On the Ψ-dichotomy for homogeneous linear differential equations
Abstract
In 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, +∞).
Citation
Boi, P. N. (2006). On the Ψ-dichotomy for homogeneous linear differential equations. Electronic Journal of Differential Equations, 2006(40), pp. 1-12.Rights License

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