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Fuzzy and fractional analysis of cancer tumor dynamics with depression effects on chemotherapy. [PDF]
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Uniform Boundedness by Averaging
Acta Mathematica Hungarica, 2001The authors study a system of functional-differential equations with infinite delay. By using Lyapunov functionals, conditions are given for uniform boundedness and uniform ultimate boundedness. The results are based on the method of finding a bound on the averaged values of the unknown solutions and the application of Jensen's inequality. A comparison
Burton, T. A., Zhang, B.
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1974
Boundedness is a useful and natural condition, but it is a very strong condition on a linear transformation. The condition has a profound effect throughout operator theory, from its mildest algebraic aspects to its most complicated topological ones.
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Boundedness is a useful and natural condition, but it is a very strong condition on a linear transformation. The condition has a profound effect throughout operator theory, from its mildest algebraic aspects to its most complicated topological ones.
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Boundedness of Synchronverters
2015 European Control Conference (ECC), 2015Synchronverters are grid-friendly inverters that mimic the operation of conventional synchronous generators. In this paper, the non-linear stability of the synchronverter in the sense of boundedness is investigated and proven for the first time. To this end, initially, the complete non-linear model of the synchronverter is obtained and then the field ...
Qing-Chang Zhong +3 more
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Boundedness of Hankel Matrices
Journal of the London Mathematical Society, 1984Let \((a_{i+j})_{i,j\geq 0}\) be a Hankel matrix with complex elements satisfying the condition \(\sum^{\infty}_{n=0}| a_ n ...
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2022
This chapter traces the troubled fate of a particular cognitive metaphor—the mind as a container for textual mental states—in American literary history. The novels that Charles Brockden Brown wrote in 1798–99 obsessively return to a curious scenario: a chest or box is supposed to hold important papers—usually letters or diaries—but either turns out to ...
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This chapter traces the troubled fate of a particular cognitive metaphor—the mind as a container for textual mental states—in American literary history. The novels that Charles Brockden Brown wrote in 1798–99 obsessively return to a curious scenario: a chest or box is supposed to hold important papers—usually letters or diaries—but either turns out to ...
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On Metric Boundedness Structures
Set-Valued Analysis, 1999In [J. Math. Pures Appl., IX. Sér. 28, 287-320 (1949; Zbl 0041.31602)] \textit{S.-T. Hu} characterized, given a metrizable space \(X\), those families \(\mathcal S\) of subsets of \(X\) for which a compatible metric \(d\) on \(X\) can be found such that \(\mathcal S\) consists of exactly the \(d\)-bounded subsets of \(X\) --- they are the proper ideals
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1996
In this chapter we study to what extent the exponential type of certain orbits of a C0—semigroup is determined by boundedness properties of the resolvent in a given right half-plane. The prototype of such results has already been proved in Section 2.2, where we showed that ω0(T) = s0(A) for C0—semigroups on Hilbert spaces.
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In this chapter we study to what extent the exponential type of certain orbits of a C0—semigroup is determined by boundedness properties of the resolvent in a given right half-plane. The prototype of such results has already been proved in Section 2.2, where we showed that ω0(T) = s0(A) for C0—semigroups on Hilbert spaces.
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1995
This section continues Section 14 from the standpoint of methods of investigation involved. The technique developed in Section 14 will be now applied to studying the regularity of sample functions of Gaussian random functions. Since our main interest here is with the properties of random functions defined on an arbitrary parametric set, we shall ...
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This section continues Section 14 from the standpoint of methods of investigation involved. The technique developed in Section 14 will be now applied to studying the regularity of sample functions of Gaussian random functions. Since our main interest here is with the properties of random functions defined on an arbitrary parametric set, we shall ...
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