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Titlebook: Handbook of Applied Analysis; Sophia Th. Kyritsi-Yiallourou,Nikolaos S. Papageor Book 2009 Springer-Verlag US 2009 Eigenvalue.Evolution eq

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Extremal Problems and Optimal Control,he so-called “direct method”, that leads to a systematic study of lower semicontinuous functionals. Then we consider optimization problems with constraints using the Lagrange multipliers methods. This method is closely connected to nonlinear eigenvalue problems. We also develop a general duality the
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Game Theory, points and intertempolar optimum. In this chapter, we deal with different models in game theory. We start with noncooperative games which lead to the notion of “Nash equilibria”. Then we pass to cooperative games, for which we can define the notion of core. After that we consider random games with
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Evolution Equations, evolution equations. We start by developing the mathematical tools which are necessary in this study. Among them, the notion of evolution triple plays central role and always allows us to use different spaces within the analysis of a single evolution equation. First we consider semilinear evolution
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