Second order initial value problems with non-absolute integrals in ordered Banach spaces

作者：Heikkila S^*; Kumpulainen M

来源：Nonlinear Analysis-Theory Methods & Applications, 2011, 74(3): 901-908.

DOI：10.1016/j.na.2010.09.040

• HL integrability
• Ordered Banach space
• Regular order cone
• Initial value problem
• Implicit
• Singular
• Functional
• Discontinuous
• Nonlocal
• Solution
• Smallest
• Greatest

In this paper we derive the existence and comparison results for second order initial value problems in ordered Banach spaces. The considered problems can be implicit, singular, functional, discontinuous and nonlocal. The main tools are fixed point results in ordered spaces and the theory of locally HL integrable vector-valued functions.

• 出版日期2011-2-1