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

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

引用次数: 0

Abstract

. 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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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

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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

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