<b>Limit Cycles Investigation for a Class of Nonlinear Systems via Differential and Integral Inequalities</b> In this paper, the existence of limit cycles for a class of nonlinear systems is explored. Based on the time domain approach with differential and integral inequalities, the phenomenon of the stable limit cycle can be accurately verified for such nonlinear systems. Furthermore, the exponentially stable limit cycles, frequency of oscillation, and guaranteed convergence rate can be correctly calculated. Finally, some numerical simulations are provided to demonstrate the feasibility and effectiveness of the main results. Limit cycle, nonlinear systems, stable limit cycles, exponential convergence rate. 698-702 Issue-1 Volume-2 Yeong-Jeu Sun