Evgeniy I. Bravyi & Sergey S. Gusarenko
We obtain necessary and sufficient conditions for the integro-differential inequality
to be valid with one of the three boundary conditions: , or , or . For a power functions , the best constants are found.
Submitted October 27, 2003. Published January 2, 2004.
Math Subject Classifications: 34K10, 34B30, 34B05, 41A44, 49J40, 58E35.
Key Words: Integral inequalities, integro-differential inequalities, functional differential equations, variational problems.
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| Evgeniy I. Bravyi |
Research Centre "Functional Differential Equations"
Perm State Technical University, Perm 614099, Russia
| Sergey S. Gusarenko |
Department of Mathematical Analysis
Perm State University, Perm 614099, Russia
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