Exact(1)
Australia has a unique means of remembering recipients of the Victoria Cross.
Similar(58)
"I had a unique, mean-spirited sense of humor, a little bit sarcastic," he said.
To build a model of individuals nested within multiple geographic areas, we allow each area to have
If the conditions (H1 - H4) are satisfied, then the problem (1.1) has a unique square-mean almost automorphic mild solution provided that.
Recent progress in controlled radical polymerizations, in particular atom transfer radical polymerization (ATRP), has provided a unique means for the design and synthesis of bioactive surfaces and functional biomaterials.
It works with iOS, Android and even desktop PCs, and has a unique design that means it'll fit your phone perfectly — no matter what phone you have.
For (tin J_{n}) ((n=M+1, M+2, ldots, N)), Problem IV has a unique solution by means of the same technique as the proof of Theorem 3.1 in [1] or the analogous method in [3].
EXAFS studies on polymer electrolyte systems have provided a unique means of addressing local structure-conductivity relationships.
Thus has a unique fixed point, this means that is a mild solution of (1.3).
Observe that, for arbitrary (u,vin mathcal {C}(I)), (w:=max {u,v}in mathcal {C}(I)) is comparable to both u and v. Therefore, by Theorem, 3.4, (mathcal {X}) has a unique fixed point which means that problem (4.1) has a unique solution.
end{aligned} Consequently, we get Vert {mathfrak{S}}y_{1}-{mathfrak{S}}y_{2}Vert _{[1-r,e+h]}leqfrac{2L}{Gamma (alpha+1)}Vert y_{1}-y_{2} Vert _{[1-r,e+h]}, which implies that ({mathfrak{S}}) is a contraction by the given assumption, and hence ({mathfrak{S}}) has a unique fixed point by means of the Banach contraction mapping principle.
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