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On the Cauchy problem for some abstract nonlinear differential equations

โœ Scribed by Abujabal, Hamza A. S. ;El-Borai, Mahmoud M.


Book ID
112971904
Publisher
Springer-Verlag
Year
1996
Tongue
English
Weight
131 KB
Volume
3
Category
Article
ISSN
1226-0061

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The Cauchy problem for nonlinear abstrac
โœ Jin Liang; Ti-Jun Xiao ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 466 KB

In this paper, we use existence families and admissible phase spaces to study the Cauchy problem for a class of nonlinear abstract functional differential equations with infinite delay in a unified way. Our main results concern the existence and uniqueness of mild solutions, strong solutions, and cl