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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.20018 |
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| _version_ | 1866916967572570112 |
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| author | Fernández-Pardo, Laura M. Rodríguez-López, Jorge |
| author_facet | Fernández-Pardo, Laura M. Rodríguez-López, Jorge |
| contents | We provide an alternative approach to Krasnosel'skii-Precup fixed point theorem for operator systems based on the Leray-Schauder fixed point index in cones. Our focus is on the case of operators whose components are entirely of compressive type. The abstract technique is applied to a system of second--order differential equations providing a coexistence positive solution by means of an eigenvalue type criterion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_20018 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Krasnosel'skii-Precup fixed point theorem and eigenvalue criteria for existence of positive solutions Fernández-Pardo, Laura M. Rodríguez-López, Jorge Functional Analysis We provide an alternative approach to Krasnosel'skii-Precup fixed point theorem for operator systems based on the Leray-Schauder fixed point index in cones. Our focus is on the case of operators whose components are entirely of compressive type. The abstract technique is applied to a system of second--order differential equations providing a coexistence positive solution by means of an eigenvalue type criterion. |
| title | On Krasnosel'skii-Precup fixed point theorem and eigenvalue criteria for existence of positive solutions |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2509.20018 |