Problems without Initial Conditions for Nonlinear Evolution Inclusions with Variable Time-delay
M. Bokalo, O. Ilnytska
Ivan Franko National University of Lviv; 79000, Lviv, Ukraine
Received on June 6, 2017
Accepted on April 13, 2018
Communicated by Khalil Ezzinbi
| Abstract. The well-posedness of problems without initial conditions for nonlinear parabolic variational inequalities with variable time-delay is proved. The estimates of weak solutions are obtained. | |
| Keywords: | equation with delay; problem without initial condition; evolution inclusion. |
| 2010 Mathematics Subject Classification: 26D10, 49J40, 47J20, 47J22. | |