Consider the Laplacian in a bounded domain in Rd with general (mixed) homogeneous boundary conditions. We prove that its eigenfunctions are ‘quasi-orthogonal’ on the boundary with respect to a certain norm. Boundary orthogonality is proved asymptotically within a narrow eigenvalue window of width o(E1/2) centered about E, as E → ∞. For the special case of Dirichlet boundary conditions, the norm...

In this work, the quasi-3D hyperbolic shear deformation theory (quasi-3D HSDT) is utilized to examine dynamics of thick rectangular plates reinforced with nanofillers known as graphene nanoplatelets (GNPs). Agglomeration GNPs incorporated and mechanical characteristics like shear, elastic, bulk moduli, Poisson's ratio, density are analysed according mixture along Eshelby-Mori-Tanaka approach. H...

Abstract Domain walls in correlated charge density wave compounds such as 1T-TaS 2 can have distinct localized states which govern physical properties and functionalities of emerging quantum phases. However, detailed atomic electronic structures domain largely been elusive. We identify using scanning tunneling microscope functional theory calculations the for a plethora discommensuration quench...

Photovoltaic power generation systems are one of the main renewable sources, and quasi-Z-source inverters becoming powerful devices to integrate these in AC grids. However, stability issues due damping behaviour converters must be considered. There several studies this direction but instability concerns not completely solved yet. This paper contributes with a procedure for assessment photovolta...

In this paper we study the Pareto-optimal solutions in convex multi-objective optimization with compact and convex feasible domain. One of the most important problems in multi-objective optimization is the investigation of the topological structure of the Pareto sets. We present the problem of construction of a retraction function of the feasible domain onto Paretooptimal set, if the objective ...

In this paper we study the robust stability of uncertain quasipolynomials, whose coef£cients may vary in a certain prescribed range. We consider speci£cally the co-called interval and diamond quasipolynomials, and our goal is to develop vertexand edge type-conditions for these quasipolynomial families to be robustly stable independent of delay. Moreover, we also present a number of extensions t...