Abstract:

A class of stochastic neutral technical progress and investment system was discussed. By successive approximations of solutions in a general functional setting, the existence and uniqueness of solution for stochastic agedependent population dynamic system were proved by means of the Bihari inequality,
the Burkholder-Davis-Gundy’s inequality and the Gronwall inequality under nonLipschitz condition, which depends on time.

Key words: nonLipschitz condition； existence； uniqueness； stochastic neutral technical, investment system