×

zbMATH — the first resource for mathematics

Green’s matrices and positive solutions of a discrete boundary value problem. (English) Zbl 0839.39002
Two theorems related to the existence of positive solutions of the boundary value problem \[ - \Delta \bigl[ P(t - 1) \Delta y(t - 1) \bigr] = f \bigl( t,y(t) \bigr) \] are proved. In particular when \(f(t,y(t)) = 0\) it is shown that the above problem has only the trivial solution and the corresponding Green’s function exists.

MSC:
39A10 Additive difference equations
39A12 Discrete version of topics in analysis
PDF BibTeX XML Cite