標(biāo)題: Titlebook: Basic Theory of Ordinary Differential Equations; Po-Fang Hsieh,Yasutaka Sibuya Textbook 1999 Springer Science+Business Media New York 1999 [打印本頁] 作者: 滲漏 時間: 2025-3-21 17:23
書目名稱Basic Theory of Ordinary Differential Equations影響因子(影響力)
書目名稱Basic Theory of Ordinary Differential Equations影響因子(影響力)學(xué)科排名
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書目名稱Basic Theory of Ordinary Differential Equations網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Basic Theory of Ordinary Differential Equations被引頻次
書目名稱Basic Theory of Ordinary Differential Equations被引頻次學(xué)科排名
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書目名稱Basic Theory of Ordinary Differential Equations讀者反饋
書目名稱Basic Theory of Ordinary Differential Equations讀者反饋學(xué)科排名
作者: 咒語 時間: 2025-3-21 20:39 作者: concise 時間: 2025-3-22 03:04
A. Moreno,A. Muramatsu,S. ManmanaAbstract.The initial-value problem.is equivalent to the integral equation作者: 潛移默化 時間: 2025-3-22 05:47 作者: NADIR 時間: 2025-3-22 09:31 作者: 預(yù)示 時間: 2025-3-22 13:02
Asymptotic Solutions in a Parameter,In this chapter, we explain asymptotic solutions of a system of differential equations.In §§XII-1, XII-2, and XII-3, existence of such asymptotic solutions in the sense of Poincaré is proved in detail. In §XII-4, this result is used to prove a block-diagonalization theorem of a linear system 作者: 巨大沒有 時間: 2025-3-22 19:54 作者: 編輯才信任 時間: 2025-3-23 00:29
https://doi.org/10.1007/978-3-030-66792-4I-1. Topological properties of a set covered by solution curves of problem (P) are explained in §§III-2 and III-3. The main result is the Kneser theorem (Theorem III-2-4, cf. [Kn]). In §III-4, we explain maximal and minimal solutions and their continuity with respect to data. In §§III-5 and III-6, u作者: dictator 時間: 2025-3-23 03:07
Frank C. Maier,Maofeng Dou,Maria Fytaued) continuous functions of a real independent variable ., and the?.-valued function.is continuous in . The existence and uniqueness of solutions of problem (LP) were given by Theorem I-3-5. In §IV-1, we explain some basic results concerning n x n matrices whose entries are complex numbers. In part作者: Left-Atrium 時間: 2025-3-23 06:16
Anika Marusczyk,Holger Wüst,Tim Kolbex variables.with coefficients in ?, where . is a complex independent variable and.is an unknown quantity. The main tool is calculation with power series in . In §I-4, using successive approximations, we constructed power series solutions. However, generally speaking, in order to construct a power s作者: narcotic 時間: 2025-3-23 12:02
https://doi.org/10.1007/978-3-030-66792-4roblems (§§VI2—VI-4, topics including Green’s functions, self-adjointness, distribution of eigen-values, and eigenfunction expansion), (3) scattering problems (§§VI-5—VI-9, mostly focusing on reflectionless potentials), and (4) periodic potentials (§VI-10). The materials concerning these topics are 作者: MAPLE 時間: 2025-3-23 14:21
https://doi.org/10.1007/978-3-030-66792-4rpose is to show how much information we can glean from the limit matrix.. We are interested in the exponential growth of solutions and the asymptotic behavior of solutions. In order to measure the exponential growth of a function, we use Liapounoff’s type numbers which was originally introduced by 作者: accrete 時間: 2025-3-23 19:06 作者: 谷類 時間: 2025-3-23 23:36 作者: Allege 時間: 2025-3-24 04:30 作者: Incisor 時間: 2025-3-24 09:23
Anderson Transitions and Interactionsmple, as we mentioned it in Remark V-1-4, the divergent formal power series.is a formal solution of ..This equation has an actual solution .Integrating by parts,we obtain. Since.we conclude that.an asymptotic representation of an actual solution by means of a formal solution. In this chapter, we exp作者: MEET 時間: 2025-3-24 14:36 作者: Flagging 時間: 2025-3-24 16:55 作者: 疼死我了 時間: 2025-3-24 20:13 作者: 襲擊 時間: 2025-3-25 02:35 作者: 無畏 時間: 2025-3-25 03:29 作者: Ingratiate 時間: 2025-3-25 10:19 作者: GRIN 時間: 2025-3-25 15:36
Textbook 1999y. The selection of topics should provide the reader with methods and results that are applicable in a variety of different fields. The text is suitable for a one-year graduate course, as well as a reference book for research mathematicians. The book is divided into four parts. The first covers fund作者: 鋼盔 時間: 2025-3-25 16:40 作者: Inculcate 時間: 2025-3-25 20:23 作者: 刻苦讀書 時間: 2025-3-26 00:13
Textbook 1999rential equations, the third deals with nonlinear equations. In the last part the authors write about the basic results concerning power series solutions. Each chapter begins with a brief discussion of its contents and history. The book has 114 illustrations and 206 exercises. Hints and comments for many problems are given.作者: sacrum 時間: 2025-3-26 05:50 作者: Spirometry 時間: 2025-3-26 11:52 作者: MULTI 時間: 2025-3-26 12:58 作者: 不愛防注射 時間: 2025-3-26 17:56
Asymptotic Expansions,or the study of ordinary differential equations. A motivation of the Gevrey asymptotics is also given by the Maillet Theorem (cf. Theorem V-1-5). In §XI-1, we summarize the basic properties of asymptotic expansions of functions in the sense of Poincaré. The Gevrey asymptotics is explained in §§XI-2-XI-5.作者: Intruder 時間: 2025-3-26 21:41 作者: 實施生效 時間: 2025-3-27 03:13 作者: 易受騙 時間: 2025-3-27 06:59
General Theory of Linear Systems,ued) continuous functions of a real independent variable ., and the?.-valued function.is continuous in . The existence and uniqueness of solutions of problem (LP) were given by Theorem I-3-5. In §IV-1, we explain some basic results concerning n x n matrices whose entries are complex numbers. In part作者: 為寵愛 時間: 2025-3-27 09:56 作者: stratum-corneum 時間: 2025-3-27 15:31
Boundary-Value Problems of Linear Differential Equations of the Second-Order,roblems (§§VI2—VI-4, topics including Green’s functions, self-adjointness, distribution of eigen-values, and eigenfunction expansion), (3) scattering problems (§§VI-5—VI-9, mostly focusing on reflectionless potentials), and (4) periodic potentials (§VI-10). The materials concerning these topics are 作者: 無法取消 時間: 2025-3-27 20:52 作者: Osmosis 時間: 2025-3-27 22:44
Stability,tems. To start with, in §VIII-1, we introduce the concepts of stability and asymptotic stability of a given particular solution as ..We illustrate those concepts with simple examples. Reducing the given solution to the trivial solution by a simple transformation, we concentrate our explanation on th作者: progestin 時間: 2025-3-28 03:42 作者: Chivalrous 時間: 2025-3-28 08:19
The Second-Order Differential Equation ,ndedness of solutions and apply these results to the van der Pol equation.(cf. Example X-2–5). The boundedness of solutions and the instability of the unique stationary point imply that the van der Pol equation has a nontrivial periodic solution. This is a consequence of the Poincaré-Bendixson Theor作者: fiction 時間: 2025-3-28 11:22
Asymptotic Expansions,mple, as we mentioned it in Remark V-1-4, the divergent formal power series.is a formal solution of ..This equation has an actual solution .Integrating by parts,we obtain. Since.we conclude that.an asymptotic representation of an actual solution by means of a formal solution. In this chapter, we exp作者: AVANT 時間: 2025-3-28 16:18
Singularities of the Second Kind,III-1,XIII-2, and XIII-3, a basic existence theorem of asymptotic solutions in the sense of Poincaré is proved in detail. In §XII-4,this result is used to prove a block-diagonalization theorem of a linear system. The materials in §§XIII-1—XIII-4 are also found in [Si7]. The main topic of §XIII-5 is 作者: 厚顏 時間: 2025-3-28 19:48 作者: Genome 時間: 2025-3-29 00:19
General Theory of Linear Systems,fraction decomposition of reciprocal of the characteristic polynomial. It is relatively easy to obtain this decomposition with an elementary calculation if all eigenvalues of a given matrix are known (cf. Examples IV-1-18 and IV-1-19). In §IV-2, we explain the general aspect of linear homogeneous sy作者: ALE 時間: 2025-3-29 04:37 作者: conception 時間: 2025-3-29 09:36 作者: Arroyo 時間: 2025-3-29 13:26
Stability,table manifolds more closely for analytic differential equations. First we change a given system by an analytic transformation to a simple standard form. By virtue of such a simplification, we can construct the stable manifold in a simple analytic form. This idea is applied to analytic systems in ?.作者: headway 時間: 2025-3-29 16:42
The Second-Order Differential Equation ,d small. This is a typical problem of regular perturbations. In §X-6, we explain how to locate the unique periodic solution of (E) geometrically as..In §X-8, we explain how to find an approximation of the periodic solution of (E) analytically as..This is a typical problem of singular perturbations. 作者: 興奮過度 時間: 2025-3-29 23:05
Singularities of the Second Kind,n [Huk4] and [Tul]. In §XIII-7, the Newton polygon of a linear differential operator is defined. This polygon is useful when we calculate formal solutions of an n-th-order linear differential equation (cf. [St]). In §XIII-8, we explain asymptotic solutions in the Gevrey asymptotics. To understand ma作者: 歡樂中國 時間: 2025-3-30 00:12 作者: 不安 時間: 2025-3-30 06:28
R. J. Geretshauser,R. Speith,W. Kleyeal] and the existence and uniqueness Theorem I-1-4 is due to é. Picard [Pi] and E. Lindel?f [Lindl, Lind2]. The extension of these local solutions to a larger interval is explained in §I-3, assuming some basic requirements for such an extension. In §I-4, using successive approximations, we explain 作者: osteopath 時間: 2025-3-30 12:12 作者: oxidize 時間: 2025-3-30 15:04
Anika Marusczyk,Holger Wüst,Tim Kolb. As the function.is not analytic at . 0, Theorem I-4-1 does not apply to system (E). Furthermore, the existence of formal power series solutions of (E) is not always guaranteed. Nevertheless, it is known that if a formal power series solution of (E) exists, then the series is always convergent. Thi作者: Heart-Rate 時間: 2025-3-30 19:27 作者: 戰(zhàn)勝 時間: 2025-3-30 22:57
Anderson Transitions and Interactionstable manifolds more closely for analytic differential equations. First we change a given system by an analytic transformation to a simple standard form. By virtue of such a simplification, we can construct the stable manifold in a simple analytic form. This idea is applied to analytic systems in ?.作者: 瘙癢 時間: 2025-3-31 04:39 作者: 使?jié)M足 時間: 2025-3-31 07:50
https://doi.org/10.1007/978-3-031-17937-2n [Huk4] and [Tul]. In §XIII-7, the Newton polygon of a linear differential operator is defined. This polygon is useful when we calculate formal solutions of an n-th-order linear differential equation (cf. [St]). In §XIII-8, we explain asymptotic solutions in the Gevrey asymptotics. To understand ma作者: Stagger 時間: 2025-3-31 11:21
This chapter introduces you to the stages of a conveyancing transaction from the point of view of the seller’s solicitor. It does not attempt to set out everything that needs to be done, but does detail the major steps and serves to put the other chapters into context.
