Limit search to items available for checkout
Title Topological methods for differential equations and inclusions / John R. Graef, Johnny Henderson, Abdelghani Ouahab.
Imprint Boca Raton, Florida : CRC Press, [2019]


 Internet  Electronic Book    AVAILABLE
Description 1 online resource (xiv, 360 pages)
Bibliog. Includes bibliographical references and index.
Note Available only to authorized UTEP users.
Print version record.
Subject Differential equations.
Differential inclusions.
Genre Electronic books.
Contents Background in multi-valued analysis -- Hausdorff-Pompeiu metric topology -- Measurable multifunctions -- Continuous selection theorems -- Linear multivalued operators -- Fixed point theorems -- Generalized metric and Banach spaces -- Fixed point theorems in vector metric and Banach spaces -- Random fixed point theorems -- Semigroups -- Systems of impulsive differential equations on half-lines -- Differential inclusions -- Random systems of differential equations -- Random fractional differential equations -- Existence theory for systems of discrete equations -- Discrete inclusions -- Semilinear system of discrete equations -- Discrete boundary value problems.
Summary Topological Methods for Differential Equations and Inclusions covers the important topics involving topological methods in the theory of systems of differential equations. The equivalence between a control system and the corresponding differential inclusion is the central idea used to prove existence theorems in optimal control theory. Since the dynamics of economic, social, and biological systems are multi-valued, differential inclusions serve as natural models in macro systems with hysteresis.
Other Author Henderson, Johnny, author.
Ouahab, Abdelghani, author.
Other Title Print version: Graef, John R., 1942- Topological methods for differential equations and inclusions. Boca Raton, Florida : CRC Press, [2018] 9781138332294