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Titlebook: Generalized Characteristics of First Order PDEs; Applications in Opti Arik Melikyan Book 1998 Springer Science+Business Media New York 1998

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21#
發(fā)表于 2025-3-25 05:55:19 | 只看該作者
l result states a sufficiency condition for local existence and uniqueness of twice differentiable solution. This result is based on the method of characteristics (MC). Very often, and as a rule in control theory, the continuous nonsmooth (non-differentiable) functions have to be treated as a soluti
22#
發(fā)表于 2025-3-25 10:15:02 | 只看該作者
23#
發(fā)表于 2025-3-25 15:15:10 | 只看該作者
Unternehmensführung und Marketing characteristics associated with smooth (classical) solutions of a PDE. In such a problem, the singularities described by singular characteristics, are due to nonsmooth Hamiltonians, left hand side functions of PDEs. The simplest nonsmoothness of the Hamiltonians is considered which has one of the following characters:.
24#
發(fā)表于 2025-3-25 18:46:30 | 只看該作者
25#
發(fā)表于 2025-3-25 21:11:42 | 只看該作者
https://doi.org/10.1007/978-3-642-56335-5have certain similarities which allow to carry on their considerations in parallel. The essential part of the solution of these games is a singular surface consisting of singular paths (characteristics) and which is the envelope of the regular ones.
26#
發(fā)表于 2025-3-26 01:40:35 | 只看該作者
Zusammenfassende Bewertung und Ausblick, to the surface of the cone and restricted in values. In case the pursuer has advantage in speed, the game of pursuit with the capture time as the cost function is considered; in opposite case (faster evader), the game of approach is considered, the cost function being the minimal distance between players during infinite time-interval of motion.
27#
發(fā)表于 2025-3-26 05:08:49 | 只看該作者
28#
發(fā)表于 2025-3-26 10:08:25 | 只看該作者
29#
發(fā)表于 2025-3-26 13:25:50 | 只看該作者
Book 1998tates a sufficiency condition for local existence and uniqueness of twice differentiable solution. This result is based on the method of characteristics (MC). Very often, and as a rule in control theory, the continuous nonsmooth (non-differentiable) functions have to be treated as a solutions to the
30#
發(fā)表于 2025-3-26 19:10:50 | 只看該作者
Generalized Solutions and Singular Characteristics of First Order PDEs,t, one needs only the existence of the partial derivatives. There are functions for which these derivatives, being discontinuous, exist in one coordinate system and do not exist in another one. The continuity requirement makes the definition of the solution invariant with respect to some specific coordinate system.
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