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Limiting equations for problems involving long range memory

About this Title

M. Marcus and Victor Mizel

Publication: Memoirs of the American Mathematical Society
Publication Year 1983: Volume 43, Number 278
ISBNs: 978-0-8218-2278-4 (print); 978-1-4704-0688-2 (online)
MathSciNet review: 699238
MSC: Primary 54H20; Secondary 34K25, 45D05, 45M05

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Table of Contents


  • 1. Introduction
  • 2. The class of $\mathcal {H}$-operators
  • 3. Existence and continuous dependence of solutions
  • 4. A condition for precompactness of $\mathrm {tran}(H)$
  • 5. Limiting equations
  • 6. A generalization
  • 7. An application to Hammerstein hereditary operators I
  • 8. An application to functional differential equations
  • 9. An applications to Hammerstein hereditary operators II
American Mathematical Society