Browsing by Author "Li, Yongkun"
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Item type:Article, Access status: Open Access , Existence and uniqueness of anti-periodic solutions for a class of nonlinear n-th order functional differential equations(2011) Liu, Ling; Li, YongkunIn this paper, we use the method of coincide degree theory to establish new results on the existence and uniqueness of anti-periodic solutions for a class of nonlinear n-th order functional differential equations of the form $x^{(n)}(t)=F(t, x_t, x^{(n-1)}_t, x(t), x^{(n-1)}(t), x(t-\tau(t)), x^{(n-1)}(t-\sigma(t))).$Item type:Article, Access status: Open Access , Existence of solutions for a four-point boundary value problem of a nonlinear fractional differential equation(2011) Dou, Xiaoyan; Li, Yongkun; Liu, PingIn this paper, we discuss a four-point boundary value problem for a nonlinear differential equation of fractional order. The differential operator is the Riemann-Liouville derivative and the inhomogeneous term depends on the fractional derivative of lower order. We obtain the existence of at least one solution for the problem by using the Schauder fixed-point theorem. Our analysis relies on the reduction of the problem considered to the equivalent Fredholm integral equation.Item type:Article, Access status: Open Access , Four positive periodic solutions of a discrete time Lotka-Volterra competitive system with harvesting terms(2011) Liu, Xinggui; Ren, Yaping; Li, YongkunIn this paper, by using Mawhin's continuation theorem of coincidence degree theory, we establish the existence of at least four positive periodic solutions for a discrete time Lotka-Volterra competitive system with harvesting terms. An example is given to illustrate the effectiveness of our results.