Geodesic
Nonlocal boundary value problem for a~Lykov's type system of~first-order
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2011), pp. 140-150

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In this paper we prove the unique solution of the problem with a shift to a Lykov's type system of differential equations of first order. The proof is given for different values of the generalized operators of fractional integro-differentiation included in the boundary condition.
Keywords: nonlocal value boundary problem, system of differential equations, integral equations. 
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     author = {O. A. Repin and S. K. Kumykova},
     title = {Nonlocal boundary value problem for {a~Lykov's} type system of~first-order},
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O. A. Repin; S. K. Kumykova. Nonlocal boundary value problem for a~Lykov's type system of~first-order. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2011), pp. 140-150. http://geodesic.mathdoc.fr/item/VSGTU_2011_1_a18/