Necessary and Sufficient Conditions for the Lipschitzian Invertibility of the Nonlinear Differential Mapping $d/dt-f$ in the Spaces $L_p({\mathbb R},{\mathbb R})$, $1\le p\le\infty$

V. E. Slyusarchuk

Geodesic

Parcourir par

Necessary and Sufficient Conditions for the Lipschitzian Invertibility of the Nonlinear Differential Mapping $d/dt-f$ in the Spaces $L_p({\mathbb R},{\mathbb R})$, $1\le p\le\infty$

V. E. Slyusarchuk

Matematičeskie zametki, Tome 73 (2003) no. 6, pp. 891-903

Voir la notice de l'article provenant de la source Math-Net.Ru

Résumé

We obtain necessary and sufficient conditions for the Lipschitzian invertibility of the differential mapping $d/dt-f$, where $f\colon{\mathbb R}\to{\mathbb R}$ is a continuous mapping, in the spaces $L_p({\mathbb R},{\mathbb R})$, $1\le p\le\infty$.

Export
Comment citer

@article{MZM_2003_73_6_a10,
     author = {V. E. Slyusarchuk},
     title = {Necessary and {Sufficient} {Conditions} for the {Lipschitzian} {Invertibility} of the {Nonlinear} {Differential} {Mapping} $d/dt-f$ in the {Spaces} $L_p({\mathbb R},{\mathbb R})$, $1\le p\le\infty$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {891--903},
     publisher = {mathdoc},
     volume = {73},
     number = {6},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2003_73_6_a10/}
}

TY  - JOUR
AU  - V. E. Slyusarchuk
TI  - Necessary and Sufficient Conditions for the Lipschitzian Invertibility of the Nonlinear Differential Mapping $d/dt-f$ in the Spaces $L_p({\mathbb R},{\mathbb R})$, $1\le p\le\infty$
JO  - Matematičeskie zametki
PY  - 2003
SP  - 891
EP  - 903
VL  - 73
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2003_73_6_a10/
LA  - ru
ID  - MZM_2003_73_6_a10
ER  -

%0 Journal Article
%A V. E. Slyusarchuk
%T Necessary and Sufficient Conditions for the Lipschitzian Invertibility of the Nonlinear Differential Mapping $d/dt-f$ in the Spaces $L_p({\mathbb R},{\mathbb R})$, $1\le p\le\infty$
%J Matematičeskie zametki
%D 2003
%P 891-903
%V 73
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2003_73_6_a10/
%G ru
%F MZM_2003_73_6_a10

V. E. Slyusarchuk. Necessary and Sufficient Conditions for the Lipschitzian Invertibility of the Nonlinear Differential Mapping $d/dt-f$ in the Spaces $L_p({\mathbb R},{\mathbb R})$, $1\le p\le\infty$. Matematičeskie zametki, Tome 73 (2003) no. 6, pp. 891-903. http://geodesic.mathdoc.fr/item/MZM_2003_73_6_a10/