Topological Methods for Delay and Ordinary Differential Equations
With Applications to Continuum Mechanics
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Beschreibung
This volume explores the application of topological techniques in the study of delay and ordinary differential equations with a particular focus on continuum mechanics. Chapters, written by internationally recognized researchers in the field, present results on problems of existence, multiplicity localization, bifurcation of solutions, and more. Topological methods are used throughout, including degree theory, fixed point index theory, and classical and recent fixed point theorems. A wide variety of applications to continuum mechanics are provided as well, such as chemostats, non-Newtonian fluid flow, and flows in phase space. Topological Methods for Delay and Ordinary Differential Equations will be a valuable resource for researchers interested in differential equations, functional analysis, topology, and the applied sciences.
This volume explores the application of topological techniques in the study of delay and ordinary differential equations with a particular focus on continuum mechanics. Chapters, written by internationally recognized researchers in the field, present results on problems of existence, multiplicity localization, bifurcation of solutions, and more. Topological methods are used throughout, including degree theory, fixed point index theory, and classical and recent fixed point theorems. A wide variety of applications to continuum mechanics are provided as well, such as chemostats, non-Newtonian fluid flow, and flows in phase space. Topological Methods for Delay and Ordinary Differential Equations will be a valuable resource for researchers interested in differential equations, functional analysis, topology, and the applied sciences.
Explores topological techniques in delay and ordinary differential equations with a focus on continuum mechanics Presents results related to problems of existence, multiplicity localization, bifurcation of solutions, and more Uses topological methods, including degree theory, fixed point index theory, and classical fixed point theorems
Autor*in
Pablo Amster
Themen in »Topological Methods for Delay and Ordinary Differential Equations«
Delay differential equations Topological methods Ordinary differential equations ODEs Hamiltonian systems Kepler problems solutions Relativistic pendulum equation Parallel-plate electrostatic actuators Heat flow problem Atypical bifurcation ODEs Chaos topology