In this paper we present some results relative to existence, uniqueness, integral in- equalities and data dependence for the solutions of the functional Volterra-Fredholm integral equation with deviating argument in a Banach space: u(x,y)=g(x, y,h(u)(x,y)) + x 0 y 0 K(x,y,s,t, u(s,t))dsdt, x, y ∈ R + by Picard operators technique. This equation is a generalization of the equation (VF) from the paper: B.G. Pachpatte, On Volterra-Fredholm integral equation in two variables, Demonstratio Math., 40(2007), No. 4, 832-852.
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机译:在本文中,我们对功能,唯一性,积分的等于和数据依赖性的一些结果,对功能的Volterra-Fredholm积分方程的解决方案,在Banach空间中偏离参数:U(x,y)= g(x, y,h(u)(x,y))+ x 0 y 0 k(x,y,s,t,u(s,t))dsdt,x,y∈R+通过皮卡算子技术。该等式是来自纸张的等式(VF)的概括:B.G. Pachpatte,在两个变量中的Volterra-Fredholm积分方程,Semageatio Math。,40(2007),第4,832-852号。
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