Slowly growing solutions of singular linear functional differential systems

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.

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Bibliographische Detailangaben
Veröffentlicht in:	Mathematische Nachrichten 2012-04, Vol.285 (5-6), p.727-743
Hauptverfasser:	Pylypenko, V., Ronto, A.
Format:	Artikel
Sprache:	eng
Schlagworte:	34K12 Functional differential equation initial value problem singular Cauchy problem singular coefficients msc 34K06 slowly growing solution
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	0025-584X 1522-2616
DOI:	10.1002/mana.201000014