The usual notions of "elliptic" and "hyperbolic" as applied to linear ODE's are generalized to certain two-dimensional systems (including almost-periodic ones) in which the coefficient matrix depends on time. An example due to Millionščikov is used to indicate certain limits to the theory.
Ergodic theory and linear differential equations / R. Johnson. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 28:(1978), pp. 23-34. [10.1016/0022-0396(78)90077-3]
Ergodic theory and linear differential equations
JOHNSON, RUSSELL ALLAN
1978
Abstract
The usual notions of "elliptic" and "hyperbolic" as applied to linear ODE's are generalized to certain two-dimensional systems (including almost-periodic ones) in which the coefficient matrix depends on time. An example due to Millionščikov is used to indicate certain limits to the theory.
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