Nonlinear Functional Analysis and Its Applications
by Radu Precup (Editor)

About this Book
Originally, functional analysis was that branch of mathematics capable of investigating in an abstract way a series of linear mathematical models from science. The study of these linear models-in fact, only first approximations of real models-proved insufficient, so the theory had to be extended to be able to describe the nonlinear phenomena themselves. In this way nonlinear functional analysis was born and continues to develop, becoming a vast and fascinating field of mathematics, with deep applications to increasingly complex problems in physics, biology, chemistry, and economics.

Brief Contents

• Variations on the Brouwer Fixed Point Theorem: A Survey
• A Sub-Supersolution Approach for Robin Boundary Value Problemswith Full Gradient Dependence
• The Topological Transversality Theorem for Multivalued Maps with Continuous Selections
• A Class of Equations with Three Solutions
• Positive Solutions for Discontinuous Systems via a Multivalued Vector Version of Krasnosel’ski˘ı’s Fixed Point Theorem in Cones
• Existence of Solutions for Nonhomogeneous Choquard Equations Involving p-Laplacian
• New Generalized Mizoguchi-Takahashi’s Fixed Point Theorems for Essential Distances and e0-Metrics
• Design of Robust Trackers and Unknown Nonlinear Perturbation Estimators for a Class of Nonlinear Systems: HTRDNA Algorithm for Tracker Optimization
• Analysis of a SEIR-KS Mathematical Model For Computer Virus Propagation in a Periodic Environment
  

Publisher : Mdpi AG (2021)
Language : English
Pages : 148
ISBN-10 : 3036502408
ISBN-13 : 978-3036502403