Existence and multiplicity of solutions for three-point boundary value problems with instantaneous and noninstantaneous impulses

Abstract

Abstract In this paper, three-point boundary value problems for second-order p-Laplacian differential equations with instantaneous and noninstantaneous impulses are studied. The existence of at least one classical solution and infinitely many classical solutions is obtained by using variational methods and critical point theory. In addition, some examples are given to illustrate our main results.

Keywords

• Three-point BVPs
• Variational methods
• Critical point theory
• Instantaneous impulse
• Noninstantaneous impulse