New results of periodic solutions for Rayleigh type p-Laplacian equation with a variable coefficient ahead of the nonlinear term

作者：Liang Feng^*; Guo Lixiang; Lu Shiping

来源：Nonlinear Analysis-Theory Methods & Applications, 2009, 70(5): 2072-2077.

DOI：10.1016/j.na.2008.02.107

• Periodic solution
• p-Laplacian
• Variable sign
• Rayleigh equation
• Deviating argument
• Manasevich-Mawhin continuation theorem

In this paper, we consider the existence of periodic solutions for the Rayleigh type p-Laplacian equation with a deviating argument
(phi(p)(x'(t)))' f(x'(t)) beta(t)g(x(t - tau(t))) = e(t).
The interest is that the function f(x) and the coefficient beta(t) are allowed to change signs, which is different from the corresponding ones of known literature.

• 出版日期2009-3-1
• 单位安徽师范大学