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On integral operators and nonlinear integral equations in the spaces of functions of bounded variation

机译:有界变化函数空间中的积分算子和非线性积分方程

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In this paper we introduce new conditions on a kernel of a linear Fredholm integral operator which turn out to be sufficient and necessary for that operator to map the space of functions of bounded variation in the sense of Jordan into itself. Furthermore, we apply those conditions to deal with the problem of the existence of solutions to nonlinear Hammerstein equations in that space. To achieve our goals we will use a topological degree approach as well as a fixed point approach. (C) 2016 Elsevier Inc. All rights reserved.
机译:在本文中,我们介绍了关于线性Fredholm积分算子的核的新条件,对于该算子将约旦意义上的有界变化函数的空间映射到自身中,这是充分必要的。此外,我们将这些条件用于解决该空间中非线性Hammerstein方程解的存在性问题。为了实现我们的目标,我们将使用拓扑度方法和定点方法。 (C)2016 Elsevier Inc.保留所有权利。

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