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Original Articles

The basis property of an eigenfunction of the Frankl problem with a nonlocal parity condition in the space sobolev

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Pages 415-421 | Received 08 Aug 2010, Accepted 06 Sep 2010, Published online: 04 Jan 2011

References

  • Abbasi , N. 2009 . Basis property and completeness of eigenfunctions of the Frankl problem . Dokl. Math. , 79 ( 2 ) : 1 – 4 .
  • Bitsadze , A. V. 1983 . Nekotorye klassy uravnenii v chastnykh proizvodnykh (Same Classes of Partial Differential Equations) , Moscow : Nauka .
  • Erdelyi , A. , Magnus , W. , Oberhettinger , F. and Tricomi , F. G. 1953 . Higher Transcendental Functions (Bateman Manuscript Project) , NewYork : McGraw-Hill . (Translated under the title vysshie transtsendendentnye funktsii), Vol. 2, Moscow, 1987
  • Moiseev , E. I. 1984 . On the Basis properties of a sine and cosine systems . Dokl. Akad. Nauk. , 275 ( 4 ) : 795 – 798 .
  • Moiseev , E. I. 1987 . On the Basis properties of a sine systems . Differ. Uravn. , 23 ( 1 ) : 177 – 179 .
  • Moiseev , E. I. and Abbasi , N. 2008 . On the completeness of eigenfunctions of the Frankl problem with an oddness condition . Differ. Uravn. , 44 ( 3 ) : 408 – 412 .
  • Moiseev , E. I. and Abbasi , N. 2009 . Basis property of eigenfunctions of the generalized gas flow Frankl problem with a nonlocal oddness conditions, integral transforms and special Functions . 20 ( 2 ) : 155 – 160 .
  • E.I. Moiseev, A.P. Prudnikov, and A.M. Sedletske, Basis Properties and Completeness of Certain Systems of Elementary Functions, Reviews in Mathematics and Mathematical Physics, Vol. 12, Part 3, Moscow, 2004 (A.A. Dorodnitsyn Center Russian Academy of Sciences), Cambridge Scientific Publishers, 2008, Cambridge (in English)

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