具有非紧性向量值测度的Banach空间中的二阶Cauchy问题及其在Kirchhoff方程中的应用

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.23952/jnfa.2023.10

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The second-order Cauchy problem in a scale of Banach spaces with vector-valued measures of noncompactness and an application to Kirchhoff equations

. In the paper, by using Darbo-Sadovskii ﬁxed point theorem for condensing operators on Fr ´ echet spaces with respect to vector-valued measure of noncompactness, we prove the existence results for the second-order Cauchy problem u (cid:48)(cid:48) ( t ) = f ( t , u ( t )) , t ∈ ( 0 , T ) , u ( 0 ) = u 0 , u (cid:48) ( 0 ) = u 1 , in a scale of Banach spaces. The result is applied to the Kirchhoff equations in Gevrey class.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.