On the Ψ-dichotomy for homogeneous linear differential equations

Boi, Pham Ngoc2021-07-162021-07-162006-03-26Boi, P. N. (2006). On the Ψ-dichotomy for homogeneous linear differential equations. <i>Electronic Journal of Differential Equations, 2006</i>(40), pp. 1-12.1072-6691https://hdl.handle.net/10877/13913In this article we present some conditions for the ψ-dichotomy of the homogeneous linear differential equation x′ = A(t)x. Under our condition every ψ-integrally bounded function ƒ the nonhomogeneous linear differential equation x′ = A(t)x + ƒ(t) has at least one ψ-bounded solution on (0, +∞).Text12 pages1 file (.pdf)enAttribution 4.0 InternationalΨ-boundedΨ-integrableΨ-integrally boundedΨ-exponentialOn the Ψ-dichotomy for homogeneous linear differential equationsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.