Buch, Englisch, 356 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 681 g
Buch, Englisch, 356 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 681 g
ISBN: 978-0-444-52761-5
Verlag: Elsevier BV
The book is an almost self-contained presentation of the most important concepts and results in viability and invariance. The viability of a set K with respect to a given function (or multi-function) F, defined on it, describes the property that, for each initial data in K, the differential equation (or inclusion) driven by that function or multi-function) to have at least one solution. The invariance of a set K with respect to a function (or multi-function) F, defined on a larger set D, is that property which says that each solution of the differential equation (or inclusion) driven by F and issuing in K remains in K, at least for a short time.The book includes the most important necessary and sufficient conditions for viability starting with Nagumo’s Viability Theorem for ordinary differential equations with continuous right-hand sides and continuing with the corresponding extensions either to differential inclusions or to semilinear or even fully nonlinear evolution equations, systems and inclusions. In the latter (i.e. multi-valued) cases, the results (based on two completely new tangency concepts), all due to the authors, are original and extend significantly, in several directions, their well-known classical counterparts.
Zielgruppe
<b>Primary Markets:</b>
Graduate students, specialists and researchers in O.D.E., P.D.E., Differential Inclusions, Optimal Control
<b>Secondary Markets:</b>
Physicists, Engineers, Chemists, Economists, Biologists.
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
1. Generalities2. Specific preliminary results
Ordinary differential equations and inclusions3. Nagumo type viability theorems4. Problems of invariance5. Viability under Carathéodory conditions6. Viability for differential inclusions7. Applications
Part 2 Evolution equations and inclusions8. Viability for single-valued semilinear evolutions 9. Viability for multi-valued semilinear evolutions10. Viability for single-valued fully nonlinear evolutions11. Viability for multi-valued fully nonlinear evolutions12. Carathéodory perturbations of m-dissipative operators13. Applications
