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Direct methods for solving integro-differential equations in the singular case

Direct methods for solving integro-differential equations in the singular case We study a linear integro-differential equation with a coefficient that has zeros of finite order. For its approximate solution in the space of generalized functions, we suggest and justify special generalized cases of the method of subdomains, the collocation method, and the moment method. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Direct methods for solving integro-differential equations in the singular case

Differential Equations , Volume 52 (7) – Aug 9, 2016

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References (26)

Publisher
Springer Journals
Copyright
Copyright © 2016 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266116070065
Publisher site
See Article on Publisher Site

Abstract

We study a linear integro-differential equation with a coefficient that has zeros of finite order. For its approximate solution in the space of generalized functions, we suggest and justify special generalized cases of the method of subdomains, the collocation method, and the moment method.

Journal

Differential EquationsSpringer Journals

Published: Aug 9, 2016

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