Using a varational method, we prove an existence result depending on a parameter, for a semilinear system in potential form with Grushin type operator.

and Applied Analysis 3 refer the reader to 11â€“13 . In order to represent the mild solutions via the variation of constants formula for this case, the notion of so-called resolvent for theâ€¦ (More)

We study the control systems governed by abstract Volterra equations without uniqueness in a Banach space. By using the technique of the theory of condensing maps and multivalued analysis tools, weâ€¦ (More)

We obtain the existence and uniqueness of solutions for a class of retarded parabolic equations with superlinear perturbations. The asymptotic behavior result is studied by using the pullbackâ€¦ (More)

Our aim is to study a generalized Cauchy problem involving a class of degenerate fractional differential equations in Banach spaces. The existence and stability results are obtained by using theâ€¦ (More)

We study the existence and stability of solutions for a class of nonlinear functional evolution inclusions involving accretive operators. Our approach is employing the fixed point theory forâ€¦ (More)

We analyze the existence of pullback attractor for non-autonomous differential inclusions with infinite delays in Banach spaces by using measures of noncompactness. The obtained results can beâ€¦ (More)

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 toâ€¦ (More)