Remarks on the periodic boundary value problems for integrodifferential equations of Volterra type (Q1767876)
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scientific article; zbMATH DE number 2142414
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remarks on the periodic boundary value problems for integrodifferential equations of Volterra type |
scientific article; zbMATH DE number 2142414 |
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Remarks on the periodic boundary value problems for integrodifferential equations of Volterra type (English)
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8 March 2005
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The authors use the monotone iterative technique to investigate the existence of extreme solutions to Volterra-type integro-differential equations. The paper begins by presenting a comparison result that is used in the subsequent analysis. The main result of the paper is the construction of monotone sequences \(\{\alpha_n\}\) and \(\{\beta_n\}\) whose uniform limits are, respectively, extremal solutions of the boundary value problem.
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integro-differential equation
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boundary value problems
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monotone iterative technique
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Volterra type integro-differential equations
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extreme solutions
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0.96233207
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0.9541604
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0.9418283
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0.92889357
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