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Ukrainian Mathematical Journal

, Volume 70, Issue 1, pp 142–163 | Cite as

Existence of Global Solutions for Some Classes of Integral Equations

  • T. Jabeen
  • R. P. Agarwal
  • V. Lupulescu
  • D. O’Regan
Article

We study the existence of Lp-solutions for a class of Hammerstein integral equations and neutral functional differential equations involving abstract Volterra operators. Using compactness-type conditions, we establish the global existence of solutions. In addition, a global existence result for a class of nonlinear Fredholm functional integral equations involving abstract Volterra equations is given.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • T. Jabeen
    • 1
  • R. P. Agarwal
    • 2
  • V. Lupulescu
    • 3
  • D. O’Regan
    • 4
  1. 1.Abdus Salam School of Mathematical SciencesGovernment College UniversityLahorePakistan
  2. 2.Texas A&M University-KingvsilleKingsvilleUSA
  3. 3.Constantin Brancusi UniversityTargu-JiuRomania
  4. 4.School of Mathematics, Statistics & Applied MathematicsNational University of IrelandGalwayIreland

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