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Note on nonlinear Volterra integral equation in Hilbert space

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Publication:1150785
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DOI10.3792/PJAA.56.9zbMath0457.45008OpenAlexW2091346201MaRDI QIDQ1150785

Hiroki Tanabe

Publication date: 1980

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.56.9


zbMATH Keywords

Hilbert spaceinitial value problemnonlinear Volterra integral equationstability of solutionsimproper integralm-accretive operator


Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Other nonlinear integral equations (45G10) Heat equation (35K05) Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05)


Related Items (2)

Existence and sharp regularity results for linear parabolic non- autonomous integro-differential equations ⋮ Volterra integro-differential equations with accretive nonlinearity




Cites Work

  • Unnamed Item
  • An abstract functional differential equation and a related nonlinear Volterra equation
  • On an Integral Equation in a Hilbert Space




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