For a second-order inhomogeneous differential equation defined on the real axis and such that its right-hand side and solutions are functions in a Hilbert space, it is shown that the existence of a generalized Fourier transform of the solution is a correct radiation condition if the right-hand...
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The study derives empirical cumulative distribution functions based on the binary existence of the LOS or reflected paths. Some interesting remarks were made, partly with respect to the LOS probabilities of the 3GPP model [36.15]. Firstly, the ground reflection does not always follow the LOS path...
Resultants of matrix polynomials The problem of common divisors of regular matrix polynomials A(x), B(x) is studied and a necessary as well as a sufficient condition for the existence of a common linear unitary divisor of these polynomials is stated and proved. With the... IC Gohberg,LE Le...
A sufficient condition is obtained for the existence of a globally asymptotically stable positive almost periodic solution of a discrete logistic equation... M Sannay,G Kondalsamy - 《東北數學雜誌. second series》 被引量: 27发表: 2000年 Beurling Algebras and the Generalized Fourier Transform A ne...
Question regarding GR and the "cylinder condition" Im reading that in Kaluza-Klein theory, the derivatives (of the metric g_{\mu\nu} with respect to the 5th dimension, X^4 , were chosen to be zero, to explain why we do not "feel", or detect, the existence of X^4 i.e. the Cyl...
Given an operator, H, which is somehow like H0 = −1/2Δ at spatial infinity, the two fundamental “foundational” questions of scattering theory are the existence of the wave operators Ω±(H,H0)=s-limt→∓∞eitHe−itH0 and their completeness RanΩ±(H,H0)=RanPac(H) where ...
This can be attributed to the homogeneous dispersion of GO sheets within PES matrix and the strong interfacial interaction between them, as well as the existence of uniform PES transfer film on the frictional interface. POLYM. COMPOS., 39:2320–2335, 2018. 2016 Society of Plastics Engineersdoi:...
Uniqueness and properties of distributional solutions of nonlocal equations of porous medium type We study the uniqueness, existence, and properties of bounded distributional solutions of the initial value problem for the anomalous diffusion equationtuL... Jrgen Endal,ER Jakobsen,FD Teso - 《Advances ...