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TPS61020: Startup problem

Part Number: TPS61020

Dear all.

Our customer changes USB and the input of the battery.
The battery is 3 cells Alkaline battery.
When it changed this circuit, it may not start by the voltage of the battery.
Input voltage of TPS61020 and the relations of the output voltage are as follows.

O is no problem, but does not start in the part of the X.

Please teach me what kind of problem is thought about.

Regards,
PAN-M