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The use of even and odd Fourier-Bessel transform to the study of some singular differential-equations

Annotation

The ordinary differential equation with singular differential operator Bessel is considered. For research of possible decisions is applied “full transformation of Fourier-Bessel”, entered by I.A. Kiprijanov and V.V. Katrahov. The technique of researches is checked on known decisions of poligarmonic operator and the B-polyharmonious operator.

Keywords

full transformation of Fourier-Bessel; even and odd component; singular differential equations

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UDC

519.9:532

Pages

38-44

References

1. Kipriyanov I.A., Katrakhov V.V. Ob odnom klasse odnomernykh singulyarnykh psevdodifferentsial'nykh operatorov // Mat. sbornik. 1977. T. 104. № 1. S. 49-68. 2. Kipriyanov I.A. Singulyarnye ellipticheskie kraevye zadachi. M.: Nauka, 1997. 199 s. 3. Levitan B.M. Operatory obobshchennogo sdviga i nekotorye ikh prilozheniya. M.: GIFML, 1962. 323 s. 4. Lyakhov L.N., Lyakhova S.L. Obshchee preobrazovanie Fur'e–Besselya i singulyarnye sistemy uravneniy Nav'e–Stoksa // DAN. 2004. T. 399. № 2. S. 157-162. 5. Vladimirov V.S. Uravneniya matematicheskoy fiziki. M.: Nauka, 1967. 152 s. 6. Bokhner A.M. Lektsii ob integralakh Fur'e. M., 1962. 360 s. 7. Lyakhov L.N. O svertyvatelyakh i mul'tiplikatorakh klassov funktsiy, svyazannykh s preobrazovaniem Fur'e–Besselya // DAN. 1998. T. 360. № 1. S. 16-19.

Received

2015-02-06

Section of issue

Scientific articles

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