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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