Existence results for non-linear singular integral equations with Hilbert kernel in Banach spaces

Mohmed H. Saleh; Samir M. Amer; Marwa H. Ahmed

Applications of Mathematics (2009)

  • Volume: 54, Issue: 4, page 337-349
  • ISSN: 0862-7940

Abstract

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A class of non-linear singular integral equations with Hilbert kernel and a related class of quasi-linear singular integro-differential equations are investigated by applying Schauder's fixed point theorem in Banach spaces.

How to cite

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Saleh, Mohmed H., Amer, Samir M., and Ahmed, Marwa H.. "Existence results for non-linear singular integral equations with Hilbert kernel in Banach spaces." Applications of Mathematics 54.4 (2009): 337-349. <http://eudml.org/doc/37824>.

@article{Saleh2009,
abstract = {A class of non-linear singular integral equations with Hilbert kernel and a related class of quasi-linear singular integro-differential equations are investigated by applying Schauder's fixed point theorem in Banach spaces.},
author = {Saleh, Mohmed H., Amer, Samir M., Ahmed, Marwa H.},
journal = {Applications of Mathematics},
keywords = {non-linear singular integral equation; Schauder's fixed point theorem; Banach space; Hilbert kernel; quasi-linear singular integro-differential equations; non-linear singular integral equation; Schauder's fixed point theorem; Hilbert kernel; quasi-linear singular integro-differential equations},
language = {eng},
number = {4},
pages = {337-349},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Existence results for non-linear singular integral equations with Hilbert kernel in Banach spaces},
url = {http://eudml.org/doc/37824},
volume = {54},
year = {2009},
}

TY - JOUR
AU - Saleh, Mohmed H.
AU - Amer, Samir M.
AU - Ahmed, Marwa H.
TI - Existence results for non-linear singular integral equations with Hilbert kernel in Banach spaces
JO - Applications of Mathematics
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 4
SP - 337
EP - 349
AB - A class of non-linear singular integral equations with Hilbert kernel and a related class of quasi-linear singular integro-differential equations are investigated by applying Schauder's fixed point theorem in Banach spaces.
LA - eng
KW - non-linear singular integral equation; Schauder's fixed point theorem; Banach space; Hilbert kernel; quasi-linear singular integro-differential equations; non-linear singular integral equation; Schauder's fixed point theorem; Hilbert kernel; quasi-linear singular integro-differential equations
UR - http://eudml.org/doc/37824
ER -

References

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  15. Nassr-Eddine Tatar, On the integral inequality with a kernel singular in time and space, J. Inequal. Pure Appl. Math. 4 (2003). (2003) MR2051583
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