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Limit cycle's uniqueness for second order O.D.E.'s polynomial in $\dot x$
Limit cycle's uniqueness O.D.E.'s polynomial
2010/11/12
We prove a uniqueness result for limit cycles of the second order ODE $\ddot x + \sum_{j=1}^{J}f_{j}(x)\dot x^{j} + g(x) = 0$. We extend a uniqueness result proved in \cite{CRV}. The main tool applied...
It is known that a bounded solution of the heat equation in a half-space which becomes zero at some time must be identically zero, even though no assumptions are made on the boundary values of the so...
Uniqueness of Primary Decompositions
Primary decomposition normal decomposition prime ideal Left Noetherian ring PI ring
2010/3/1
Uniqueness properties of primary decompositions in modules over non-commutative rings are presented.