THE MAXIMAL AND MINIMAL SOLUTIONS OF A CLASS OF NONLINEAR INTEGRAL EQUATIONS IN TRANSPORT THEORY

Ⅰ. INTRODUCTIONG. A. Hively has given a sufficient condition of the existence and the unique ness of solution of the equation u(x)=φ(x)+u(x)∫K(x, t)u(t)dμ(t) in L^1(μ). R. W. Leggett has given a sufficient condition, which is not readily verified, of the existence of two solutions of the