We consider the time-oscillating Hartree-type Schrödinger equation , where is a periodic function. For the mean value of , we show that the solution converges to the solution of for their local well-posedness and global well-posedness.
Xu Chen. "A Time-Oscillating Hartree-Type Schrödinger Equation." Abstr. Appl. Anal. 2014 (SI12) 1 - 7, 2014. https://doi.org/10.1155/2014/950132