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arxiv: 1811.06121 · v1 · pith:JZVGQ3KVnew · submitted 2018-11-14 · 🧮 math.CA

Existence of solutions of integral equations defined in unbounded domains via spectral theory

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keywords integraldefinedequationssolutionsspectraltheoryasymptoticbanach
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In this work we study integral equations defined on the whole real line. Using a suitable Banach space, we look for solutions which satisfy some certain kind of asymptotic behavior. We will consider spectral theory in order to find fixed points of the integral operator.

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