Differential Equations on Measures and Functional Spaces

• Main Author: Kolokoltsov, Vassili (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Edition: 1st ed. 2019.
• Series: Birkhäuser Advanced Texts Basler Lehrbücher,
• Subjects: Differential equations.; Partial differential equations.; Operator theory.; Game theory.; Ordinary Differential Equations.; Partial Differential Equations.; Operator Theory.; Game Theory, Economics, Social and Behav. Sciences.

This advanced book focuses on ordinary differential equations (ODEs) in Banach and more general locally convex spaces, most notably the ODEs on measures and various function spaces. It briefly discusses the fundamentals before moving on to the cutting edge research in linear and nonlinear partial an...

Table of Contents:

• Analysis on measures and functional spaces
• Basic ODEs in complete locally convex spaces
• Discrete kinetic systems
• Linear evolutionary equations: foundations
• Linear evolutionary equations: advanced theory
• Method of propagators for nonlinear equations.-Equations in the spaces of weighted measures
• Generalized fractional differential equations
• Appendix. .