In this paper, we study the asymptotic behavior of solutions of the dissipative coupled system
where we have interactions between a Kirchhoff plate and a Euler-Bernoulli plate. We …

This paper is concerned with a nonlinear plate equation modeling the oscillations of
suspension bridges. Under mixed boundary conditions consisting of simply supported and …

In this paper, we consider the initial boundary value problem for a pseudo‐parabolic
Kirchhoff equation with logarithmic nonlinearity. Using the potential well method, we obtain a …

This paper concerns a viscoelastic Kirchhoff-type equation with the dispersive term, internal
damping, and logarithmic nonlinearity. We prove the local existence of a weak solution via a …

In this paper, we study a viscoelastic Kirchhoff equation with fractional Laplacian. We first
prove local existence and uniqueness of solutions. By using the theory of potential wells, we …

A class of fractional viscoelastic Kirchhoff equations involving two nonlinear source terms of
different signs are studied. Under suitable assumptions on the exponents of nonlinear …

This paper is concerned with a coupled system modeling the oscillations of suspension
bridges, which consists of a beam equation and a viscoelastic string equation. We first …

The semilinear wave equation with logarithmic and polynomial nonlinearities is considered
in this paper. By adjusting and using potential well method, we attain the global-in-time …