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Let p be a prime, P a finite p-group and F a Frobenius P-category. The question on the existence of a suitable category L^sc extending the full subcategory of F over the set of F-selfcentralizing subg...
We settle the problem of the uniqueness of normalized homeomorphic solutions to nonlinear Beltrami equations @f(z) = H(z, @f(z)). It turns out that the uniqueness holds under definite and explicit bou...
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...
In this paper we establish the existence and uniqueness of solutions for nonlinear evolution equations on Banach space with locally monotone operators, which is a generalization of the classical resu...
We prove uniqueness of ground state solutions Q = Q(|x|) > 0 for the nonlinear equation (−)sQ + Q − Q +1 = 0 in R,where 0 < s < 1 and 0 < < 4s 1−2s for s < 1/2 and 0 < < 1 for s...
In this paper, we investigate the uniqueness of the phase retrieval problem for the fractional Fourier transform (FrFT) of variable order. This problem occurs naturally in optics and quantum physics. ...
We prove that the kernels of Fourier–Mukai functors are not unique in general. On the other hand we show that the cohomology sheaves of those kernels are unique. We also discuss several properties of ...
Uniqueness properties of primary decompositions in modules over non-commutative rings are presented.

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