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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2007 Volume 48, Number 4, Pages 882–893 (Mi smj1752)
This article is cited in 12 papers

Eigenvalue problems for a mixed-type equation with two singular coefficients

M. S. Salakhitdinov, A. K. Urinov

Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan

Abstract: We find the eigenvalues and eigenfunctions of two nonlocal problems for a mixed-type equation with the singular coefficients of lower-order terms.

Keywords: mixed-type equation, singular coefficient, fundamental solution, Cauchy–Goursat problem, hypergeometric function, fractional operator.

Received: 08.06.2006


 English version: Siberian Mathematical Journal, 2007, 48:4, 707–717

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© Steklov Math. Inst. of RAS, 2024