Infinitely many singularities and denumerably many positive solutions for a second-order impulsive Neumann boundary value problem

Abstract

Abstract Using a fixed point theorem of cone expansion and compression of norm type and a new method to deal with the impulsive term, we prove that the second-order singular impulsive Neumann boundary value problem has denumerably many positive solutions. Noticing that M > 0 $M>0$ , our main results improve many previous results.

Keywords

• denumerably many positive solutions
• infinitely many singularities
• Neumann impulsive boundary conditions
• cone expansion and compression