Well-posedness results for differential and integral equations containing Henstock-Kurzweil integrable vector-valued functions

作者：Heikkila S^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2011, 74(18): 7395-7403.

DOI：10.1016/j.na.2011.07.057

• Henstock-Kurzweil integral
• Banach space
• Fixed point
• Integral equation
• Cauchy problem
• Solution
• Unique
• Mild

In this paper, we prove existence, uniqueness and comparison results for solutions of differential and integral equations in Banach spaces containing Henstock-Kurzweil integrable functions from a compact real interval to an ordered Banach space.

• 出版日期2011-12