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A Priori Solution Estimates for Nonlinear Vector Integral Equations

A Priori Solution Estimates for Nonlinear Vector Integral Equations Nonlinear vector integral equations are considered. Solution estimates and solvability conditions are derived. Applications to the periodic boundary value problem are also discussed. Under some restrictions our results improve the well-known ones. The main tool in the paper is the recent estimates for the resolvent of Hilbert-Schmidt operators. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Applied Analysis de Gruyter

A Priori Solution Estimates for Nonlinear Vector Integral Equations

Gil', M. I.
Journal of Applied Analysis , Volume 9 (2) – Dec 1, 2003
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References (15)

Publisher
de Gruyter
Copyright
© Heldermann Verlag
ISSN
1425-6908
eISSN
1869-6082
DOI
10.1515/JAA.2003.187
Publisher site
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Abstract

Nonlinear vector integral equations are considered. Solution estimates and solvability conditions are derived. Applications to the periodic boundary value problem are also discussed. Under some restrictions our results improve the well-known ones. The main tool in the paper is the recent estimates for the resolvent of Hilbert-Schmidt operators.

Journal

Journal of Applied Analysis – de Gruyter

Published: Dec 1, 2003

Keywords: Nonlinear vector integral equations; solution estimates; solvability; periodic boundary value problem

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