Existence of Ψ-bounded solutions for a system of differential equations
Date
2004-04-23
Authors
Diamandescu, Aurel
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
In this article, we present a necessary and sufficient condition for the existence of solutions to the linear nonhomogeneous system x' = A(t)x + ƒ(t). Under the condition stated, for every Lebesgue Ψ-integrable function ƒ there is at least one Ψ-bounded solution on the interval (0, +∞).
Description
Keywords
Ψ-bounded, Lebesgue Ψ-integrable function
Citation
Diamandescu, A. (2004). Existence of Ψ-bounded solutions for a system of differential equations. <i>Electronic Journal of Differential Equations, 2004</i>(63), pp. 1-6.
Rights
Attribution 4.0 International