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Chapter 10: Mathematical Modeling through Mathematical Programming, Maximum Principle, and Maximum-Entropy Principle
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J. N. Kapur
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Chapters in this book
- Frontmatter i
- Contents v
- Preface xiii
- Chapter 1: Mathematical Modeling: Need, Techniques, Classifications, and Simple Illustrations 1
- Chapter 2: Mathematical Modeling through Ordinary Differential Equations of the First Order 31
- Chapter 3: Mathematical Modeling through Systems of Ordinary Differential Equations of the First Order 55
- Chapter 4: Mathematical Modeling through Ordinary Differential Equations of the Second Order 79
- Chapter 5: Mathematical Modeling through Difference Equations 101
- Chapter 6: Mathematical Modeling through Partial Differential Equations 129
- Chapter 7: Mathematical Modeling through Graphs 157
- Chapter 8: Mathematical Modeling through Functional, Integral, Delay-Differential, and Differential-Difference Equations 183
- Chapter 9: Mathematical Modeling through Calculus of Variations and Dynamic Programming 209
- Chapter 10: Mathematical Modeling through Mathematical Programming, Maximum Principle, and Maximum-Entropy Principle 235
- Appendix A: Mathematical Models Discussed in the Book 261
- Appendix B: Supplementary Bibliography 265
- Index 269
Chapters in this book
- Frontmatter i
- Contents v
- Preface xiii
- Chapter 1: Mathematical Modeling: Need, Techniques, Classifications, and Simple Illustrations 1
- Chapter 2: Mathematical Modeling through Ordinary Differential Equations of the First Order 31
- Chapter 3: Mathematical Modeling through Systems of Ordinary Differential Equations of the First Order 55
- Chapter 4: Mathematical Modeling through Ordinary Differential Equations of the Second Order 79
- Chapter 5: Mathematical Modeling through Difference Equations 101
- Chapter 6: Mathematical Modeling through Partial Differential Equations 129
- Chapter 7: Mathematical Modeling through Graphs 157
- Chapter 8: Mathematical Modeling through Functional, Integral, Delay-Differential, and Differential-Difference Equations 183
- Chapter 9: Mathematical Modeling through Calculus of Variations and Dynamic Programming 209
- Chapter 10: Mathematical Modeling through Mathematical Programming, Maximum Principle, and Maximum-Entropy Principle 235
- Appendix A: Mathematical Models Discussed in the Book 261
- Appendix B: Supplementary Bibliography 265
- Index 269