Nagumo type existence results of Sturm-Liouville BVP for impulsive differential equations

作者：Liang, Ruixi^*; Liu, Zaiming

来源：Nonlinear Analysis-Theory Methods & Applications, 2011, 74(17): 6676-6685.

DOI：10.1016/j.na.2011.06.047

• Impulse
• Upper and lower solutions
• Boundary value problem
• Nagumo condition

In this paper, the method of upper and lower solutions and the Schauder degree theory are employed in the study of Sturm-Liouville boundary value problems for second order impulsive differential equations. We obtain the existence of at least three solutions to the problem under the assumption that the nonlinear term f satisfies a Nagumo condition with respect to the first order derivative.

• 出版日期2011-12
• 单位中南大学