Existence result for a semilinear parametric problem with Grushin type operator.
Existence of solutions for a nonlinear degenerate elliptic system.
Existence and continuity of global attractors for a degenerate semilinear parabolic equation.
Asymptotic behavior of solutions to a class of differential variational inequalities
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.
Global attractor for a semilinear parabolic equation involving Grushin operator.
An abstract Cauchy problem for higher order functional differential inclusions with infinite delay
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.
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