Dr. Irina Meghea : The author is lecturer at the Department of Mathematics, University Politehnica of Bucharest. Her teaching for engineering students covers various disciplines: algebra, differential geometry, analytic geometry, equations of mathematical physics, mathematical analysis and probabilities. Since 1990, she has been involved in the study of variational methods - variational inequalities with applications in mechanics. Her main research results include hemivariational methods with applications in fluid mechanics, rotary fluid axisymmetric bodies with results in celestial mechanics and scientific consultancy on mathematical modeling of fluid flow in biochemical reactors. She is also coauthor of the handbook in three volumes : "Differential and Integral Calculus (2700 pages ; 1997, 2000,2002)
Ekeland variation principle. With generalizations and variants
Par :Formats :
- 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.