We use the topological degree method to deal with the generalized Sturm Liouville boundary value problem (BVP) for second order mixed type functional differential equation (t)=f(t,x t, t), 0tT. Existence pri...We use the topological degree method to deal with the generalized Sturm Liouville boundary value problem (BVP) for second order mixed type functional differential equation (t)=f(t,x t, t), 0tT. Existence principle and theorem for solutions of the BVP are obtained.展开更多
In this paper, we derive a lattice model for a single species on infinite patches of one-dimensional space with that the maturation could occur at any age. The formulation involves a distribution of possible ages of m...In this paper, we derive a lattice model for a single species on infinite patches of one-dimensional space with that the maturation could occur at any age. The formulation involves a distribution of possible ages of maturation and a probability density function on which ecological assumptions are made. The following results are obtained： the existence and isotropy of the unique nonnegative solution for initial value problem, the extinction of the species provided with the non-existence of positive equilibria, and the existence of wavefronts with the wave speed c 〉 c＊.展开更多
文摘We use the topological degree method to deal with the generalized Sturm Liouville boundary value problem (BVP) for second order mixed type functional differential equation (t)=f(t,x t, t), 0tT. Existence principle and theorem for solutions of the BVP are obtained.
基金This research is Supported by Natural Science Fundation of China and Guangdong Province(04010364).
文摘In this paper, we derive a lattice model for a single species on infinite patches of one-dimensional space with that the maturation could occur at any age. The formulation involves a distribution of possible ages of maturation and a probability density function on which ecological assumptions are made. The following results are obtained： the existence and isotropy of the unique nonnegative solution for initial value problem, the extinction of the species provided with the non-existence of positive equilibria, and the existence of wavefronts with the wave speed c 〉 c＊.
