On some nonlinear equations
DOI:
https://doi.org/10.22199/S07160917.1988.0015.00005Keywords:
Quadratic equation, Banach space, large solutionsAbstract
A new method for finding large solutions of quadratic equations is presented.References
1. Argyros, I.K. Quadratic equations and applications to Chandrasekhar's and related equations. Bull. Austral. Math. Soc. Vol. 32, Nº 2, (1985), pp. 275-292.
2 Kantorovich, L.V. Functional analysis and applied mathematics. Uspeki Mat. Nauk, (1948), pp. 89-185.
3 Kelley,C. T. Approximation of solutions of some quadratic integral equations in transport theory. Journal of Integral Equations, 4, (1982), pp. 221-237.
4 McFarland, J. An iterative solution of the quadratic equation. Proc. Amer. Math. Soc., 9, (1958), pp. 824-830.
5. Rall, L. B. Quadratic equations in Banach space. Rend. Circ. Math.Palermo, 10, (1961), pp. 314-332.
6 _____. Solution of abstract polynomial equations by iterative methods. University of Wisconsin, Technical report Nº 892, (1968)
7 Nonlinear functional analysis and applications. Academic Press, New York, (1971) .
2 Kantorovich, L.V. Functional analysis and applied mathematics. Uspeki Mat. Nauk, (1948), pp. 89-185.
3 Kelley,C. T. Approximation of solutions of some quadratic integral equations in transport theory. Journal of Integral Equations, 4, (1982), pp. 221-237.
4 McFarland, J. An iterative solution of the quadratic equation. Proc. Amer. Math. Soc., 9, (1958), pp. 824-830.
5. Rall, L. B. Quadratic equations in Banach space. Rend. Circ. Math.Palermo, 10, (1961), pp. 314-332.
6 _____. Solution of abstract polynomial equations by iterative methods. University of Wisconsin, Technical report Nº 892, (1968)
7 Nonlinear functional analysis and applications. Academic Press, New York, (1971) .
Published
2018-03-28
How to Cite
[1]
I. K. Argyros, “On some nonlinear equations”, Proyecciones (Antofagasta, On line), vol. 7, no. 15, pp. 75-82, Mar. 2018.
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