Boundedness and stability criteria for linear ordinary differential equations of the second order |
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Authors: | G A Grigoryan |
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Institution: | 1. Institute of Mathematics of NAS of Armenia, ul. Marshala Bagramyana 24/5, Yerevan, 0019, Republic of Armenia
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Abstract: | We establish some correlations for solutions of ordinary differential equations and the imaginary part of the complex solution of the corresponding Riccati equation. On the basis of these correlations and the I. M. Sobol’ theorem we prove some new stability and boundedness criteria for linear equations of the second order. |
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