Pham Ngoc Boi
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: psi-bounded solutions; psi-ordinary dichotomy; psi-evanescent solutions
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| Pham Ngoc Boi |
Department of Mathematics, Vinh University
Vinh City, Vietnam
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