CODA 发表于 2025-3-26 21:31:52
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Existence Theorems: Problems of Slow Growth,; we mention here one based on their reduction to equivalent “parametric problems” (Sections 14.1–2). In Section 14.3 we state a number of existence theorems for the usual integrals .[.], and in Section 14.4 we present many examples of problems for which the existence theorems in Section 14.3 hold.notification 发表于 2025-3-27 09:58:10
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0172-4568 an to graduate students at various stages of their careers, and always to a mixed audience of students in mathematics and engineering. It attempts to present a balanced view of the subject, giving some emphasis to its connections with the classical theory and to a number of those problems of economi的’ 发表于 2025-3-28 02:44:53
,Problems of Optimization—A General View,= (., ... ,.), .. ≤. ≤ .., or continuous curve of the form .:. = .(.), .. ≤ . ≤ .., in .. ,in a suitable class. Actually the subject of our inquiry will go much farther than the mere analysis of minima and maxima of functionals.大酒杯 发表于 2025-3-28 10:11:02
Examples and Exercises on Classical Problems, a given curve in the .-plane. Here . depends on x’ only, and satisfies condition (S) of Section 2.8. Any extremal must satisfy Euler’s equation in the reduced form (2.2.10), . or .. Here . is a strictly increasing function of .′ with range (−1,1). Thus −1 < . 1, and there is one and only one valueovershadow 发表于 2025-3-28 10:26:24
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