Two solutions to Kirchhoff-type fourth-order implusive elastic beam equations

Abstract

Abstract In this paper, the existence of two solutions for superlinear fourth-order impulsive elastic beam equations is obtained. We get two theorems via variational methods and corresponding two-critical-point theorems. Combining with the Newton-iterative method, an example is presented to illustrate the value of the obtained theorems.

Keywords

• Two solutions
• Elastic beam equations
• Variational method
• Impulsive effects