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This paper is devoted to investigating the eigenvalue problems of a class of nonlinear impulsive singular boundary value problem in Banach spaces: μx′′+f(t,x)=0,t∈(0,1),t≠ti;  Δx|t=ti=αix(ti-0),i=1,2,…,k;ax(0)-bx′(0)=θ;cx(1)+dx′(1)=θ, where θ denotes the zero element of Banach space, Δx|t=ti=x(ti+0)-x(ti-0), αi>-1, a,b,c,d∈R+,γ=ac+ad+bc>0, μ is a parameter, and f(t,x) may be singular at t=0,1 and x=θ. The arguments are mainly based upon the theory of fixed point index, measure of noncompactness, and the special cone, which is constructed to overcome the singularity

Eigenvalues of a Class of Singular Boundary Value Problems of Impulsive Differential Equations in Banach Spaces