Exploring ODEs
Introduction -- First-order scalar linear ODEs -- First-order scalar nonlinear ODEs -- Second-order equations and damped oscillations -- Boundary-value problems -- Eigenvalues of linear BVPs -- Variable coefficients and adjoints -- Resonance -- Second-order equations in the phase plane -- Systems of...
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| Weitere Verfasser: | , |
| Format: | UnknownFormat |
| Sprache: | eng |
| Veröffentlicht: |
Philadelphia
SIAM, Society for Industrial and Applied Mathematics
2018
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| Schriftenreihe: | Other titles in applied mathematics
157 |
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| Online Zugang: | Inhaltstext Inhaltsverzeichnis |
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Tag hinzufügen | Zusammenfassung: | Introduction -- First-order scalar linear ODEs -- First-order scalar nonlinear ODEs -- Second-order equations and damped oscillations -- Boundary-value problems -- Eigenvalues of linear BVPs -- Variable coefficients and adjoints -- Resonance -- Second-order equations in the phase plane -- Systems of equations -- The fundamental existence theorem -- Random functions and random odes -- Chaos -- Linear systems and linearization -- Stable and unstable fixed points -- Multiple solutions of nonlinear BVPs -- Bifurcation -- Continuation and path-following -- Periodic ODEs -- Boundary and interior layers -- Into the complex plane -- Time-dependent PDEs |
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| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | vii, 335 Seiten Illustrationen |
| ISBN: | 9781611975154 978-1-61197-515-4 |