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Basic Properties of Generalized Analytic Functions,phic initial functions in chapter 4. On the other hand, generalized analytic functions possess many common properties with holomorphic ones. Taking into accont these common properties, we intend to solve initial value problems with generalized analytic functions as initial functions in chapter 7. InAnthropoid 发表于 2025-3-25 07:55:49
Initial Value Problems with Generalized Analytic Initial Functions,right-hand side of the differential equation as well as the initial function are holomorphic. In the present chapter we investigate initial value problems in case that the right-hand side does not transform the space of all holomorphic functions into itself. Accordingly, the initial function need no啤酒 发表于 2025-3-25 13:59:11
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nctional-analytic background material in detail. From the point of view of the theory of partial differential equations the book is intend ed to generalize the classicalCauchy-Kovalevskayatheorem, whereas the functional-analytic background connected with the method of successive approximations andintercede 发表于 2025-3-26 03:52:44
Wolfgang Tutschkery sections make it also useful for beginners wanting to learn the basics of scientific coding and find real-world, hands-on examples..978-3-030-29864-7978-3-030-29865-4Series ISSN 2509-6125 Series E-ISSN 2509-6133松驰 发表于 2025-3-26 05:24:43
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Book 19890. 1) depends on a certain derivative Du of the sought function, i. e. , the differential equation (0,1) is replaced by the more general differential equation du dt = f(t,u,Du), (0. 3) There are diff. erential equations of type (0. 3) with smooth right-hand sides not possessing any solution to say nCapitulate 发表于 2025-3-26 16:23:14
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Solution of Initial Value Problems in Classes of Generalized Analytic Functions