In this paper, we prove the local controllability to positive constant trajectories of a nonlinear system two coupled ODE equations, posed in one-dimensional spatial setting, with nonlocal nonlinearities, and using only one localized control moving support. The model deal is derived from well-known reaction–diffusion Gray–Scott when diffusion coefficient first chemical species \(d_u\) tends 0 s...

We prove a relative completeness result for a logic of functional programs extending D. Scott’s LCF. For such a logic, contrary to results for Hoare logic, it does not make sense to ask whether it is complete relative to the full theory of its first-order part, since the first order part does not determine uniquely the model at higher-order types. Therefore, one has to fix a model and choose an...

This paper presents a Scott transformer model to be applied in electromagnetic transients (EMT) programs, particularly the absence of detailed for performing real-time simulations (RTS). Regarding transformer, common topology converting three-phase network into two single-phase networks, EMT programs is essential simulate large-scale electric railway systems. A code-based has been developed RTS...

We study the solvability of initial problems for quasilinear equations with Dzhrbashyan–Nersesyan derivative. establish existence a unique solution and apply results to initial-boundary value model systems partial differential equations, in particular, modified system dynamics Scott-Blair medium.