Siebzehnte internationale Tagung über Funktionalgleichungen in Oberwolfach vom 17.6. Bis 23.6.1979.
Existence and uniqueness conditions for solving singular initial and two-point boundary value problems for discrete generalized Lyapunov matrix equations and explicit expressions of solutions are given.
We show that three problems involving linear difference equations with rational function coefficients are essentially equivalent. The first problem is the generalization of the classical Skolem–Mahler–Lech theorem to rational function coefficients. The second problem is whether or not for a given linear difference equation there exists a Picard–Vessiot extension inside the ring of sequences. The third problem is a certain special case of the dynamical Mordell–Lang conjecture. This allows us to deduce...
Some functional equations involving means of associative functions are investigated.
We prove that two archimedean t-norms with equal diagonal sections and zero-sets must be identical.