We establish new efficient conditions sufficient for the unique solvability of the Cauchy problem for two-dimensional systems of linear functional differential equations with monotone operators.

We prove local unique solvability of the wave equation for a large class of weakly singular, locally bounded space-time metrics in a suitable space of generalised functions.

The Cauchy problem for 1-dimensional nonlinear stochastic partial differential equations is studied. The uniqueness and existence of solutions in Hp(T )-space are proved. 1991 Mathematics Subject Classification. 60H15, 35R60.

We establish the unique solvability of a coupling problem for entire functions which arises in inverse spectral theory for singular second order ordinary differential equations/two-dimensional first order systems and is also of relevance for the integration of certain nonlinear wave equations. Results Let σ be a discrete set of nonzero reals such that the sum ∑

Phylogenetic relationships among taxa have usually been represented by rooted trees in which the leaves correspond to extant taxa and interior vertices correspond to extinct ancestral taxa. Recently, more general graphs than trees have been investigated in order to be able to represent hybridization, lateral gene transfer, and recombination events. A model is presented in which the genome at a ...