Abstract Volterra equations in locally convex spaces

作者：Kostic Marko^*

来源：Science China Mathematics, 2012, 55(9): 1797-1825.

DOI：10.1007/s11425-012-4477-9

• abstract Volterra equation
• locally convex space
• (a, k)-regularized C-resolvent family
• well-posedness

A general class of (a, k)-regularized C-resolvent families is one of efficient research tools for dealing with non-degenerate abstract Volterra equations of scalar type. The main purpose of this expository paper is to provide a detailed analysis of the above class in sequentially complete locally convex spaces.

• 出版日期2012-9