We consider equations describing the thermoelastic behavior of plates modeled in Green-Lindsay sense. This is done with two different type couplings fourth-order plate Kirchhoff-type equation to a second-order heat Cattaneo type, once second, and first order. investigate both systems for bounded domains Cauchy problem, asking exponential stability resp. polynomial decay rates problem. It turns ...

In recent years, the partial differential equations, both fractional and integer orders, have been recognized as a powerful modelingmethodology.They are inspired by problemswhich arise in diverse fields such as biology, fluid dynamics, physics, differential geometry, control theory, materials science, and engineering. The purpose of this special issue is to report and review some recent develop...

In this article, we study a Kirchhoff type problem with a positive parameter λ,

In this article, we apply the Nehari manifold method to study the Kirchhoff type equation

The thermomechanical buckling of simply supported thin shallow spherical shells made of functionally graded material is presented in this paper. A metal-ceramic functionally graded shell with a power law distribution for volume fraction is considered, where its properties vary gradually through the shell thickness direction from pure metal on the inner surface to pure ceramic on the outer surfa...

For any simple connected undirected graph, it is well known that the Kirchhoff and multiplicative degree-Kirchhoff indices can be computed using the Laplacian matrix. We show that the same is true for the additive degree-Kirchhoff index and give a compact Matlab program that computes all three Kirchhoffian indices with the Laplacian matrix as the only input.