Solvability of convolution type integro-differential equations on \(\mathbb R\) (Q944130)
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scientific article; zbMATH DE number 5343525
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solvability of convolution type integro-differential equations on \(\mathbb R\) |
scientific article; zbMATH DE number 5343525 |
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Solvability of convolution type integro-differential equations on \(\mathbb R\) (English)
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12 September 2008
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By a special factorization of the corresponding integro-differential operator in combination with appropriately modified standard methods of the theory of convolution type integral equations, the solutions of one kind of integro-differential equations are obtained in the class of functions which are absolutely continuous and of slow growth on \(\mathbb R\) under some assumptions of the coefficients, the kernel and known functions.
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integro-differential equation
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factorization of operator
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Volterra operator
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resolvent
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convolution type integral equations
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