Electron. J. Diff. Equ.,
Vol. 2010(2010), No. 102, pp. 19.
Behavior at infinity of psievanescent solutions to linear
differential equations
Pham Ngoc Boi
Abstract:
In this article we present some necessary and sufficient
conditions for the existence of
evanescent solution of the
nonhomogeneous linear differential equation
, which
is related to the notion of
ordinary dichotomy for the
equation
.
We associate that with the condition of
ordinary dichotomy for the homogeneous linear differential
equation
x'=A(t)x.
Submitted April 29, 2010. Published July 28, 2010.
Math Subject Classifications: 34A12, 34C11, 34D05.
Key Words: psibounded solutions; psiordinary dichotomy;
psievanescent solutions
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Pham Ngoc Boi
Department of Mathematics, Vinh University
Vinh City, Vietnam
email: pnboi_vn@yahoo.com

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