The existence and uniqueness of the solution for uncertain functional differential equations

Theory of Approximation and Applications

مقاله 3، دوره 14، شماره 2، اسفند 2020، صفحه 35-46   

نوع مقاله: Research Articles

نویسندگان

Nazanin Ahmadi^* ؛ Samira Siahmansouri

University of Applied Science and Technology, Center of Poolad Peechkar, Varamin, Iran

چکیده

The uncertain functional differential equations are an
important tool to deal with dynamic systems including the
past states in uncertain environments. The contribution of
this paper to the uncertain functional differential equation
theory is to provide an existence and uniqueness theorem
under the weak Lipschitz condition and the linear growth
condition.

کلیدواژه‌ها

Uncertain Functional differential equation؛ Canonical process؛ Uncertainty space condition