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On the $psi$-dichotomy for homogeneous linear differential equations

By Pham Ngoc Boi

Abstract

In this article we present some conditions for the $psi$-dichotomy of the homogeneous linear differential equation $x'=A(t)x$. Under our condition every $psi$-integrally bounded function $f$ the nonhomogeneous linear differential equation $x'=A(t)x +f(t)$ has at least one $psi$-bounded solution on $(0,+infty)$

Topics: $psi$-bounded, $psi$-integrable, $psi$-integrally bounded, $psi$-exponential., Mathematics, QA1-939, Science, Q, DOAJ:Mathematics, DOAJ:Mathematics and Statistics
Publisher: Texas State University
Year: 2006
OAI identifier: oai:doaj.org/article:10bbc0a37f614b80b79c189827f7320c
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