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Ekeland Variational Principle with Generalizations and Variants (PDF)


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The Ekeland variational principle, formulated by Ivar Ekeland in 1972, is the foundation of modern variational calculus. Among its findings there are numerous and various applications which are developed and described in Ekeland Variational Principle with Variants and Generalizations, by Irina Meghea (University Politehnica, Bucharest): geometry of Banach spaces, nonlinear analysis, differential equations and partial differential equations, global analysis, probalistic analysis, differential geometry, fixed point theorem, nonlinear semi-groups, dynamic systems, optimization, mathematical programming and optimal control.

Irina Meghea 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 co-author of the handbook in three volumes: Differential and Integral Calculus (2700 pages; 1997, 2000, 2002).

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