Desislava combines the Bulgarian desi (to find) and slava (glory) — meaning "glory-seeker" or "finder of glory." The historical Despotess Desislava (13th c.) is famous from the Bulgarian frescoes of Boyana Church.
Desislava is widely used in Bulgaria.
Desislava is a compound name. Its parts are slava — each an attested element with a recorded meaning of its own.
Desislava does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
In Pythagorean numerology the letters of Desislava reduce to 2, The Peacemaker. This is a traditional interpretive system, not a factual claim about the name.