Titlebook: Basic Theory of Ordinary Differential Equations; Po-Fang Hsieh,Yasutaka Sibuya Textbook 1999 Springer Science+Business Media New York 1999

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咒語(yǔ)

concise

A. Moreno,A. Muramatsu,S. ManmanaAbstract.The initial-value problem.is equivalent to the integral equation

潛移默化

NADIR

預(yù)示

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

巨大沒(méi)有

編輯才信任

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

dictator

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

Left-Atrium

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