On the existence of solutions for Volterra integral inclusions in Banach spaces

Evgenios P.Avgerinos

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On the existence of solutions for Volterra integral inclusions in Banach spaces

机译：Banach空间中Volterra积分包含问题解的存在性。

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In this paper we examine a class of nonlinear integral inclusions defined in a separable Banach space. For this class of inclusions of Volterra type we establish two existence results, one for inclusions with a convex-valued orientor field and the other for inclusions with nonconvex-valued orientor field. We present conditions guaranteeing that the multivalued map that represents the right-hand side of the inclusion isα-condensing using for the proof of our results a known fixed point theorem forα-condensing maps.

机译：在本文中，我们研究了在可分离的Banach空间中定义的一类非线性积分包含物。对于这类Volterra型夹杂物，我们建立了两个存在性结果，一个是具有凸值取向场的夹杂物，另一个是非凸值取向场的夹杂物。我们提出了一些条件，以保证表示包含物右侧的多值映射是α压缩的，使用我们已知的α压缩图的不动点定理来证明我们的结果。

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《International journal of stochastic analysis》 |1993年第3期|共9页
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Evgenios P.Avgerinos;
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机译：Banach空间中具有非线性增长条件的微分包含的存在性结果
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机译：关于Banach空间中Volterra积分包含解的存在性

On the existence of solutions for Volterra integral inclusions in Banach spaces

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