A vector version of Krasnosel’skiĭ’s fixed point theorem in cones and positive periodic solutions of nonlinear systems |
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Authors: | Radu Precup |
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Affiliation: | (1) Department of Applied Mathematics, Babeş–Bolyai University, 400084 Cluj, Romania |
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Abstract: | A new version of Krasnosel’skiĭ’s fixed point theorem in cones is established for systems of operator equations, where the compression-expansion conditions are expressed on components. In applications, this allows the nonlinear term of a system to have different behaviors both in components and in variables. |
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Keywords: | 47H10 47H07 34B18 34C25 |
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