• Title of article

    Integral inequalities and mild solutions of semilinear neutral evolution equations

  • Author/Authors

    J.P. Dauer، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2004
  • Pages
    14
  • From page
    189
  • To page
    202
  • Abstract
    Existence of mild solutions to semilinear neutral evolution equations with nonlocal conditions is proved. The result is obtained by using fractional power of operators, Krasnoselski–Schaefer type fixed point theorem and by applying a modification of the Bihari type inequality to the case of singular integral inequality. An application to partial differential equations is given.  2004 Elsevier Inc. All rights reserved.
  • Keywords
    Nonlocal Cauchy problem , Semilinear neutral evolution equation , Krasnoselski–Schaefer fixed pointtheorem , integral inequalities
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2004
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    933578