Temat: linear operator - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On the twisted Dorfman-Courant like brackets
Autorzy:: Mikulski, Włodzimierz M.
Powiązania:: https://bibliotekanauki.pl/articles/1397340.pdf
Data publikacji:: 2021
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: natural operator
linear vector field
linear form
(twisted) Dorfman-Courant bracket
Jacobi identity in Leibniz form
Opis:: There are completely described all [formula]-gauge-natural operators C which, like to the Dorfman-Courant bracket, send closed linear 3-forms [formula]on a smooth (C ∞) vector bundle E into R-bilinear operators [formula] transforming pairs of linear sections of [formula] into linear sections of [formula]. Then all such C which also, like to the twisted Dorfman-Courant bracket, satisfy both some “restricted” condition and the Jacobi identity in Leibniz form are extracted.
Źródło:: Opuscula Mathematica; 2020, 40, 6; 703-723
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Growth of solutions of a class of linear fractional differential equations with polynomial coefficients
Autorzy:: Hamouda, Saada
Mahmoudi, Sofiane
Powiązania:: https://bibliotekanauki.pl/articles/2216191.pdf
Data publikacji:: 2022
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: linear fractional differential equations
growth of solutions
Caputo fractional derivative operator
Opis:: This paper is devoted to the study of the growth of solutions of certain class of linear fractional differential equations with polynomial coefficients involving the Caputo fractional derivatives by using the generalized Wiman–Valiron theorem in the fractional calculus.
Źródło:: Opuscula Mathematica; 2022, 42, 3; 415-426
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: On the gauge-natural operators similar to the twisted Dorfman-Courant bracket
Autorzy:: Mikulski, Włodzimierz M.
Powiązania:: https://bibliotekanauki.pl/articles/2050976.pdf
Data publikacji:: 2021
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: natural operator
linear vector field
linear form
twisted Dorfman-Courant bracket
the Jacobi identity in Leibniz form
Opis:: All $\mathcal{VB}_{m,n}$-gauge-natural operators $C$ sending linear 3-forms $H \in \Gamma_{E}^{l}(\wedge^{3}T*E)$ on a smooth $\mathcal{C}^{\infty}$ vector bundle $E$ into $\mathbf{R}$-bilinear operators $$C_{H} : \Gamma_{E}^{l}(TE \oplus T* E) \times \Gamma_{E}^{l}(TE \oplus T* E) \rightarrow \Gamma_{E}^{l} (TE \oplus T* E)$$ transforming pairs of linear sections of $(TE \oplus T* E) \rightarrow E$ into linear sections of $(TE \oplus T* E) \rightarrow E$ are completely described. The complete descriptions is given of all generalized twisted Dorfman-Courant brackets C (i.e. C as above such that $C_{0}$ is the Dorfman-Courant bracket) satisfying the Jacobi identity for closed linear 3-forms $H$ . An interesting natural characterization of the (usual) twisted Dorfman-Courant bracket is presented.
Źródło:: Opuscula Mathematica; 2021, 41, 2; 205-226
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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