Could be a faulty battery. I had a problem with one a while ago on my V70. When the car sat overnight tha battery was flat. Jumped started perfectly and would work fine all day. Had the charging system checked by Volvo no problems. Checked the various leads and were fine from the battery. Eventually it was found that the battery voltage was slightly lower than it should be and was replaced and the problem was solved. This was with a new battery.
Best of luck
Jim
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