陈仕洲.一类奇性的p-Laplacian-Rayleigh方程的周期正解的存在性[J].井冈山大学自然版,2016,(4):6-8 |
一类奇性的p-Laplacian-Rayleigh方程的周期正解的存在性 |
POSITIVE PERIODIC SOLUTIONS FOR A KIND OF P-LAPLACIAN-RAYLEIGH EQUATION WITH SINGULARITY |
投稿时间:2016-04-17 修订日期:2016-04-23 |
DOI:10.3969/j.issn.1674-8085.2016.04.002 |
中文关键词: p-Laplacian-Rayleigh方程 周期正解 奇性 重合度理论 |
英文关键词: p-Laplacian-Rayleigh equation positive periodic solution singularity coincidence degree |
基金项目:广东省高等教育教学改革项目(GDJG20142396);韩山师范学院理科团队项目(LT201202) |
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中文摘要: |
利用重合度理论,研究一类具有奇性的p-Laplacian-Rayleigh方程,获得其周期正解存在性新的充分条件,推广和改进了已有文献中的相关结论。 |
英文摘要: |
Based on the continuation theorem of coincidence degree, we study a kind of p-Laplacian-Rayleigh equation with a singularity. Some new sufficient conditions for the existence of positive periodic solutions are obtained. The results have extended and improved the related reports in the literatures. |
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