科研方向
非線性偏微分方程的理論與應用。
著作論文
【1】Peng Yahong,Wang Y.-G.:Multiple Highly Oscillatory Shock Waves. Asymptotic Analysis,57（3-4）(2008),143-198.?
【2】Song Yongli, Peng Yahong,Wei Junjie: Bifurcations for a predator-prey system with two delays. J.Math.Anal.Appl.337(1)(2008),466--479.
【3】Jianming Zhang, Peng Yahong:Travelling waves of the diffusive Nicholsonu2019s blowflies equation with strong generic delay kernel and non-local effect. ? Nonl.Anal.68（5）（2008),1263-1270. ?
【4】Peng Yahong, Song Yongli:Existence of traveling wave solutions for a reaction-diffusion equation with distributed delays.Nonl.Anal, 67(8)(2007), 2415-2423.
【5】Peng Yahong, Wang Y.-G.: Nonlinear geometric optics for contact discontinuities and shock waves in one-dimensional Euler system for gas dynamics. J.Differential Equations, 229 (2006),317-352. ?
【6】Peng Yahong，Song Yongli： Existence of travelling wave fronts for a diffusive vector disease model with delay. J. Dyn. Control Syst. 12(1) (2006), 97--107.
【7】Song Yongli, Peng Yahong: Stability and bifurcation analysis on a Logistic model with discrete and distributed delays. Applied Mathematics and Computation. 181(2) (2006), 1745-1757. ?
【8】Song Yongli, Peng Yahong： Periodic solutions of a nonautonomous periodic model of population with continuous and discrete time. Journal of Computational and Applied Mathematics, 188(2) (2006),256-264.
【9】張建明, 彭亞紅: 具有非局部反應的時滯擴散Nicholson方程的行波解，數(shù)學年刊, A輯, 27(6) (2006), 771-778.?
【10】Peng Yahong, Wang Yaguang： Large solution of a semilinear elliptic problem, Computers and Mathematics with Application, 49, (2005), 1387-1395. ?
【11】彭亞紅, 具有非線性梯度項的半線性橢圓型方程的爆炸解，數(shù)學年刊, 26A(2), (2005),291-296.
【12】Peng Yahong, Song Yongli: Existence of entire large positive solutions of a semilinear elliptic system. Appl.Math.Comput.155（3）(2004, 687-698.
【13】Song Yongli, Peng Yahong, Han Maoan：Travelling wavefronts in the diffusive single species model with Allee effect and distributed delay, Applied Mathematics and Computation,(NewYork), 52(2),(2004),483-497.
【14】Peng Yahong, Wang, Yaguang, Song Yongli: Existence of explosive solutions of nonlinear elliptic problems. (Chinese) Math. Appl. (Wuhan) 16 (2003), no. 3, 128
承擔項目
主持東華大學科技發(fā)展基金“關于奇性波的非線性幾何光學理論及行波解的研究”（2005.10－2006.9）。
