Hadamard's theorem for mappings with relaxed smoothness conditions

The paper puts forward sufficient conditions for a mapping from Rn to Rn to be a global homeomorphism. As an application, the Hadamard theorem for differentiable mappings and conditions for the existence and uniqueness of a coincidence point of a covering mapping and a Lipschitz mapping on Rn are derived. Covering mappings of metric spaces and mappings covering at a point are studied. Bibliography: 23 titles. © 2019 Russian Academy of Sciences (DoM), London Mathematical Society, Turpion Ltd.

Авторы
Журнал
Издательство
Russian Academy of Sciences
Номер выпуска
2
Язык
Английский
Страницы
165-183
Статус
Опубликовано
Том
210
Год
2019
Организации
  • 1 Moscow Institute of Physics and Technology, State University, Dolgoprudny, Russian Federation
  • 2 Lomonosov Moscow State University, Moscow, Russian Federation
  • 3 Institute for Information Transmission Problems of the Russian Academy of Sciences, Kharkevich Institute, Moscow, Russian Federation
  • 4 V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russian Federation
  • 5 RUDN University, Moscow, Russian Federation
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Wachter R., Senni M., Belohlavek J., Straburzynska-Migaj E., Witte K.K., Kobalava Z., Fonseca C., Goncalvesova E., Cavusoglu Y., Fernandez A., Chaaban S., Bøhmer E., Pouleur A.-C., Mueller C., Tribouilloy C., Lonn E., Gniot J., Mozheiko M., Lelonek M., Noè A., Schwende H., Bao W., Butylin D., Pascual-Figal D., Gniot J., Mozheiko M., Lelonek M., Kobalava Z., Cavusoglu Y., Straburzynska-Migaj E., Senni M., Chaaban S., Belohlavek J., Fonseca C., Lonn E., Pouleur A.-C., Tribouilloy C., Goncalvesova E., Wachter R., A.L. Buraiki J., Dominguez A.R., Horacek T., Del Rio E.G., Mueller C.E., Slanina M., Vom Dahl J., Ryding A., Moriarty A., Robles M.B., Villota J.N., Quintana A.G., Nitschke T., Manuel Garcia Pinilla J., Bonet L.A., Filali Zaatari S., Spinar J., Musial W., Abdelbaki K., Fehske W., Bott M.C., Hoegalmen G., Leiro M.C., Ozcan I.T., Mullens W., Kryza R., Al-Ani R., Loboz-Grudzien K., Ermoshkina L., Hojerova S., Fernandez A.A., Spinarova L., Lapp H., Bulut E., Almeida F., Vishnevsky A., Belicova M., Pascual D., Witte K., Wong K., Droogne W., Delforge M., Peterka M., Olbrich H.-G., Carugo S., Nessler J., McGill T.H., Huegl B., Akin I., Moreira I., Baglikov A., Thambyrajah J., Hayes C., Barrionuevo M.R., Yigit Z., Kaya H., Klimsa Z., Radvan M., Kadel C., Landmesser U., Di Tano G., Lisik M.B., Oliveira L., Marques I., Santos L.M., Lenner E., Letavay P., Bueno M.G., Mota P., Wong A., Bailey K., Foley P., Hasbani E., Virani S., Massih T.A., Al-Saif S., Taborsky M., Kaislerova M., Motovska Z., Praha, Logeart D., Endemann D., Ferreira D., Brito D., Kycina P., Bollano E., Basilio E.G., Rubio L.F., Aguado M.G., Schiavi L.B., Zivano D.F., Sayed A.E., Heyse A., Schee A., Polasek R., Houra M., Seronde M.F., Galinier M., Noutsias M., Schwimmbeck P., Voigt I., Westermann D., Pulignano G., Vegsundvaag J., Alexandre Da Silva Antunes J., Monteiro P., Stevlik J., Hulkoova B., Juan Castro Fernandez A., Davies C., Squire I., Meyer P., Sheppard R., Sahin T., Sochor K., De Geeter G., Schmeisser A., Weil J., Soares A.O., Vasilevna O.B., Oshurkov A., Sunderland S.J., Glover J., Exequiel T., Decoulx E., Meyer S., Muenzel T., Frioes F., Arbolishvili G., Tokarcikova A., Karlstrom P., Carles Trullas Vila J., Perez G.P., Sankaranarayanan R., Nageh T., Alasia D.C., Refaat M., Demirkan B., Al-Buraiki J., Karabsheh S., On Behalf of the TRANSITION Investigators
Европейский журнал сердечной недостаточности. Elsevier Science Publishing Company, Inc.. 2019.