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Scientific journal of the Fergana State University

Abstract

In the present work with spectral method it was proved the uniqueness and existence of the solution of the mixed problem for a fourth order equation with singular coefficients in a rectangular domain.

First Page

10

Last Page

19

DOI

517.956

References

1. Amanov D., YUldasheva A.V. Razreshimost i spektralnыe svoystva samosopryajennoy zadachi dlya uravneniya chetvertogo poryadka // Uzb. mat. j. -2007. -№ 4. 2. Otarova J.A. Razreshimost i spektralnыe svoystva samosopryajennыx zadach dlya uravneniya chetvertogo poryadka // Uzb. mat. j. -2008. -№ 2. 3. Amanov D. Otarova J.A. Kraevaya zadacha dlya uravneniya smeshannogo tipa chetvertogo poryadka // Uzb. mat. j. 2008. № 3. 4. E.V.Maksimova, N.A.CHuesheva. Kraevaya zadacha dlya differensialnogo uravneniya chetvertogo poryadka // Vestnik KemGU. -2011. -№ 3/1. 5. Moiseev E.I. O reshenii spektralnыm metodom odnoy nelokalnoy kraevoy zadachi // Differensialnыe uravneniya. – Minsk, 1999. -№ 8 (35). 6. J.N.Vatson. Teoriya besselevыx funksiy. -Tom. 1. -M.: Izd. IL, 1949.

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