Boi, Pham Ngoc2021-08-052021-08-052007-04-05Boi, P. N. (2007). Existence of Ψ-bounded solutions for nonhomogeneous linear differential equations. <i>Electronic Journal of Differential Equations, 2007</i>(52), pp. 1-10.1072-6691https://hdl.handle.net/10877/14213In 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.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalPsi-bounded solutionPsi-integrablePsi-integrally boundedPsi-exponential dichotomyArticle