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Ezquerro, J. A.; Hernández, M. A. Picard's Iterations for Integral Equations of Mixed Hammerstein Type. Canadian mathematical bulletin, Tome 51 (2008) no. 3, pp. 372-377. doi: 10.4153/CMB-2008-037-9
@article{10_4153_CMB_2008_037_9,
author = {Ezquerro, J. A. and Hern\'andez, M. A.},
title = {Picard's {Iterations} for {Integral} {Equations} of {Mixed} {Hammerstein} {Type}},
journal = {Canadian mathematical bulletin},
pages = {372--377},
year = {2008},
volume = {51},
number = {3},
doi = {10.4153/CMB-2008-037-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-037-9/}
}
TY - JOUR AU - Ezquerro, J. A. AU - Hernández, M. A. TI - Picard's Iterations for Integral Equations of Mixed Hammerstein Type JO - Canadian mathematical bulletin PY - 2008 SP - 372 EP - 377 VL - 51 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-037-9/ DO - 10.4153/CMB-2008-037-9 ID - 10_4153_CMB_2008_037_9 ER -
%0 Journal Article %A Ezquerro, J. A. %A Hernández, M. A. %T Picard's Iterations for Integral Equations of Mixed Hammerstein Type %J Canadian mathematical bulletin %D 2008 %P 372-377 %V 51 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-037-9/ %R 10.4153/CMB-2008-037-9 %F 10_4153_CMB_2008_037_9
[1] [1] Argyros, I. K., Newton-like methods under mild differentiability conditions with error analysis. Bull. Austral. Math. Soc. 37(1988), no. 1, 131–147. Google Scholar
[2] [2] Argyros, I. K., Advances in the Efficiency of Computational Methods and Applications. World Scientific, River Edge, NJ, 2000. Google Scholar
[3] [3] Atkinson, K. E., A survey of numerical methods for solving nonlinear integral equations. J. Integral Equations Appl. 4(1992), no. 1, 15–46. Google Scholar
[4] [4] Davis, H. T., Introduction to Nonlinear Differential and Integral Equations. Dover, New York, 1962. Google Scholar
[5] [5] Ganesh, M. and Joshi, M. C., Numerical solvability of Hammerstein integral equations of mixed type. IMA J. Numer. Anal. 11(1991), no. 1, 21–31. Google Scholar
[6] [6] Kantorovich, L. V. and Akilov, G. P., Functional Analysis. Second edition. Pergamon Press, Oxford, 1982. Google Scholar
[7] [7] Kumar, S. and Sloan, I. H., A new collocation-type method for Hammerstein integral equations. Math. Comput. 48(1987), no. 178, 585–593. Google Scholar
[8] [8] Moore, C., Picard iterations for solution of nonlinear equations in certain Banach spaces. J. Math. Anal. Appl. 245(2000), no. 2, 317–325. Google Scholar
[9] [9] Porter, D. and Stirling, D. S. G., Integral Equations. A Practical Treatment, from Spectral Theory to Applications. Cambridge University Press, Cambridge, 1990. Google Scholar
[10] [10] Rall, L. B., Computational Solution of Nonlinear Operator Equations. Robert E. Krieger, New York, 1979. Google Scholar
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