Author | Cesari, Lamberto. author |
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Title | OptimizationโTheory and Applications [electronic resource] : Problems with Ordinary Differential Equations / by Lamberto Cesari |
Imprint | New York, NY : Springer New York, 1983 |
Connect to | http://dx.doi.org/10.1007/978-1-4613-8165-5 |
Descript | XIV, 542 p. online resource |
1 Problems of OptimizationโA General View -- 2 The Classical Problems of the Calculus of Variations: Necessary Conditions and Sufficient Conditions; Convexity and Lower Semicontinuity -- 3 Examples and Exercises on Classical Problems -- 4 Statement of the Necessary Condition for Mayer Problems of Optimal Control -- 5 Lagrange and Bolza Problems of Optimal Control and Other Problems -- 6 Examples and Exercises on Optimal Control -- 7 Proofs of the Necessary Condition for Control Problems and Related Topics -- 8 The Implicit Function Theorem and the Elementary Closure Theorem -- 9 Existence Theorems: The Bounded, or Elementary, Case -- 10 Closure and Lower Closure Theorems under Weak Convergence -- 11 Existence Theorems: Weak Convergence and Growth Conditions -- 12 Existence Theorems: The Case of an Exceptional Set of No Growth -- 13 Existence Theorems: The Use of Lipschitz and Tempered Growth Conditions -- 14 Existence Theorems: Problems of Slow Growth -- 15 Existence Theorems: The Use of Mere Pointwise Convergence on the Trajectories -- 16 Existence Theorems: Problems with No Convexity Assumptions -- 17 Duality and Upper Semicontinuity of Set Valued Functions -- 18 Approximation of Usual and of Generalized Solutions -- Author Index