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四阶p-Laplacian方程多时滞问题周期解的存在性 被引量:1

Periodic Solutions For A Fourth-Order P-Laplacian Differential Equation With A Deviating Argument
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摘要 通过使用Mawhin连续性定理,研究四阶p-Laplacian微分方程多时滞问题(φ_p(x″(t)))″+f(t,x″(t))+(?)β_i(t)g(x(t-γ_i(t)))=p(t)周期解的存在性。 By using the theory of coincidence degree, we study a kind of periodic solutions to a fourth order p-Laplacian differential equation with multiple deviating arguments as follows (Фp(x″(t)))″+f(t,x″(t))+^n∑i=1βi(t)g(x(t-γi(t)))=p(t)Under various assumptions, new results on the existence of periodic solutions are obtained
出处 《数学的实践与认识》 CSCD 北大核心 2013年第7期176-183,共8页 Mathematics in Practice and Theory
基金 国家自然科学基金(11271364)
关键词 P-LAPLACIAN方程 多时滞问题 周期解 Mawhin连续性定理 Periodic solutions Mawhin continuation theory p-Laplacian equation Multiple deviating argument
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