Zobrazeno 1 - 10
of 369
pro vyhledávání: '"Liouville's formula"'
Autor:
Gevorg A. Grigorian
Publikováno v:
Mathematica Bohemica, Vol 146, Iss 3, Pp 289-304 (2021)
The Riccati equation method is used to study the oscillatory and non-oscillatory behavior of solutions of linear four-dimensional Hamiltonian systems. One oscillatory and three non-oscillatory criteria are proved. Examples of the obtained results are
Externí odkaz:
https://doaj.org/article/da5d2c9aab87495aa304310c3e06ecbe
Autor:
Santiago Codesido, F. Adrián F. Tojo
Publikováno v:
Mathematics, Vol 9, Iss 8, p 866 (2021)
In this work, we derived an Abel–Jacobi–Liouville identity for the case of two-dimensional linear systems of ODEs (ordinary differential equations) with reflection. We also present a conjecture for the general case and an application to coupled h
Externí odkaz:
https://doaj.org/article/abd3ef3a53cb4098a431875263a7e384
Publikováno v:
Mathematics, Vol 7, Iss 10, p 962 (2019)
In this paper, the non-eigenvalue forms of Liouville’s formulas for delta, nabla and α -diamond matrix dynamic equations on time scales are given and proved. Meanwhile, a diamond matrix exponential function (or α -matrix exponential function) is
Externí odkaz:
https://doaj.org/article/c5ace58f1b244894af362fbb22a57b82
Akademický článek
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Riemann Liouville Fractional Integrals and Differential Formula Involving Multiindex Bessel Function
Autor:
D. L. Suthar, Temesgen Tsegaye
Publikováno v:
Mathematical Sciences Letters. 6:233-237
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3257a3470036796abd229699fd43941f
https://doi.org/10.18576/msl/060303
https://doi.org/10.18576/msl/060303
Autor:
S. E. Derkachev, L. D. Faddeev
Publikováno v:
Theoretical and Mathematical Physics. 192:1129-1133
We show that the reflection coefficients in the quantum theory of the Liouville model calculated in the bootstrap and Hamiltonian approaches differ from each other by a phase factor and simply yield different normalizations of vertex operators.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::36274ab382f098eab2d149d9c93463b5
https://doi.org/10.1134/s0040577917080037
https://doi.org/10.1134/s0040577917080037
Autor:
Xiaojun Liu
Publikováno v:
Annales Academiae Scientiarum Fennicae Mathematica. 42:723-733
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::da23d57b6a93cc0ed8343cadddbbb712
https://doi.org/10.5186/aasfm.2017.4243
https://doi.org/10.5186/aasfm.2017.4243
Publikováno v:
Formalized Mathematics, Vol 25, Iss 1, Pp 49-54 (2017)
Summary In this Mizar article, we complete the formalization of one of the items from Abad and Abad’s challenge list of “Top 100 Theorems” about Liouville numbers and the existence of transcendental numbers. It is item #18 from the “Formalizi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e4c3ae8b03db78f866e6b09b02472a83
https://doi.org/10.1515/forma-2017-0004
https://doi.org/10.1515/forma-2017-0004
Autor:
Adam Grabowski, Artur Korniłowicz
Publikováno v:
Formalized Mathematics, Vol 25, Iss 1, Pp 39-48 (2017)
Summary The article defines Liouville numbers, originally introduced by Joseph Liouville in 1844 [17] as an example of an object which can be approximated “quite closely” by a sequence of rational numbers. A real number x is a Liouville number if
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5591da876a4169625414909af0e0324c
https://doaj.org/article/a4c55d213d9c4104bc1c4f446ca48720
https://doaj.org/article/a4c55d213d9c4104bc1c4f446ca48720