涉及Stieltjes积分条件的非线性三阶边值问题的正解

IF 0.9 4区数学 Q2 MATHEMATICS

Fixed Point Theory Pub Date : 2021-07-01 DOI:10.24193/fpt-ro.2021.2.61

Liu Yang, Hui Zhou, Chunfang Shen

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引用次数: 0

摘要

摘要：本文利用Guo-Krasnoselskii定理，研究了一类含Stieltjes积分条件的三阶非线性微分方程边值问题正解的存在性和不存在性。在非线性项的某些增长条件下，我们分别得到了问题有正解和无正解的参数的显式取值范围。通过实例说明了本文的主要结果。

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Positive solutions of nonlinear third-order boundary value problems involving Stieltjes integral conditions

Authors’ 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.

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来源期刊

Fixed Point Theory 数学-数学

CiteScore

2.30

自引率

9.10%

发文量

审稿时长

6-12 weeks

期刊介绍： Fixed Point Theory publishes relevant research and expository papers devoted to the all topics of fixed point theory and applications in all structured set (algebraic, metric, topological (general and algebraic), geometric (synthetic, analytic, metric, differential, topological), ...) and in category theory. Applications to ordinary differential equations, partial differential equations, functional equations, integral equations, mathematical physics, mathematical chemistry, mathematical biology, mathematical economics, mathematical finances, informatics, ..., are also welcome.