四阶P-Laplacian中立型泛函微分方程周期解的存在性(英文)

Existence of Periodic Solutions for Four-order P-Laplacian Neutral Functional Differential Equation

考虑了如下一类四阶P-Laplacian中立型泛函微分方程n n[″φp((μ(t)-μ(t-rj)j∑cj=1))]″=f(μ(t))μ′(t)+α(t)g(μ(t))+))+p(t)j∑βj(t)g(μ(t-γj(t)=1周期解的存在性.通过使用Mawhin重合度理论,得到了其周期解存在的充分性条件的新结果,改进和推广了已有结果.

The existence of solutions for a kind of four-order p-Laplacian neutral functional differential equation as follows[（υ）p（（μ（t）-n ∑ j=1 cjμ（t-rj））＂）]＂=f（μ（t））μ＇（t）＋α（t）g（μ（t））＋n ∑ j=1βj（t）g（μ（t-tj（t）））＋p（t）is considered. By using continuation theorem of coincidence degree theory developed by Mawhin, some new results on the sufficient condition for the existence of periodic solutions are obtained . This result improve and generalize some known result.