Sufficient conditions for functions to form Riesz bases in L_2 and applications to nonlinear boundary-value problems
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...
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| Format: | Article |
| Language: | English |
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Texas State University
2001-12-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2001/74/abstr.html |