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

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 \(M>0\), our main results improve many previous results.