We investigate the cosmological implications of an effective gravitational action, inspired by Sakharov’s idea induced gravity, containing non-local contributions from operator □+β−1R. The β term is a novel feature in panorama models and arises naturally within Sakharov theory potential non-minimally coupled scalar field after spontaneous symmetry breaking takes place. In this class contributio...

The relationship between potato and banana transport theories is addressed using the solution of the drift kinetic equation. It is shown that they are two limits of a complete theory. The potato theory is the ψ → 0 limit and the banana theory is the ψ → ∞ limit. Here, ψ is the poloidal flux function. These local transport theories are valid even in the steep gradient situations because the real...

In this paper, linear stability analysis of non-prismatic beam resting on uniform Winkler-Pasternak elastic foundation is carried out based on Eringen's non-local elasticity theory. In the context of small displacement, the governing differential equation and the related boundary conditions are obtained via the energy principle. It is also assumed that the width of rectangle cross-section varie...

We present a method for linearising classes of matrix-valued nonlinear partial differential equations with local and nonlocal nonlinearities. Indeed we generalise linearisation procedure originally developed by P\"oppe based on solving the corresponding underlying linear equation to generate an evolutionary Hankel operator `scattering data', then Fredholm akin Marchenko solution system. Our gen...