| Abstract: |
| the existence of a mild solution to the Cauchy problem for impulsive semilinear
second-order differential inclusion in a Banach space is investigated in the case when the
nonlinear term also depends on the first derivative. This purpose is achieved by combining the
Kakutani fixed point theorem with the approximation solvability method and the weak topology.
This combination enables obtaining the result under easily verifiable and not restrictive conditions on
the impulsive terms, the cosine family generated by the linear operator and the right-hand side while
avoiding any requirement for compactness. The talk concludes with an application to evolution problems. |
|