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Existence of solutions in the alpha-norm for partial differential equations of neutral type with finite delay

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  • Additional Information
    • Publication Information:
      Texas State University-San Marcos, University of North Texas
    • Collection:
      Texas State University: Digital Collections Repository
    • Abstract:
      In this work, we prove results on the local existence of mild solution and global continuation in the alpha-norm for some class of partial neutral differential equations. We suppose that the linear part generates a compact analytic semigroup. The nonlinear part is just assumed to be continuous. We use the compactness method, to show the main result of this work. ; Mathematics
    • File Description:
      Text; 11 pages; 1 file (.pdf); application/pdf
    • Relation:
      https://hdl.handle.net/10877/22730
    • Online Access:
      https://hdl.handle.net/10877/22730
    • Rights:
      Attribution (CC-BY) ; https://creativecommons.org/licenses/by/4.0/ ; This work is licensed under a Creative Commons Attribution 4.0 International License.
    • Accession Number:
      edsbas.9FBFDBC3