Systems of linear ordinary differential equations with bounded coefficients may have very oscillating solutions

Novikov, D.

doi:10.1090/S0002-9939-01-06120-2

Systems of linear ordinary differential equations with bounded coefficients may have very oscillating solutions
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Proc. Amer. Math. Soc. 129 (2001), 3753-3755 Request permission

Abstract:

An elementary example shows that the number of zeroes of a component of a solution of a system of linear ordinary differential equations cannot be estimated through the norm of coefficients of the system.

References

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