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Estimates for the Cauchy function of linear singular differential equations and some applications

Estimates for the Cauchy function of linear singular differential equations and some applications For higher-order linear singular equations, we find sharp estimates for the Cauchy function and its partial derivatives. We use these estimates to study the properties of solutions of singular differential inequalities and obtain optimal sufficient conditions for the unique solvability of the linear singular Cauchy problem. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Estimates for the Cauchy function of linear singular differential equations and some applications

Differential Equations , Volume 46 (1) – Mar 11, 2010

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References (13)

Publisher
Springer Journals
Copyright
Copyright © 2010 by Pleiades Publishing, Ltd.
Subject
Mathematics; Difference and Functional Equations; Partial Differential Equations; Ordinary Differential Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266110010052
Publisher site
See Article on Publisher Site

Abstract

For higher-order linear singular equations, we find sharp estimates for the Cauchy function and its partial derivatives. We use these estimates to study the properties of solutions of singular differential inequalities and obtain optimal sufficient conditions for the unique solvability of the linear singular Cauchy problem.

Journal

Differential EquationsSpringer Journals

Published: Mar 11, 2010

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