DOI: 10.24193/fpt-ro.2021.2.61

Authors: Liu Yang, Hui Zhou and Chunfang Shen

Abstract: In this paper, by using the Guo-Krasnoselskii theorem, we investigate the existence and nonexistence of positive solutions of a class of boundary value problem of third-order nonlinear differential equation involving Stieltjes integral conditions. Under some growth conditions imposed on the nonlinear term, we obtain explicit ranges of values of parameters with which the problem has a positive solution and has no positive solution respectively. An example is given to illustrate the main results of the paper.

Key Words and Phrases: Positive solution, boundary value problem, fixed point, cone.

2010 Mathematics Subject Classification: 45C05, 34B18, 47H10.

Published on-line: July 1st, 2021.

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