Cauchy problem for a differential equation in the Banach space with generalized strongly positive operator coefficient

Cauchy problem for a differential equation in the Banach space with generalized strongly positive operator coefficient

The concept of strongly positive operator is generalized and the properties of the introduced operators are analyzed. The solutions of the Cauchy problem for a linear inhomogeneous differential equation with generalized strongly positive operator coefficient are obtained.

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Veröffentlicht in:Ukrainian mathematical journal 2012, Vol.63 (8), p.1213-1233
Hauptverfasser: Il’chenko, Yu. V., Chaikovs’kyi, A. V.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Differential equations
Geometry
Mathematics
Mathematics and Statistics
Statistics
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Beschreibung
Zusammenfassung:The concept of strongly positive operator is generalized and the properties of the introduced operators are analyzed. The solutions of the Cauchy problem for a linear inhomogeneous differential equation with generalized strongly positive operator coefficient are obtained.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-012-0573-9