不定奇异项双相问题正周期解的存在性

IF 1 4区数学 Q3 MATHEMATICS, APPLIED Journal of Applied Analysis and Computation Pub Date : 2023-01-01 DOI:10.11948/20230070

Yu Cheng, Baoyuan Shan, Zhanbing Bai

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引用次数: 0

摘要

研究了一类具有双相算子和混合奇异项的周期边值问题的可解性。利用Manásevich-Mawhin的延拓定理和先验估计技术，得到了正解的存在性结果。给出了几个数值算例来说明主要结果。

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EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR DOUBLE PHASE PROBLEM WITH INDEFINITE SINGULAR TERMS

In this article, the solvability of a class of periodic boundary value problems with double phase operators and mixed singular terms is considered. By applying the continuation theorem of Manásevich-Mawhin and techniques of a prior estimates, some existence results of positive solutions are obtained. Several numerical examples are given to illustrate the main results.

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来源期刊

Journal of Applied Analysis and Computation MATHEMATICS, APPLIED-

CiteScore

2.30

自引率

9.10%

发文量

期刊介绍： The Journal of Applied Analysis and Computation (JAAC) is aimed to publish original research papers and survey articles on the theory, scientific computation and application of nonlinear analysis, differential equations and dynamical systems including interdisciplinary research topics on dynamics of mathematical models arising from major areas of science and engineering. The journal is published quarterly in February, April, June, August, October and December by Shanghai Normal University and Wilmington Scientific Publisher, and issued by Shanghai Normal University.