Helium is has been in existence since the beginning of the universe.
Care is necessary to the wellbeing of something but one cannot say there is something necessary to the existence of something, if something exists, it exists.
A beginning is an opening to something, or a means by which something is begun or started.
early childhood; the beginning or early existence of anything
Something Beginning with C was created in 1991.
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Thor, the god of thunder in Norse Mythology has no real beginning.
Your sentence makes no sense as "come not into existence" doesn't work. The IRS had a beginning. http://www.irs.gov/uac/Brief-History-of-IRS.
Answer your question.
A river is something that has a beginning and an end but never stops moving.
because, he does
1. Commencing, or in process of development; beginning to exist or to grow; coming into being; as, a nascent germ. Nascent passions and anxieties. --Berkley. 2. (Chem.) Evolving; being evolved or produced.