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具可变号系数的二阶时标动态方程的振动准则 被引量:1

Oscillation Criteria for Second-Order Dynamic Equations with Oscillatory Coefficients on Time Scales
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摘要 建立了一类带p-Laplacian和阻尼项,具可变号系数的二阶非线性时标动态方程(r(t)φα(x6△(t)))^△+p(t)φα(x^△(t))+q(t)f(x^σ(t))=0的振动准则,并给出两个例子说明所得结果的应用. This paper establishes the oscillation criteria for second-order dynamic equations with p-Laplacian, damping and oscillatory coefficients on time scales of the form (r(t)φα(x6△(t)))^△+p(t)φα(x^△(t))+q(t)f(x^σ(t))=0 Two examples are included to show the significance of the results.
出处 《应用数学学报》 CSCD 北大核心 2016年第1期121-129,共9页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(11271379) 广东省高等学校优秀青年教师培养计划(ZX03240302) 顺德职业技术学院青年科研骨干教师培养(2015-KJZX080)资助项目
关键词 二阶时标动态方程 可变号系数 振动准则 P-LAPLACIAN 阻尼项 second-order dynamic equations on time scales oscillatory coefficients oscillation criteria p-Laplacian damping
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