Approximate controllability for second order nonlinear evolution hemivariational inequalities

DOI10.14232/ejqtde.2015.1.100zbMath1349.93068OpenAlexW2400831626MaRDI QIDQ2803231

Xiuwen Li, Stanislaw Migórski, Zhen-Hai Liu

Publication date: 3 May 2016

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14232/ejqtde.2015.1.100

zbMATH Keywords

fixed pointhemivariational inequalityapproximate controllabilityClarke subdifferentialevolution inclusioncosine operator theory

Mathematics Subject Classification ID

Variational inequalities (49J40) Controllability (93B05) Nonsmooth analysis (49J52) PDEs with multivalued right-hand sides (35R70) Second-order nonlinear hyperbolic equations (35L70) Evolution inclusions (34G25)

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Approximate controllability of non-autonomous second-order evolution hemivariational inequalities with nonlocal conditions ⋮ Optimal control of non-instantaneous impulsive second-order stochastic McKean-Vlasov evolution system with Clarke subdifferential ⋮ An analysis on the optimal control results for second-order Sobolev-type delay differential inclusions of Clarke's subdifferential type ⋮ Results on approximate controllability of Sobolev type fractional stochastic evolution hemivariational inequalities ⋮ Second order evolutionary problems driven by mixed quasi-variational-hemivariational inequalities ⋮ On the approximate controllability of second-order evolution hemivariational inequalities ⋮ Weak solutions and optimal control of hemivariational evolutionary Navier-Stokes equations under Rauch condition ⋮ Approximate controllability for a class of second-order stochastic evolution inclusions of Clarke's subdifferential type ⋮ Second order nonlinear evolutionary systems driven by generalized mixed variational inequalities ⋮ Optimal control of second order stochastic evolution hemivariational inequalities with Poisson jumps ⋮ Existence and exact controllability of fractional evolution inclusions with damping

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