An Existence Result for Impulsive Multi-point Boundary Value Systems Using a Local Minimization Principle

作者：Afrouzi Ghasem A; Bohner Martin^*; Caristi Giuseppe; Heidarkhani Shapour; Moradi Shahin

来源：Journal of Optimization Theory and Applications, 2018, 177(1): 1-20.

DOI：10.1007/s10957-018-1253-1

• Existence result
• Multi-point boundary value problems
• Minimization principle
• Classical solution
• Impulsive effects
• Critical point theory
• Variational methods

In this article, multi-point boundary value systems with impulsive effects are considered. Existence of at least one classical solution is investigated. The basis of the approach is an application of certain variational methods for smooth functionals, which are defined on reflexive Banach spaces. Examples are provided in order to illustrate how the presented results can be applied.

• 出版日期2018-4