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Titlebook: Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type; Yu. Mitropolskii,G. Khoma,M. Gromyak Book 1997 Springer Scien

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发表于 2025-3-21 18:59:41 | 显示全部楼层 |阅读模式
期刊全称Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type
影响因子2023Yu. Mitropolskii,G. Khoma,M. Gromyak
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学科分类Mathematics and Its Applications
图书封面Titlebook: Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type;  Yu. Mitropolskii,G. Khoma,M. Gromyak Book 1997 Springer Scien
影响因子The theory of partial differential equations is a wide and rapidly developing branch of contemporary mathematics. Problems related to partial differential equations of order higher than one are so diverse that a general theory can hardly be built up. There are several essentially different kinds of differential equations called elliptic, hyperbolic, and parabolic. Regarding the construction of solutions of Cauchy, mixed and boundary value problems, each kind of equation exhibits entirely different properties. Cauchy problems for hyperbolic equations and systems with variable coefficients have been studied in classical works of Petrovskii, Leret, Courant, Gording. Mixed problems for hyperbolic equations were considered by Vishik, Ladyzhenskaya, and that for general two­ dimensional equations were investigated by Bitsadze, Vishik, Gol‘dberg, Ladyzhenskaya, Myshkis, and others. In last decade the theory of solvability on the whole of boundary value problems for nonlinear differential equations has received intensive development. Significant results for nonlinear elliptic and parabolic equations of second order were obtained in works of Gvazava, Ladyzhenskaya, Nakhushev, Oleinik, Skrip
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Periodic Solutions of the Second Order Integro-Differential Equations of Hyperbolic Type, hyperbolic type. Studying the existence of classical and continuous periodic solutions of these equations, we single out and investigate .-systems of the first and second class. The latter leads us to -periodic systems of the firts and second kind.
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Asymptotic Methods for the Second Order Partial Differential Equations of Hyperbolic Type,itions (initial or initial and boundary) imposed on them. The systematic application of the asymptotic methods to the investigation of nonstationary processes in nonlinear distributed parameter systems has begun in [62, 66].
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Book 1997de the theory of solvability on the whole of boundary value problems for nonlinear differential equations has received intensive development. Significant results for nonlinear elliptic and parabolic equations of second order were obtained in works of Gvazava, Ladyzhenskaya, Nakhushev, Oleinik, Skrip
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last decade the theory of solvability on the whole of boundary value problems for nonlinear differential equations has received intensive development. Significant results for nonlinear elliptic and parabolic equations of second order were obtained in works of Gvazava, Ladyzhenskaya, Nakhushev, Oleinik, Skrip978-94-010-6426-2978-94-011-5752-0
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Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type
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Mathematics and Its Applicationshttp://image.papertrans.cn/b/image/163807.jpg
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Random Walks and Renewal Theory, hyperbolic type. Studying the existence of classical and continuous periodic solutions of these equations, we single out and investigate .-systems of the first and second class. The latter leads us to -periodic systems of the firts and second kind.
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