Page 7 - Textos de Matemática Vol. 36
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Contents
Preface ................................... vii
1 Introduction 1
1.1 Riccati-transformation........................ 3 1.2 Boundaryvalueproblems ...................... 6
2 Global aspects 11
2.1 SolutionsofAREandgraphsubspaces............... 11 2.2 RiccatiDifferentialequation..................... 15 2.3 Arepresentationformula....................... 17 2.4 FlowsonGraßmannmanifolds ................... 31 2.5 Globalexistenceresults ....................... 50
3 Numeric solutions 65
3.1 Positivesystems ........................... 65 3.2 OpenloopNashgames........................ 67 3.3 Newton’sMethod........................... 69 3.4 Mainresult .............................. 69 3.5 Example................................ 73
Appendix A 77
A.1 Basicresultsforlinearequations .................. 77
References Index
85 95
v
