Differential Equations, Chaos and Variational Problems

Differential Equations, Chaos and Variational Problems

by Vasile Staicu (Editor)


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Product Details

ISBN-13: 9783764384814
Publisher: Birkhäuser Basel
Publication date: 02/06/2008
Series: Progress in Nonlinear Differential Equations and Their Applications , #75
Edition description: 2008
Pages: 435
Product dimensions: 6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

Nodal and Multiple Constant Sign Solution for Equations with the p-Laplacian.- A Young Measures Approach to Averaging.- Viability Kernels and Capture Basins for Analyzing the Dynamic Behavior: Lorenz Attractors, Julia Sets, and Hutchinson’s Maps.- Generalized Steiner Selections Applied to Standard Problems of Set-Valued Numerical Analysis.- On the Euler-Lagrange Equation for a Variational Problem.- Singular Limits for Impulsive Lagrangian Systems with Dissipative Sources.- Lipschitz Continuity of Optimal Trajectories in Deterministic Optimal Control.- An Overview on Existence of Vector Minimizers for Almost Convex 1—dim Integrals.- Strict Convexity, Comparison Results and Existence of Solutions to Variational Problems.- Necessary Optimality Conditions for Discrete Delay Inclusions.- Necessary Conditions in Optimal Control and in the Calculus of Variations.- Almost Periodicity in Functional Equations.- Age-dependent Population Dynamics with the Delayed Argument.- Chaos in the Störmer Problem.- Hausdorff Dimension versus Smoothness.- On Bounded Trajectories for Some Non-Autonomous Systems.- On Generalized Differential Quotients and Viability.- Nonlinear Prediction in Riverflow — the Paiva River Case.- Shadowing in Higher Dimensions.- Boundary Value Problems for Nonlinear Perturbations of Singular ?-Laplacians.- Existence, Nonexistence and Multiplicity Results for Some Beam Equations.- Reducing a Differential Game to a Pair of Optimal Control Problems.- Optimal Control of Nonconvex Differential Inclusions.- On Chaos of a Cubic p-adic Dynamical System.- Some New Concepts of Dimension.- Degree Theory and Almost Periodic Problems.- L ?-Energy Method, Basic Tools and Usage.- On the Singular Set of Certain Potential Operators in Hilbert Spaces.- Shape and Conley Index of Attractors and Isolated Invariant Sets.- Regularity of Solutions for the Autonomous Integrals of the Calculus of Variations.- Multi-modal Periodic Trajectories in Fermi-Pasta-Ulam Chains.- Control of Transient Chaos Using Safe Sets in Simple Dynamical Systems.

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