Adiabatic invariants for disturbed fractional Hamiltonian system in terms of Herglotz differential variational principle
Sign Up to like & getrecommendations! Published in 2020 at "Acta Mechanica"
DOI: 10.1007/s00707-020-02796-3
Abstract: Based on the differential variational principle of Herglotz type, we reveal the internal relation between the perturbation and the adiabatic invariants for fractional Hamiltonian system with combined Caputo derivatives. First, based on the Herglotz variational… read more here.
Keywords: system; variational principle; adiabatic invariants; fractional hamiltonian ... See more keywords
A Class of Delay Differential Variational Inequalities
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DOI: 10.1007/s10957-016-1002-2
Abstract: In the paper, we introduce a class of delay differential variational inequalities consisting of a system of delay differential equations and variational inequalities. The existence conclusion of Carathéodory’s weak solution for delay differential variational equalities… read more here.
Keywords: differential variational; variational inequalities; class delay; delay differential ... See more keywords
The Convergence Results of Differential Variational Inequality Problems
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DOI: 10.3390/sym14040760
Abstract: In this work, we suggest a differential variational inequality in reflexive Banach spaces and construct a sequence with a set of constraints and a penalty parameter. We use the penalty method to prove a unique… read more here.
Keywords: results differential; differential variational; convergence results; variational inequality ... See more keywords
History-dependent differential variational-hemivariational inequalities with applications to contact mechanics
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DOI: 10.3934/eect.2020044
Abstract: The primary objective of this paper is to explore a complicated differential variational-hemivariational inequality involving a history-dependent operator in Banach spaces. A well-posedness result for the inequality, including the existence, uniqueness, and continuous dependence on… read more here.
Keywords: history dependent; variational hemivariational; dependent differential; differential variational ... See more keywords