Peter E. Zhidkov
We find sufficient conditions for systems of functions to be Riesz bases in . Then we improve a theorem presented in  by showing that a ``standard'' system of solutions of a nonlinear boundary-value problem, normalized to 1, is a Riesz basis in . The proofs in this article use Bari's theorem.
Submitted September 24, 2001. Published December 4, 2001
Math Subject Classifications: 41A58, 42C15, 34L10, 34L30.
Key Words: Riesz basis, infinite sequence of solutions, nonlinear boundary-value problem.
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|Peter E. Zhidkov |
Bogoliubov Laboratory of Theoretical Physics,
Joint Institute for Nuclear Research,
141980 Dubna (Moscow region), Russia
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