论文标题

通过衡量非紧凑型的非线性二次积分方程的解决方案存在

Existence of Solutions to Non-linear Quadratic Integral Equations via Measure of Non-Compactness

论文作者

Karmakar, Surajit, Garai, Hiranmoy, Dey, Lakshmi Kanta, Chanda, Ankush

论文摘要

本手稿的目的是通过有趣的非紧密度度量概念来询问特定类型的非线性二次积分方程。首先,我们询问了一些令人兴奋的固定点定理,这些定理涉及在Banach空间中的非紧密度度量。随后,我们可以使用适当的非压缩度和获得的结果来讨论上述类型的非线性二次积分方程的解决方案。

The objective of this manuscript is to enquire for the solvability of a specific type of non-linear quadratic integral equations via the interesting notion of measure of non-compactness. Firstly, we inquire into couple of exciting fixed point theorems involving a measure of non-compactness in the setting of a Banach space. Subsequently, bringing into play a suitable measure of non-compactness and the acquired results, we discuss the existence of solution to the aforementioned kind of non-linear quadratic integral equations.

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