Aigerim Kalyby (Institute of Mathematics, Kazakhstan, Almaty)
On properties of multiweighted spaces and their applications to singular differential equations
Abstract.
On the basis of L.D. Kudryavtsev's spaces we construct the spaces with so called multiweighted derivatives and prove the existence of traces in the terms of these new spaces. Obtained property of the multiweighted spaces we apply to the problem of initial conditions at singular points for ordinary differential equations.
References
1. Kudryavtsev L.D. Polynomial stabilization and its application to theory of ordinary differential equations (in Russian), Differential equation, v. 29, N9, 1993, pp. 1486 -- 1503.
2. Kudryavtsev L.D. Stabilization problems for ordinary differential equations (in Russian), Differential equation, v. 29, N12, 1993, pp. 2056 -- 2078.
3. Kudryavtsev L.D. Solution asymptotic of differential equations nearby singular points (in Russian), Trudy Mat. Inst. (proceeding of Math. Institute after V.A. Steklov), v. 232, 2001, pp. 194 -- 217.


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