Generalized ordinary differential equations in abstract spaces and applications / edited by Everaldo M. Bonotto, Marcia Federson, Jaqueline G. Mesquita.
- Hoboken, NJ : John Wiley and Sons, Inc., c2021.
- xxi, 478 pages :
Includes bibliographical references and index.
Contents: 1 Preliminaries -- 2 The Kurzweil integral -- 3 measure functional differential equations -- 4 Generalized ordinary differential equations -- 5 Basic properties of solutions -- 6 Linear generalized ordinary differential equations -- 7 Continuous dependence on parameters -- 8 Stability theory -- 9 Periodicity -- 10 Averaging principles -- 11 Boundedness of solutions -- 12 Control theory -- 13 Dichotomies -- 14 Topological dynamics -- 15 Applications to functional differential equations of neutral type.
"Generalized Ordinary Differential Equations in Abstract Spaces and Applications delivers a comprehensive treatment of new results of the theory of generalized ODEs in abstract spaces. The book covers applications to other types of differential equations, including Measure Functional Differential Equations (measure FDEs). It presents a uniform collection of qualitative results of Generalized ODEs and offers readers an introduction to several theories, including ordinary differential equations, impulsive differential equations, functional differential equations, dynamical equations on time scales, and more." --From book cover.
Adult
Text in English
9781119654933 [hardbound]
Differential equations
Includes bibliographical references and index.
Contents: 1 Preliminaries -- 2 The Kurzweil integral -- 3 measure functional differential equations -- 4 Generalized ordinary differential equations -- 5 Basic properties of solutions -- 6 Linear generalized ordinary differential equations -- 7 Continuous dependence on parameters -- 8 Stability theory -- 9 Periodicity -- 10 Averaging principles -- 11 Boundedness of solutions -- 12 Control theory -- 13 Dichotomies -- 14 Topological dynamics -- 15 Applications to functional differential equations of neutral type.
"Generalized Ordinary Differential Equations in Abstract Spaces and Applications delivers a comprehensive treatment of new results of the theory of generalized ODEs in abstract spaces. The book covers applications to other types of differential equations, including Measure Functional Differential Equations (measure FDEs). It presents a uniform collection of qualitative results of Generalized ODEs and offers readers an introduction to several theories, including ordinary differential equations, impulsive differential equations, functional differential equations, dynamical equations on time scales, and more." --From book cover.
Adult
Text in English
9781119654933 [hardbound]
Differential equations