In this paper, we prove a Carleman estimate for a Kirchhoff plate equation and apply the Carleman estimate to inverse problems of determining spatially varying two Lamé coefficients and the mass density by a finite number of boundary observations. Our main results are Lipschitz stability estimates for the inverse problems under suitable conditions of initial values and boundary val-

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

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.

<p style='text-indent:20px;'>We study a class of critical Kirchhoff problems with general nonlocal term. The main difficulty here is the absence closed-form formula for compactness threshold. First we obtain variational characterization this threshold level. Then prove series existence and multiplicity results based on characterization.</p>

Abstract In the present paper, we consider a fractional discrete Schrödinger equation with Kirchhoff term. Through fountain theorem and dual theorem, obtain two different conclusions about infinitely many homoclinic solutions to this equation.

In this paper, we study the long-time behavior of a class generalized nonlinear Kichhoff equation under condition n dimension. Firstly, Lipschitz property and squeezing semigroup related to initial-boundary value problem are proved, then existence its exponential attractor is obtained. By extending space E0 Ek, family attractors second part, consider for system Kirchhoff type with strong dampin...

In this paper we study a non-homogeneous elliptic Kirchhoff equation with nonlinear reaction term. We analyze the existence and uniqueness of positive solution. The main novelty is the inclusion of non-homogeneous term making the problem without a variational structure. We use mainly bifurcation arguments to get the results.

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 ...