On bounded solutions of almost periodic linear differential systems (Q1059763)

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scientific article; zbMATH DE number 3905009
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On bounded solutions of almost periodic linear differential systems
scientific article; zbMATH DE number 3905009

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    On bounded solutions of almost periodic linear differential systems (English)
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    1984
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    We consider almost periodic systems \(\dot x=A(t)x\) which have the ''Favard property'', that is, any nontrivial bounded solution x(t) satisfies inf\(| x(t)| >0\). Sufficient conditions are given under which the system has a nontrivial almost periodic solution.
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    almost periodic systems
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    Favard property
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    bounded solution
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