On Oleck-Opial-Beesack-Troy integro-differential inequalities
We obtain necessary and sufficient conditions for the integro-differential inequality $$ int_a^bdot x^2(t),dtgeqgammaint_a^bq(t),|dot x(t)x(t)|,dt $$ to be valid with one of the three boundary conditions: $x(a)=0$, or $x(a)=0$, or $x(a)=x(b)=0$. For a power functions $q$, the best constants $gamma$...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2004-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2004/04/abstr.html |