We study the existence of multiple positive solutions for a Neumann problem with singular φ-Laplacian

where λ is a positive parameter,φ(s)=(s)/√1-s²,f ∈ C¹([0,∞),R),f'(u)> 0 for u > 0,and for some 0 < β < θ such that f(u)< 0 for u ∈[0,β)(semipositone) and f(u)> 0 for u > β. Under some suitable assumptions,we obtain the existence of multiple positive solutions of the above problem by using the quadrature technique.Further,if f ∈ C²([0,β)∪(β,∞),R), f"(u) ≥ 0 for u ∈[0,β) and f"(u) ≤ 0 for u ∈(β,∞),then there exist exactly 2n+1 positive solutions for some interval of λ,which is dependent on n and θ.Moreover,We also give some examples to apply our results.