Ekeland variation principle. With generalizations and variants
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- Nombre de pages521
- PrésentationBroché
- Poids0.9 kg
- Dimensions17,0 cm × 24,0 cm × 3,0 cm
- ISBN978-2-914610-96-4
- EAN9782914610964
- Date de parution01/02/2009
- ÉditeurArchives Contemporaines
Résumé
The Ekeland variational principle, formulated by lvar Ekeland in 1972, is the foundation of modern variational calculus. Its novelty consists in introducing a perturbed variational principle where the goal function f is replaced by the perturbed function ??f + ? (.)x ???. Its numerous and varied applications are developed and described in this monograph : geometry of Banach spaces, nonlinear analysis, differential equations and partial differential equations, global analysis, probabilistic analysis, differential geometry, fixed point theorems, nonlinear semi-groups, dynamical systems, optimization, mathematical programming, optimal control. Some of these applications are currently used for modelling in engineering, macro-economics, and statistics. This monograph is addressed particularly to graduate course lecturers, researchers, engineers and graduate students.
The Ekeland variational principle, formulated by lvar Ekeland in 1972, is the foundation of modern variational calculus. Its novelty consists in introducing a perturbed variational principle where the goal function f is replaced by the perturbed function ??f + ? (.)x ???. Its numerous and varied applications are developed and described in this monograph : geometry of Banach spaces, nonlinear analysis, differential equations and partial differential equations, global analysis, probabilistic analysis, differential geometry, fixed point theorems, nonlinear semi-groups, dynamical systems, optimization, mathematical programming, optimal control. Some of these applications are currently used for modelling in engineering, macro-economics, and statistics. This monograph is addressed particularly to graduate course lecturers, researchers, engineers and graduate students.