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Generalization of an integro-transcendetnal equation system with vanishing solutions in free phase problem

机译:自由相问题中具有消失解的整数超越方程组的推广

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The nonlinear integral equation of Hammerstein type with the linear dependence of the argument of unknown function and nonlinear dependency on its modulus is considered. Solutions of this equation are represented by means of polynomials of finite degree describing, in particular, zeros of these solutions. For the case of solutions vanishing in the considered interval, new system of integro-transcendental equation is obtained.
机译:考虑具有未知函数自变量的线性相关性和其模量的非线性相关性的Hammerstein型非线性积分方程。该方程的解由有限度的多项式表示,特别是描述了这些解的零。对于解决方案在所考虑的区间内消失的情况,获得了一个新的积分超越方程组。

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