Kirchhoff equation
Long-Time Behavior of Solutions for a Class of Nonlinear Higher Order Kirchhoff Equation
... the equation does not contain dissipation term - ∆ u t to describe the small vibration of elastic ...low-order Kirchhoff equation with strong damping: ...
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Random Attractor Family for the Kirchhoff Equation of Higher Order with White Noise
... higher-order Kirchhoff equation with strong damping of white noise, nonlinear and non-local source terms and the existence of attractors of stochas- tic Kirchhoff equation are ...
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4. Non-homogeneous Kirchhoff equation on $\mathbb{R}^3$
... In the present paper, following the idea of [8, 17], we consider the nonlinear Kirchhoff equation in the whole space R 3 with g(x) 6≡ 0. To overcome the lack of compactness, we assume that the nonconstant ...
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Multiplicity of solutions for a p-Kirchhoff equation
... For example, Wu [] showed that problem (.) has a nontrivial solution and a se- quence of high energy solutions by using the mountain pass theorem and symmetric.. © The Author(s) 2017.[r] ...
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Multiplicity results for a fractional Kirchhoff equation involving sign-changing weight function
... In this paper, we prove the existence and multiplicity of solutions for a fractional Kirchhoff equation involving a sign-changing weight function which generalizes the corresponding result of Tsung-fang Wu (Rocky ...
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Energy decay and blow-up of solution for a Kirchhoff equation with dynamic boundary condition
... The energy decay and blow-up of a solution for a Kirchhoff equation with dynamic boundary condition are considered. With the help of Nakao’s inequality and a stable set, the energy decay of the solution is given. ...
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On global solution, energy decay and blow-up for 2-D Kirchhoff equation with exponential terms
... where g is a source term with exponential growth at infinity to be specified later, h( · ) is a monotone continuous function with polynomial growth at infinity and with no restriction on the growth rate near the origin. ...
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Existence and multiplicity of solutions for a p-Kirchhoff equation on \({\mathbb {R}}^{N}\)
... Since the pioneering work of Lions [1], much attention has been paid to the existence of nontrivial solutions, multiplicity of solutions, ground state solutions, sign-changing so- lutions, and concentration of solutions ...
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The existence of positive solution for singular Kirchhoff equation with two parameters
... They obtained nontrivial solutions via the Yang index and the invariant sets of descent flow. Sun and Tang [22] obtained the existence and multiplicity of weak solutions of (1.2) by using the mountain pass theorem, the ...
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Existence results for a class of nonlocal problems involving p-Laplacian
... Problem (1.1) is called nonlocal because of the presence of the term M, which implies that the equation is no longer a pointwise identity. This provokes some mathe- matical difficulties which makes the study of ...
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The Global Attractors for the Higher Order Kirchhoff Type Equation with Nonlinear Strongly Damped Term
... G. Kirchhoff [1] and has been studied by many authors under different types of ...of Kirchhoff equation, we can refer [2] [3] [4] [5] ...Higher-order Kirchhoff-type equation are ...
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The Global Attractors and Their Hausdorff and Fractal Dimensions Estimation for the Higher Order Nonlinear Kirchhoff Type Equation with Strong Linear Damping
... Kirchhoff equation. So, in this context, we study the high-order Kirchhoff equation is very ...nonlinear Kirchhoff equation with the damping term, we bor- row some of Li Yan’s ...
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A nonstandard higher-order variational model to speckle noise removal and thin-structure detection
... )-Kirchhoff equation with variables exponent functions that are chosen adaptively based on the map furnished by the topological gradient in order to preserve important features of the ...
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Blow up of Solutions for a System of Nonlinear Higher order Kirchhoff type Equations
... the equation (1.3) becomes a Petrovsky equation which has been extensively studied and several results concerning existence, blow up and asymptotic behavior have been established [12, ...
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Retracted Article: On the Kirchhoff matrix, a new Kirchhoff index and the Kirchhoff energy
... In Equation () of this paper, we have defined the new Kirchhoff matrix in spectral graph theory and, as far as we know, there is no such study about it in the ...
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Global existence, stability results and compact invariant sets for a quasilinear nonlocal wave equation on $mathbb{R}^{N}$
... In the case of bounded domain, T. Kobayashi [11] constructed a unique weak solution by a Faedo-Galerkin method for a quasilinear wave equation with strong dissipation (see also [1, 13]). K. Nishihara [14] has ...
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Multi arrival wavefront tracking and seismic imaging
... Propagating interfaces occur not only in seismic wavefront tracking but also in a wide variety of other settings, and include ocean waves, crystal growth, flame fronts and material boundaries (e.g. in fluid mechanics). ...
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A stable time domain BEM for diffuser scattering
... solved. If the body is rigid (Neumann problem) then the total normal velocity must be zero so the surface normal component of incident and scattered velocity must cancel (Equation 6). An absorbing boundary ...
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Transformation elastodynamics and cloaking for flexural waves
... transformed equation (3) that, in general, cloaks for Kirchhoff-Love plates cannot be decomposed into Helmholtz and modified-Helmholtz ...Helmholtz equation, to dominate outside the immediate ...
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On a fractional equation of Kirchhoff type with a potential asymptotically linear at infinity
... Xiang, MQ, Molica Bisci, G, Tian, GH, Zhang, BL: Infinitely many solutions for the stationary Kirchhoff problems involving the fractional p-Laplacian. Figueirido, GM, Molica Bisci, G, Serv[r] ...
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