人口动力学中非线性发展方程解的爆破现象

Blow-up of Solution for Nonlinear Evolution Equation in the Population Dynamics

讨论描述人口发展规律的一类非线性发展方程具有第三类非线性边界条件的混合问题.在已知函数满足某些假设条件下,证明了其解在有限时间内爆破.

This paper discusses the mixed problem of laws for population evolution of non-linear evolution equation with the third type nonlinear boundary condition. It is proved that theblowing up of solution in definite time under some assumed conditions of known functions.