On the solvability of perturbations of linear boundary value problems at resonance for functional differential equations (Q640168)
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scientific article; zbMATH DE number 5959696
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the solvability of perturbations of linear boundary value problems at resonance for functional differential equations |
scientific article; zbMATH DE number 5959696 |
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On the solvability of perturbations of linear boundary value problems at resonance for functional differential equations (English)
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17 October 2011
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Some necessary and sufficient conditions are given for the unique solvability of linear BVPs of the form \[ x^{(n)}(t)=(Tx)(t)+f(t),\;t\in[a,b], \] where \(T\) is a linear operator. The conditions are expressed in terms of norms of the positive and negative parts of some regular operators.
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functional boundary value problems
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linear perturbations
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