On some nonlinear equations

Ioannis K. Argyros

Resumen


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

Palabras clave


Quadratic equation; Banach space; large solutions

Texto completo:

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Referencias


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.

Kantorovich, L.V. Functional analysis and applied mathematics. Uspeki Mat. Nauk, (1948), pp. 89-185.

Kelley,C. T. Approximation of solutions of some quadratic integral equations in transport theory. Journal of Integral Equations, 4, (1982), pp. 221-237.

McFarland, J. An iterative solution of the quadratic equation. Proc. Amer. Math. Soc., 9, (1958), pp. 824-830.

Rall, L. B. Quadratic equations in Banach space. Rend. Circ. Math.Palermo, 10, (1961), pp. 314-332.

_____. Solution of abstract polynomial equations by iterative methods. University of Wisconsin, Technical report Nº 892, (1968)

Nonlinear functional analysis and applications. Academic Press, New York, (1971) .




DOI: http://dx.doi.org/10.22199/S07160917.1988.0015.00005

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