Differential equations, chaos and variational problems

Front Matter....Pages i-xiii
Nodal and Multiple Constant Sign Solution for Equations with the p -Laplacian....Pages 1-14
A Young Measures Approach to Averaging....Pages 15-28
Viability Kernels and Capture Basins for Analyzing the Dynamic Behavior: Lorenz Attractors, Julia Sets, and Hutchinson’s Maps....Pages 29-47
Generalized Steiner Selections Applied to Standard Problems of Set-Valued Numerical Analysis....Pages 49-60
On the Euler-Lagrange Equation for a Variational Problem....Pages 61-77
Singular Limits for Impulsive Lagrangian Systems with Dissipative Sources....Pages 79-103
Lipschitz Continuity of Optimal Trajectories in Deterministic Optimal Control....Pages 105-116
An Overview on Existence of Vector Minimizers for Almost Convex 1—dim Integrals....Pages 117-122
Strict Convexity, Comparison Results and Existence of Solutions to Variational Problems....Pages 123-133
Necessary Optimality Conditions for Discrete Delay Inclusions....Pages 135-142
Necessary Conditions in Optimal Control and in the Calculus of Variations....Pages 143-156
Almost Periodicity in Functional Equations....Pages 157-163
Age-dependent Population Dynamics with the Delayed Argument....Pages 165-174
Chaos in the Störmer Problem....Pages 175-194
Hausdorff Dimension versus Smoothness....Pages 195-209
On Bounded Trajectories for Some Non-Autonomous Systems....Pages 211-222
On Generalized Differential Quotients and Viability....Pages 223-229
Nonlinear Prediction in Riverflow — the Paiva River Case....Pages 231-240
Shadowing in Higher Dimensions....Pages 241-246
Boundary Value Problems for Nonlinear Perturbations of Singular φ -Laplacians....Pages 247-256
Existence, Nonexistence and Multiplicity Results for Some Beam Equations....Pages 257-267
Reducing a Differential Game to a Pair of Optimal Control Problems....Pages 269-283
Optimal Control of Nonconvex Differential Inclusions....Pages 285-303
On Chaos of a Cubic p -adic Dynamical System....Pages 305-315
Some New Concepts of Dimension....Pages 317-344
Degree Theory and Almost Periodic Problems....Pages 345-356
 L ∞ -Energy Method, Basic Tools and Usage....Pages 357-376
On the Singular Set of Certain Potential Operators in Hilbert Spaces....Pages 377-391
Shape and Conley Index of Attractors and Isolated Invariant Sets....Pages 393-406
Regularity of Solutions for the Autonomous Integrals of the Calculus of Variations....Pages 407-414
Multi-modal Periodic Trajectories in Fermi-Pasta-Ulam Chains....Pages 415-424
Control of Transient Chaos Using Safe Sets in Simple Dynamical Systems....Pages 425-435