Nonlinear Analysis and its Applications to Differential Equations

In this book we present a significant part ofthe material given in an autumn school on "Nonlinear Analysis and Differential Equations," held at the CMAF (Centro de Matematica e Aplica

Inhaltsverzeichnis

An Overview of the Method of Lower and Upper Solutions for ODEs.- On the Long-time Behaviour of Solutions to the Navier-Stokes Equations of Compressible Flow.- Periodic Solutions of Systems with p-Laplacian-like Operators.- Mechanics on Riemannian Manifolds.- Twist Mappings, Invariant Curves and Periodic Differential Equations.- Variational Inequalities, Bifurcation and Applications.- Complex Dynamics in a Class of Reversible Equations.- Symmetry and Monotonicity Results for Solutions of Certain Elliptic PDEs on Manifolds.- Nielsen Number and Multiplicity Results for Multivalued Boundary Value Problems.- Bifurcation Theory and Application to Semilinear Problems near the Resonance Parameter.- Orientation and Degree for Fredholm Maps of Index Zero Between Banach Spaces.- On the Method of Upper and Lower Solutions for First Order BVPs.- Nonlinear Optimal Control Problems for Diffusive Elliptic Equations of Logistic Type.- On The Use of Time-Maps in Nonlinear Boundary Value Problems.- Some Aspects of Nonlinear Spectral Theory.- Asymmetric Nonlinear Oscillators.- Hopf Bifurcation for a Delayed Predator-Prey Model and the Effect of Diffusion.- Galerkin-Averaging Method in Infinite-Dimensional Spaces for Weakly Nonlinear Problems.- PBVPs for Ordinary Impulsive Differential Equations.- Homoclinic and Periodic Solutions for Some Classes of Second Order Differential Equations.- Global Bifurcation for Monge-Ampère Operators.- Remarks on Boundedness of Semilinear Oscillators.- The Dual Variational Method in Nonlocal Semilinear Tricomi Problems.- Symmetry Properties of Positive Solutions of Nonlinear Differential Equations Involving the p-Laplace Operator.- A Maximum Principle with Applications to the Forced Sine-Gordon Equation.- Lipschitzian Regularity Conditions for theMinimizing Trajectories of Optimal Control Problems.- Abstract Concentration Compactness and Elliptic Equations on Unbounded Domains.

Zusammenfassung

Highlights developments in nonlinear analysis and differential equations. This work covers: periodic solutions of systems with p-Laplacian type operators; bifurcation in variational inequalities; a geometric approach to dynamical systems in the plane via twist theorems; and asymptotic behavior and periodic solutions for Navier-Stokes equations.

Produktdetails

• Mitarbeit: M. R. Grossinho (Herausgeber), M.R. Grossinho (Herausgeber), Maria do Rosário Grossinho (Herausgeber), Ramos (Herausgeber), M Ramos (Herausgeber), M. Ramos (Herausgeber), C. Rebelo (Herausgeber), C Rebelo et al (Herausgeber), L. Sanchez (Herausgeber)
• Verlag: Springer, Basel
• Sprache: Englisch
• Produktform: Fester Einband
• Erschienen: 14.04.2009
• EAN: 9780817641887
• ISBN: 978-0-8176-4188-7
• Seiten: 384
• Gewicht: 744 g
• Illustration: XIII, 384 p.
• Serien: Progress in Nonlinear Differential Equations and Their Applications; Progress in Nonlinear Differential Equations and Their Applications
• Themen: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Analysis; B, Funktionalanalysis und Abwandlungen, Mathematics and Statistics, Functional Analysis, Ordinary Differential Equations, Partial Differential Equations, Differential calculus & equations, Differential equations, Functional analysis & transforms, Partial differential equation, ordinary differential equation, PDEs