Solution of a nonlinear singular integral equation with quadratic nonlinearity
Abstract
Using methods of the theory of boundary-value problems for analytic functions, we prove a theorem on the existence of solutions of the equation u2(t)+(1π∞∫−∞u(τ)τ−tdτ)2=A2(t) and determine the general form of a solution by using zeros of an entire function A2(z) of exponential type.Downloads
Published
25.05.2004
Issue
Section
Short communications
How to Cite
Gun’ko, O. V. “Solution of a Nonlinear Singular Integral Equation With Quadratic Nonlinearity”. Ukrains’kyi Matematychnyi Zhurnal, vol. 56, no. 5, May 2004, pp. 695-04, https://umj.imath.kiev.ua/index.php/umj/article/view/3790.