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Basic Theory of Ordinary Differential Equations [1999]
- 1
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Fundamental Theorems of Ordinary Differential Equations
- 28
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Dependence on Data
- 41
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Nonuniqueness
- 69
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General Theory of Linear Systems
- 108
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Singularities of the First Kind
- 144
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Boundary-Value Problems of Linear Differential Equations of the Second-Order
- 197
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Asymptotic Behavior of Solutions of Linear Systems
- 235
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Stability
- 279
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Autonomous Systems
- 304
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The Second-Order Differential Equation <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="978-1-4612-1506-6_10_Chapter_TeX2GIF_IEq1.gif" Format="GIF" Rendition="HTML" Type="Linedraw" /> </InlineMediaObject> <EquationSource Format="TEX">$$\frac{{{{d}^{2}}x}}{{d{{t}^{2}}}} + h\left( x \right)\frac{{dx}}{{dt}} + g\left( x \right) = 0$$</EquationSource> </InlineEquation>
- 342
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Asymptotic Expansions
- 372
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Asymptotic Solutions in a Parameter
- 403
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Singularities of the Second Kind
