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News of the Kabardin-Balkar scientific center of RAS, 2010, Issue 5, Pages 5–14
(Mi izkab666)
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This article is cited in 3 scientific papers (total in 3 papers)
MATHEMATICS. MATHEMATIC MODELING
Inside boundary value problem
for mixed type equation of the third order
with multiple characteristics
V. A. Eleev, S. K. Kumykova Kabardin-Balkar State University named after H.M. Berbekov,
360004, Nalchik, 173, Chernyshevsky street
Abstract:
We investigated a boundary value problem with operator fractional differentiation in boundary conditions for mixed type equation of the third order. At restrictions of inequality type on the known functions
and different order fractional differentiation operator in boundary condition the uniqueness theorem is
proved. Existence of the solution is proved by way to reductions to second sort equation of Fredgolm,
unconditional solubility of which follows from uniqueness of the solution of the problem.
Keywords:
inside boundary value problem, operator of fractional differentiation, operator of fractional integration, Fredholm equation, Cauchy problem, equation with multiple characteristic.
Received: 16.07.2010
Citation:
V. A. Eleev, S. K. Kumykova, “Inside boundary value problem
for mixed type equation of the third order
with multiple characteristics”, News of the Kabardin-Balkar scientific center of RAS, 2010, no. 5, 5–14
Linking options:
https://www.mathnet.ru/eng/izkab666 https://www.mathnet.ru/eng/izkab/y2010/i5/p5
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Abstract page: | 16 | Full-text PDF : | 1 | References: | 6 |
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