Weakly Nonlinear Fredholm Integral Equations with Degenerate Kernel in Banach Spaces
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.