sufficient conditions for functions to form riesz bases in l_2 and applications to nonlinear boundary-value problems
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ID: 194934
2001
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Abstract
We find sufficient conditions for systems of functions to be Riesz bases in $L_2(0,1)$. Then we improve a theorem presented in [13] by showing that a ``standard'' system of solutions of a nonlinear boundary-value problem, normalized to 1, is a Riesz basis in $L_2(0,1)$. The proofs in this article use Bari's theorem.
| Reference Key |
zhidkov2001electronicsufficient
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| Authors | ;Peter E. Zhidkov |
| Journal | icsoft 2006 - 1st international conference on software and data technologies, proceedings |
| Year | 2001 |
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