Nonlinear boundary value conditions and ordinary differential systems with impulsive effects

Abstract

Abstract We investigate solutions to nonlinear operator equations which are difficult to investigate with variational methods and obtain some abstract existence results by topology degree methods. These results apply to ordinary differential systems with impulsive effects satisfying nonlinear boundary value conditions, and we obtain some new results.

Keywords

• nonlinear boundary value conditions
• ordinary differential systems with impulsive effects
• topology degree methods
• operator equations
• index theory