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Nonlinear Analysis and its Applications to Differential Equations M.R. Grossinho

Nonlinear Analysis and its Applications to Differential Equations By M.R. Grossinho

Nonlinear Analysis and its Applications to Differential Equations by M.R. Grossinho

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Summary

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.

Nonlinear Analysis and its Applications to Differential Equations Summary

Nonlinear Analysis and its Applications to Differential Equations by M.R. Grossinho

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

Table of Contents

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-Ampere 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 the Minimizing Trajectories of Optimal Control Problems.- Abstract Concentration Compactness and Elliptic Equations on Unbounded Domains.

Additional information

NPB9780817641887
9780817641887
0817641882
Nonlinear Analysis and its Applications to Differential Equations by M.R. Grossinho
M.R. Grossinho
Progress in Nonlinear Differential Equations and Their Applications
New
Hardback
Birkhauser Boston Inc
2000-11-29
384
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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