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Global solutions of initial value problems for nonlinear integral-differential equations of mixed type in Banach spaces.

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Publication:1860691
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zbMath1043.45011MaRDI QIDQ1860691

Li Shan Liu, Zhao-Cai Hao

Publication date: 2002

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

global solutioninitial value problemsBanach spacemeasure of non-compactnessnonlinear integral-differential equation of mixed types


Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Abstract integral equations, integral equations in abstract spaces (45N05)


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Global solutions of initial value problems for nonlinear second-order integro-differential equations of mixed type in Banach spaces ⋮ Construction of measures of noncompactness of \(DC^{n}[J,E\) and \(C^{n}_{0}[J,E]\) with application to the solvability of \(n\)th-order integro-differential equations in Banach spaces]



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