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Asymptotic behavior of solutions to a class of differential variational inequalities

100%

Anh N., Ke T.

Annales Polonici Mathematici

2015

tom 114

nr 2

147-164

We address some questions concerning a class of differential variational inequalities with finite delays. The existence of exponential decay solutions and a global attractor for the associated multivalued semiflow is proved.

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An abstract Cauchy problem for higher order functional differential inclusions with infinite delay

81%

Ke T., Obukhovskii V., Wong N.-C., Yao J.-C.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2011

tom 31

nr 2

199-229

The existence results for an abstract Cauchy problem involving a higher order differential inclusion with infinite delay in a Banach space are obtained. We use the concept of the existence family to express the mild solutions and impose the suitable conditions on the nonlinearity via the measure of noncompactness in order to apply the theory of condensing multimaps for the demonstration of our results. An application to some classes of partial differential equations is given.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2 Ke T.

1 Anh N.

1 Obukhovskii V.

1 Wong N.-C.

1 Yao J.-C.

1 2015

1 2011

Wyniki wyszukiwania

Asymptotic behavior of solutions to a class of differential variational inequalities

An abstract Cauchy problem for higher order functional differential inclusions with infinite delay