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Topological Methods in Nonlinear Analysis

Positive solutions of nonlocal differential equations with convolution coefficients and derivative dependence
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Positive solutions of nonlocal differential equations with convolution coefficients and derivative dependence

Authors

  • Xinan Hao https://orcid.org/0000-0002-1716-7718
  • Xuhui Wang
  • Shunze Chu

DOI:

https://doi.org/10.12775/TMNA.2025.054

Keywords

Nonlocal differential equation, convolution, derivative dependence, positive solution

Abstract

In this paper, we investigate the existence of positive solutions to a class of $n$-th order nonlocal differential equations with convolution coefficients and derivative dependence. By constructing nonstandard cone and specific open set, we establish the existence result of positive solutions by means of fixed point index theory. Two examples are also given to illustrate the main result.

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Topological Methods in Nonlinear Analysis

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Published

2026-06-28

How to Cite

1.
HAO, Xinan, WANG, Xuhui and CHU, Shunze. Positive solutions of nonlocal differential equations with convolution coefficients and derivative dependence. Topological Methods in Nonlinear Analysis. Online. 28 June 2026. pp. 1 - 15. [Accessed 25 July 2026]. DOI 10.12775/TMNA.2025.054.
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