

@article{Altin2004,
abstract = {In this paper we obtain all solutions which depend only on $r$ for a class of partial differential equations of higher order with singular coefficients.},
author = {Altin, Abdullah, Erençin, Ayşegül},
journal = {Czechoslovak Mathematical Journal},
keywords = {higher order equation solution of type $r^\{m\}$ singular equation iterated form; solution of type $r^\{m\}$; singular equation; iterated form; higher order equation; solution of type ; singular equation; iterated form},
language = {eng},
number = {4},
pages = {969-979},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some solutions for a class of singular equations},
url = {http://eudml.org/doc/30915},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Altin, Abdullah
AU - Erençin, Ayşegül
TI - Some solutions for a class of singular equations
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 4
SP - 969
EP - 979
AB - In this paper we obtain all solutions which depend only on $r$ for a class of partial differential equations of higher order with singular coefficients.
LA - eng
KW - higher order equation solution of type $r^{m}$ singular equation iterated form; solution of type $r^{m}$; singular equation; iterated form; higher order equation; solution of type ; singular equation; iterated form
UR - http://eudml.org/doc/30915
ER -

References

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  1. 10.1155/S0161171282000593, Internat. J. Math. Math. Sci. 5 (1982), 613–619. (1982) MR0669114DOI10.1155/S0161171282000593
  2. Radial type solutions for a class of third order equations and their iterates, Math. Slovaca 49 (1999), 183–187. (1999) MR1696946
  3. 10.1002/cpa.3160090312, Comm. Pure Appl. Math. 9 (1956), 403–414. (1956) MR0084050DOI10.1002/cpa.3160090312
  4. 10.1090/S0002-9904-1953-09651-3, Bull. Amer. Math. Soc. 59 (1953), 20–38. (1953) Zbl0053.25303MR0053289DOI10.1090/S0002-9904-1953-09651-3
  5. 10.1007/BF02410772, Ann. Mat. Pura Appl. 39 (1955), 245-254. (1955) Zbl0065.33102MR0075411DOI10.1007/BF02410772
  6. 10.1007/BF02414059, Ann. Mat. Pura Appl. 49 (1960), 359–365. (1960) Zbl0094.06101MR0111921DOI10.1007/BF02414059
  7. Singular partial differential equations and their applications, Proc. Sympos. Univ. of Maryland (1961), 29–49. (1961) MR0153965
  8. Representation formulas for solution of a class of partial differential equations, J. Math. 38 (1959), 145–149. (1959) 

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