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On solutions of neutral nonlocal evolution equations with nondense domain

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Abstract

In this paper, with Sadovskii's and Banach's fixed point theorems applied, we establish some results on the existence of integral solutions, strong solutions, and strict solutions for a class of nondensely defined neutral evolution equations with nonlocal conditions. Also, an example is given in the end to show the applications of the obtained results.

Original languageEnglish
Pages (from-to)392-410
Number of pages19
JournalJournal of Mathematical Analysis and Applications
Volume299
Issue number2
DOIs
StatePublished - 15 Nov 2004

Keywords

  • Existence of solutions
  • Hille-Yosida condition
  • Integrated semigroups
  • Nonlocal Cauchy problem

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