Existence of Ψ-bounded solutions for nonhomogeneous linear differential equations
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Date
2007-04-05
Authors
Boi, Pham Ngoc
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In this article we present a necessary and sufficient condition for the existence of ψ-bounded solution on ℝ of the nonhomogeneous linear differential equation x′ = A(t)x + ƒ(t). We associate that with the condition of the concept ψ-dichotomy on ℝ of the homogeneous linear differential equation x′ = A(t)x.
Description
Keywords
Psi-bounded solution, Psi-integrable, Psi-integrally bounded, Psi-exponential dichotomy
Citation
Boi, P. N. (2007). Existence of Ψ-bounded solutions for nonhomogeneous linear differential equations. <i>Electronic Journal of Differential Equations, 2007</i>(52), pp. 1-10.
Rights
Attribution 4.0 International