J. Nonl. Evol. Equ. Appl. 2019 (4), pp. 59-79, published on February 6, 2020:

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.

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