[PDF] Top 20 General decay for a wave equation of Kirchhoff type with a boundary control of memory type
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General decay for a wave equation of Kirchhoff type with a boundary control of memory type
... similar general decay result as in [17] for nondissipative dis- tributed system ...the memory-type damping acting on a part of the ...a general decay result which includes the ... See full document
15
Optimal decay result for Kirchhoff plate equations with nonlinear damping and very general type of relaxation functions
... to boundary viscoelastic damping and an internal time-dependent fractional damp- ...the memory effects. The causes of these memory effects are, for example, the interaction with another viscoelastic ... See full document
26
General decay of solutions for Kirchhoff type containing Balakrishnan-Taylor damping with a delay and acoustic boundary conditions
... viscoelastic equation for Kirchhoff type con- taining Balakrishnan-Taylor damping with a time-varying delay and acoustic boundary ...noise control and suppression in practical ...the ... See full document
21
General energy decay for nonlinear wave equation of $phi-$Laplacian type with a delay term in the internal feedback
... a boundary control can turn such a well-behaved hyperbolic system into a wild one and therefore, delay becomes a source of ...additional control terms will be necessary (see [19, 20, ... See full document
10
Weighted integral inequality and applications in general energy decay estimate for a variable density wave equation with memory
... and boundary condition, where g is a memory kernel function and ρ is a positive ...a general decay rate of the solution such that the exponential and polynomial decay results in some ... See full document
16
Global attractor for a nonlocal hyperbolic problem on ${\mathcal{R}}^{N}$
... a general dissipative wave ...existence, decay estimates, asymptotic stability and blow up results for a degenerate non-linear wave equation of Kirchhoff type with a ... See full document
10
General decay for weak viscoelastic Kirchhoff plate equations with delay boundary conditions
... a decay rate of the solutions for weak viscoelastic Kirch- hoff plate equations with time-varying delay in the ...a decay estimate for the energy, which depends on the behavior of both α and ...the ... See full document
17
Energy Decay for a Von Karman Equation of Memory Type with a Delay Term
... uniform decay rates for the von Karman system with frictional dissipative effects in the ...with memory and boundary memory conditions was treated in [5] [6] [7] ...polynomial decay ... See full document
11
Boundary Stabilization of a More General Kirchhoff Type Beam Equation
... beam equation which clamped boundary and obtained the ex- ponential decay of the energy when a damping of the type a(x)u t is effective near the ... See full document
5
Exponential decay rate for a quasilinear von Karman equation of memory type with acoustic boundary conditions
... the boundary is given by ...of wave equations with acoustic boundary, we refer the reader to ...acoustic boundary conditions were introduced by Beale and Rosencrans in [, ], where the ... See full document
14
General decay rate estimates for a semilinear parabolic equation with memory term and mixed boundary condition
... the memory effect in the material. The memory kernel g is defined on [, ∞) and represents the negative derivative of the relation function of heat ...balance equation implies that u(x, t) will satisfy ... See full document
11
General stability for the Kirchhoff-type equation with memory boundary and acoustic boundary conditions
... acoustic boundary conditions of the general form, and then Beale [, ] proved global existence and regularity of solutions for wave equations with acoustic boundary ...the wave ... See full document
19
General decay for Kirchhoff plates with a boundary condition of memory type
... a memory condition at the ...more general decay result, from which the usual exponential and polynomial decay rates are only special ... See full document
11
General decay for a viscoelastic wave equation with strong time-dependent delay
... Motivated by [], we study in the present work the asymptotic behavior for system (.)- (.). Since the delay is dependent on time, this makes the work different from []. The main objective of the present work is to ... See full document
11
Blow up of Solutions for a System of Nonlinear Higher order Kirchhoff type Equations
... and decay of the solution for the ...and decay of the solution for the problem ...existence, decay and blow up of solutions for the problem ...existence, decay of solutions for the problem ... See full document
11
On a Perturbed Dirichlet Problem for a Nonlocal Differential Equation of Kirchhoff Type
... more general hx, t and the nonlinearity f is multiplied by a positive parameter μ, the existence of at least three solutions for all λ belonging to a suitable interval depending on h and K and for all μ small ... See full document
10
Multiplicity results for the Kirchhoff type equation via critical groups
... There are many difficulties if we want to obtain critical groups estimates for the Kirch- hoff type equation; for example, we are not sure if the generalized Morse splitting lemma can be used. Then in this ... See full document
12
Global existence, stability results and compact invariant sets for a quasilinear nonlocal wave equation on $mathbb{R}^{N}$
... quasilinear wave equation with strong dissipation (see also [1, ...a decay estimate from below of the potential of ...non-linear wave equation of Kirchhoff type with ... See full document
11
Existence of Solutions for a Class of Kirchhoff type Equation with Nonstandard Growth
... the Kirchhoff equations and the Kirchhoff systems have been considered by variational method in the case involving the p − Laplacian operator [4, 7, 8, 18, 19, ... See full document
7
On a fractional equation of Kirchhoff type with a potential asymptotically linear at infinity
... In recent years, a great attention has been focused on the study of fractional and nonlocal operators of elliptic type, both for the pure mathematical research and for concrete real- world applications. The ... See full document
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