Abstract In this paper we introduce the concept of “state dependent nonlocal condition” and study the existence and uniqueness of solution for a general class of abstract differential equations with… Click to show full abstract
Abstract In this paper we introduce the concept of “state dependent nonlocal condition” and study the existence and uniqueness of solution for a general class of abstract differential equations with state dependent delay subject to this class of conditions. In this type of problem the nonlocal condition can be dependent on times or time intervals determined by the (unknown) solution. Some examples on partial differential equations with state dependent delay arising in population dynamics are presented.
Keywords:
state;
equations state;
state dependent;
abstract differential;
dependent non;
differential equations
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2018
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2018
Link to full text (if available)
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recommendations!