The sufficient conditions for unique local solvability, global solvability and of well-posedness of initial-boundary value problems for higher order nonlinear hyperbolic equations are studied.

We consider discrete-time linear periodic descriptor systems and study the concepts of solvability and conditionability introduced by D. Luenberger. We prove that solvability is equivalent to conditionability, just as in the time-invariant case. We give a characterization of solvability/conditionability in terms of a cyclic matrix pencil and, furthermore, propose a simple test via the periodic ...

In this paper, we consider dynamical models and we study the preservation of solvability for the Disturbance Rejection by Measurement Feedback (DRMF) problem under sensor failure in a structural framework. We consider a linear structured system and we wonder if the DRMF problem remains solvable in case of some sensor failure. More precisely we will characterize among the sensors some of those w...

We establish a connection between the absolute continuity of elliptic measure associated to a second order divergence form operator with bounded measurable coefficients with the solvability of an endpoint BMO Dirichlet problem. We show that these two notions are equivalent. As a consequence we obtain an end-point perturbation result, i.e., the solvability of the BMO Dirichlet problem implies Lp...

This paper studies the dominance-solvability (by iterated deletion of weakly dominated strategies) of general scoring rule voting games. The scoring rules we study include Plurality rule, Approval voting, Negative Plurality Rule, Borda rule and Relative Utilitarianism. We provide a classification of scoring rule voting games according to whether the sufficient conditions for dominance solvabili...

The solvability of a k-dimensional system of difference equations of interest, which extends several recently studied ones, is investigated. A general sufficient condition for the solvability of the system is given, considerably extending some recent results in the literature.

The study of solvability of nonlinear equations defined in topological vector spaces is a fundamental problem considered in Nonlinear Analysis. This problem is so important because it is related to the study of solvability of differential or integral equations. The literature related to this subject is huge. See [1]–[4], [7], [10], [11], [17], [23]–[25] among the other papers and books publishe...

3 Boundary layer sizes and equations 17 3.1 Definitions and hypothesis (H4) . . . . . . . . . . . . . . . . . . . . . . . . . . 17 3.2 Solvability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 3.2.1 Order zero operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 3.2.2 Operators with constant coefficients . . . . . . . . . . . . . . . . . . . 19 3...