## A survey of the theory of the boundedness, stability, and asymptotic behavior of solutions of linear and non-linear differential and difference equations |

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### Contents

Boundedness stability and asymptotic behavior of solutions of systems of linear differential equations 1 Introduction | 1 |

Linear differential equations with constant matrix | 2 |

Linear differential equations with periodic matrix | 3 |

30 other sections not shown

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### Common terms and phrases

absolutely convergent algebraic differential equation Amer asymptotic behavior asymptotic developments asymptotic series asymptotische Verhalten AY(t behavior of solutions bounded variation boundedness of solutions Bull Butlewski Chapter characteristic numbers characteristic roots Consider the equation constant matrix convergent derivatives difference equations Differentialgleichungen différentielles discussion elementary functions Equazioni Differenziali Lineari finite following result due Hukuwara integral equation integrales interval Jour Kneser Lefschetz Lemma Levinson Liapounoff linear differential equations linearly independent manifold of solutions method n-th order linear necessary and sufficient negative real non-linear equation obtained order linear differential oscillatory Periodic Coefficients periodic function periodic matrix Poincare polynomial precise results problem proof real continuous solutions results concerning satisfies solu solutions of dy/dt solutions of linear stabilite stability stable solution Sturm-Liouville theory sufficient condition sufficiently small theory tions Trans Trjitzinsky vector Weyl Wiman Wintner Zeit zero characteristic roots zero real