Solvability and stability of von Karman model without rotational inertia with nonlinear forces期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Solvability and stability of von Karman model without rotational inertia with nonlinear forces

Institution:	1. University of Computer Sciences and Skills, Rzgowska 17a, 93-008 Lodz, Poland;2. Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, 90-238 Lodz, Poland;1. Department of Mathematics, Sun Yat-sen University, Guangzhou, 510275, China;2. Faculty of Information Technology, Macau University of Science and Technology, Macau, China;1. Fakultät für Mathematik, Universität Wien, Austria;2. Institute for Information Transmission Problems, RAS, Russian Federation;1. Dipartimento Politecnico di Ingegneria e Architettura, Università degli Studi di Udine, via Cotonificio 114, 33100 Udine, Italy;2. Dipartimento di Matematica e Geoscienze, Università degli Studi di Trieste, via Valerio 12/1, 34127 Trieste, Italy;3. Dipartimento di Matematica e Informatica “Ulisse Dini”, Università degli Studi di Firenze, Viale Morgagni 67/a, 50134 Firenze, Italy;1. Departamento de Ciências Exatas e da Terra, Universidade Federal de São Paulo, 09913-030 Diadema, SP, Brazil;2. Departamento de Matemática, Universidade Federal da Paraíba, 58051-900 João Pessoa, PB, Brazil

Abstract:	We investigate the nonlinear oscillations of plates described by von Karman evolution equations with mixed–hinged/simply supported nonlinear boundary conditions. The von Karman evolution system is of “hyperbolic type” with nonlinear transverse and boundary forces. We prove the existence of global solution (on given interval) constructing new variational approach to that system. We do not prove the Hadamard well-posedness, however a kind of new dependence of solutions on initial data is considered.

Keywords:	von Karman evolution equations Nonlinear oscillations of plates Simply supported nonlinear boundary conditions Variational approach
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