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Book Categories |
Preface | ||
Acknowledgements | ||
Ch. 1 | Some Basic Models of Physical Systems | 1 |
1 | Basic Models of Particle Dynamics | 2 |
2 | Inverse Problems and Integral Models | 19 |
Ch. 2 | Models of Continuum Mechanical Systems | 29 |
1 | Conservation Laws in One-Dimensional Medium | 30 |
2 | Models of One-Dimensional Continuum Dynamics | 39 |
3 | Three-Dimensional Conservation Laws and Models | 56 |
4 | Applied Modelling of Water Transport and Contamination | 70 |
Ch. 3 | Variational Models and Structural Stability | 85 |
1 | Variational Principles and Models | 85 |
2 | Variational Models of Structural Stability | 96 |
Ch. 4 | Integral Models of Physical Systems | 105 |
1 | Construction of Integral Models | 106 |
2 | Modelling of Traffic Noise Propagation | 125 |
3 | Modelling of Mine Rope Dynamics | 129 |
Ch. 5 | Modeling in Bioengineering | 139 |
1 | Models of Population Dynamics and Control | 141 |
2 | Bifurcation Analysis for Nonlinear Integral Models | 166 |
Ch. 6 | Models of Technological Renovation in Production Systems | 183 |
1 | Traditional Models of Technological Renovation | 184 |
2 | Models of Equipment Replacement under Technological Change | 189 |
3 | Qualitative Analysis of Optimal Equipment Replacement | 206 |
4 | Mathematical Details and Proofs | 232 |
Ch. 7 | Appendix | 241 |
1 | Miscellaneous Facts of Analysis | 241 |
2 | Mathematical Models and Equations | 245 |
References | 261 | |
Index | 277 |
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