Boundedness and stability criteria for linear ordinary differential equations of the second order

Allerton Press - Tập 57 - Trang 8-15 - 2013
G. A. Grigoryan1
1Institute of Mathematics of NAS of Armenia, Yerevan, Republic of Armenia

Tóm tắt

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.

Tài liệu tham khảo

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