2017
Том 69
№ 7

All Issues

Weakly Nonlinear Fredholm Integral Equations with Degenerate Kernel in Banach Spaces

Zhuravlyov V. Р.


Abstract

We consider weakly nonlinear Fredholm integral equations with degenerate kernel in Banach spaces and establish a necessary condition and sufficient conditions for the existence of solutions of equations of this kind. The convergent iterative procedures are proposed for the construction either of a single solution or of at least one possible solution.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 11, pp 1662-1677.

Citation Example: Zhuravlyov V. Р. Weakly Nonlinear Fredholm Integral Equations with Degenerate Kernel in Banach Spaces // Ukr. Mat. Zh. - 2015. - 67, № 11. - pp. 1477-1490.