On some nonlinear equations

Authors

  • Ioannis K. Argyros New Mexico State University.

DOI:

https://doi.org/10.22199/S07160917.1988.0015.00005

Keywords:

Quadratic equation, Banach space, large solutions

Abstract

A new method for finding large solutions of quadratic equations is presented.

Author Biography

Ioannis K. Argyros, New Mexico State University.

Department of Mathematics.

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) .

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.

Issue

Section

Artículos

Most read articles by the same author(s)

1 2 > >>