Slowly growing solutions of singular linear functional differential systems

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Authors	PYLYPENKO Vita RONTÓ András
Year of publication	2012
Type	Article in Periodical
Magazine / Source	Mathematische Nachrichten
MU Faculty or unit	Faculty of Science
Citation
Web	http://onlinelibrary.wiley.com/doi/10.1002/mana.201000014/abstract
Doi	http://dx.doi.org/10.1002/mana.201000014
Field	General mathematics
Keywords	Functional differential equation; singular Cauchy problem; slowly growing solution; initial value problem; singular coefficients msc (2010) 34K06; 34K12
Description	We obtain new conditions under which a system of linear functional differential equations with singular coefficients has a unique solution possessing a given initial value and satisfying a certain growth restriction.