Weakly Nonlinear Fredholm Integral Equations with Degenerate Kernel in Banach Spaces

  • V. Р. Zhuravlyov

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.
Published
25.11.2015
How to Cite
ZhuravlyovV. Р. “Weakly Nonlinear Fredholm Integral Equations With Degenerate Kernel in Banach Spaces”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, no. 11, Nov. 2015, pp. 1477-90, http://umj.imath.kiev.ua/index.php/umj/article/view/2083.
Section
Research articles