On the Ψ-dichotomy for homogeneous linear differential equations
Boi, Pham Ngoc
Texas State University-San Marcos, Department of Mathematics
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, +∞).
Ψ-bounded, Ψ-integrable, Ψ-integrally bounded, Ψ-exponential
Boi, P. N. (2006). On the Ψ-dichotomy for homogeneous linear differential equations. <i>Electronic Journal of Differential Equations, 2006</i>(40), pp. 1-12.