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math.AP2010
Non-local PDEs with discrete state-dependent delays: well-posedness in a metric space
Alexander V. Rezounenko, Petr Zagalak
Partial differential equations with discrete (concentrated) state-dependent delays are studied. The existence and uniqueness of solutions with initial data from a wider linear spac…
math.AP2010
Non-local PDEs with a state-dependent delay term presented by Stieltjes integral
Alexander Rezounenko
Parabolic partial differential equations with state-dependent delays (SDDs) are investigated. The delay term presented by Stieltjes integral simultaneously includes discrete and di…