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Differentsial'nye Uravneniya, 2010, Volume 46, Number 1, Pages 29–46
(Mi de28)
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This article is cited in 2 scientific papers (total in 2 papers)
Estimates for the Cauchy function of linear singular differential equations and some applications
T. I. Kiguradze Florida Institute of Technology
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.
Received: 25.05.2009
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