## A Survey of the Theory of the Boundedness, Stability and Aasymptotic Behavior of Solutions of Linear and Non-linear Differential and Differences Equations |

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### Contents

Theorems on Stability | 6 |

Theorems on boundedness | 28 |

Theorems on asymptotic behavior | 40 |

5 other sections not shown

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### Common terms and phrases

absolutely convergent aij(t Amer Annals asymptotic behavior asymptotic developments asymptotic expansion asymptotic series behavior of solutions Bellman bounded variation boundedness of solutions Butlewski Chapter I Section characteristic numbers characteristic root zero Consider the equation constant matrix counter-example difference equations Differentialgleichungen différentielles discussion eguation elementary functions Equazioni exists finite integral equation interval Jour Kneser lefschetz lemma Liapounoff linear differential equations linearly independent llzll manifold of solutions method Nath Nbth necessary and sufficient negative real Nhth non-linear equation Non-Oscillation Theorems non-singular obtained order linear differential Oscillation of Solutions oscillatory Periodic Coefficients periodic matrix Poincare polynomials problem RICHARD BELLMAN Right-hand Side satisfies Section Section Section solutions of dy/dt solutions of linear stabilite stability Sturm-Liouville theory sufficient condition sufficiently small Theorem h theory Trjitzinsky Uber variable vector Wintner zero characteristic roots zero real