Titlebook: Basic Topological Structures of Ordinary Differential Equations; V. V. Filippov Book 1998 Springer Science+Business Media Dordrecht 1998 C

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WAIL

一回合

Weak Topology on the Space ,, and Derivation of Convergent Sequences,em theory for differential equations and inclusions. In particular, we obtain the possibility of investigating of equations with complicated discontinuities in their right hand sides in space variables. Assertions of the functional analysis cited in this chapter will be helpful in our methods of pro

Disk199

Basic Properties of Solution Spaces,ns which may be considered as the axiomatics for an appreciable part of the theory. In fact, the framework of the new theory will contain not only solution spaces of ordinary differential equation, but other objects too, although they are close to solution spaces with respect to their properties. Su

Expostulate

Convergent Sequences of Solution Spaces,the title of the chapter is a convenient tool of investigation. Further we will see that we can apply it not only in the discussion of the continuity but in the investigation of other properties of solution spaces, for instance, in the proof of the existence theorems.

后退

Peano, Caratheodory and Davy Conditions,the construction of a general theory. Although the theory is applicable to equations of very various types, for this time we have the possibility to use it only in quite narrow framework of the examples of Chapter 6.

炸壞

hardheaded

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