Difference equations: disconjugacy, principal solutions, Green’s functions, complete monotonicity
Difference equations: disconjugacy, principal solutions, Green’s functions, complete monotonicity
We find analogues of known results on <italic>n</italic>th order linear differential equations for <italic>n</italic>th order linear difference equations. These include the concept of disconjugacy, Pólya’s criterion for disconjugacy, Frobenius factorizations, generalized Sturm theorems, existence and properties of principal solutions, signs of Green’s functions, and completely monotone families of solutions of …