Fredholm-Volterra积分方程的解

Solutions to Integral Equations of Fredholm-Volterra Type

把锥理论、先验估计和拓扑度理论结合起来 ,研究如下非线性积分方程x(t) =h(t) + ∫T0K(t,s,x(s) )ds+ ∫t0H(t,s,x(s) )

The following nonlinear integral equationx(t)=h(t)+∫ T 0 K(t,s,x(s))ds+∫ t 0 H(t,s,x(s))dsis studied by combining the cone theory with the a priori estimate and topological degree theory Several existence and uniqueness results are obtained