Positive Solutions of Fourth-Order Equations under Nonlocal Boundary Value Conditions of Sturm-Liouville Type |
Received:March 12, 2022 Revised:May 22, 2022 |
Key Words:
positive solution fixed point index cone
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Fund Project:Supported by the National Training Program of Innovation and Entrepreneurship for Undergraduates (Grant No.S202210145149). |
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Abstract: |
In this paper, we study the fourth-order problem with the first and second derivatives in nonlinearity under nonlocal boundary value conditions of Sturm-Liouville type involving Stieltjes integrals. Some inequality conditions on nonlinearity are presented that guarantee the existence of positive solutions to the problem by the theory of fixed point index on a special cone. Some examples are provided to support the main results under mixed boundary conditions containing multi-point with sign-changing coefficients and integral with sign-changing kernel. |
Citation: |
DOI:10.3770/j.issn:2095-2651.2023.01.010 |
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