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Differential equations are a fast evolving branch of mathematics and one of the mathematical tools most used by scientists and engineers. This book gathers a collection of original articles and state-of-the-art contributions, written by highly distinguished researchers working in differential equations, delay-differential equations, differential inclusions, variational problems, Young measures, control theory, dynamical systems, chaotic systems and their relations with physical systems. The forefront of research in these areas is represented in this volume. The book and all contributions are dedicated to Arrigo Cellina and James A. Yorke on their 65th anniversary. Their remarkable scientific career covered all the above areas and was one of the main driving forces behind the work of many of the authors and the editor of this volume. For researchers and graduate students in mathematics, physics and engineering, the material in this book will be a valuable resource, and a tool for everyone working in differential equations, chaos and variational problems. It brings the reader to the frontiers of research in the areas mentioned above and will stimulate further research.

Differential equations. --- Calculus of variations. --- Chaotic behavior in systems. --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- 517.91 Differential equations --- Differential equations --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Differentiable dynamical systems --- Dynamics --- Nonlinear theories --- System theory --- Global analysis (Mathematics). --- Differential Equations. --- Mathematical optimization. --- Differentiable dynamical systems. --- Analysis. --- Ordinary Differential Equations. --- Calculus of Variations and Optimal Control; Optimization. --- Dynamical Systems and Ergodic Theory. --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Global analysis (Mathematics) --- Topological dynamics --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Operations research --- Simulation methods --- System analysis --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Mathematical analysis. --- Analysis (Mathematics). --- Dynamics. --- Ergodic theory. --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- 517.1 Mathematical analysis --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics)

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Ergodic theory. Information theory --- Differential equations --- Numerical methods of optimisation --- differentiaalvergelijkingen --- chaos --- kansrekening --- informatietheorie --- optimalisatie

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Differential equations --- Mathematical physics --- 51 <082.1> --- Mathematics--Series --- Differential equations, Elliptic. --- Differential equations, Nonlinear. --- Variational inequalities (Mathematics) --- Topological degree. --- Monotone operators. --- Équations différentielles elliptiques. --- Équations différentielles non linéaires. --- Inégalités variationnelles. --- Degré topologique. --- Opérateurs monotones. --- Differential equations, Elliptic --- Differential equations, Nonlinear --- Monotone operators --- Topological degree --- Inequalities, Variational (Mathematics) --- Calculus of variations --- Differential inequalities --- Degree, Topological --- Degree (Topology) --- Degree theory --- Algebraic topology --- Operator theory --- Nonlinear differential equations --- Nonlinear theories --- Elliptic differential equations --- Elliptic partial differential equations --- Linear elliptic differential equations --- Differential equations, Linear --- Differential equations, Partial