A necessary and sufficient condition for nonoscillatory behavior of the solutions of a system of two linear equations of the first order |
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| Authors: | I V Kamenev |
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| Institution: | 1. Moscow Electrical Machine-Construction Institute, USSR
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| Abstract: | For the system y′=b(x) z, z′=?a (x)y, wherea (x), b(x)) ∈ c x0+∞), b(x)? 0 we obtain for x≥x0a necessary and sufficient condition for nonoscillatory behavior. From this condition we derive new criteria for the nonoscillatory behavior of the system considered. |
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