SUMMARY
We consider linear and nonlinear models of business behavior under external pulse investments to basic production assets of enterprises.In the article used methods and models of decision making, mathematical models of the dynamics, evolutionary models with implicit and degenerate differential equations.The article investigates the linear and nonlinear dynamics model production with external impulse investment in fixed assets of enterprises. Analyzed deceleration and acceleration rates of output growth, the effects of stabilization of fixed assets, investment optimization dynamics pulsed with quadratic performance.Obtained formulas of overall production and basic assets contain jumps at moments of investment earnings. We analyze the deceleration and acceleration of business growth, the stabilization of basic assets, the optimization of dynamics of pulse investments with quadratic cost function.Key words: mathematical modeling, business behavior, pulse investments, dynamics model production