The Criterion of Relative Compactness for a Class of AbstractFunction Groups in an Infinite Interval and Its Applications

LIU Zhenbin;LIU Lishan;ZHAO Jing

Journal of Systems Science and Mathematical Sciences ›› 2008, Vol. 28 ›› Issue (3) : 370-378.

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Journal of Systems Science and Mathematical Sciences ›› 2008, Vol. 28 ›› Issue (3) : 370-378. DOI: 10.12341/jssms10077
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The Criterion of Relative Compactness for a Class of AbstractFunction Groups in an Infinite Interval and Its Applications

  • LIU Zhenbin(1)(2),LIU Lishan(1),ZHAO Jing(2)
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Abstract

A sufficient and necessary condition is given for relative compactness of a class of abstract continuous function groups. By applying it, the existence of solutions of terminal value problems for second order differential equation is proved.

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Relative compactness / sufficient and necessary condition / equicontinuous / terminal value problems.

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LIU Zhenbin , LIU Lishan , ZHAO Jing. The Criterion of Relative Compactness for a Class of AbstractFunction Groups in an Infinite Interval and Its Applications. Journal of Systems Science and Mathematical Sciences, 2008, 28(3): 370-378 https://doi.org/10.12341/jssms10077
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