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Currently displaying 1 – 7 of 7

Order by Relevance | Title | Year of publication

Existence and asymptotic stability for viscoelastic problems with nonlocal boundary dissipation

Jong Yeoul Park; Sun Hye Park — 2006

Czechoslovak Mathematical Journal

We consider the damped semilinear viscoelastic wave equation $u^{''} - Δ u + \int_{0}^{t} h (t - τ) div {a \nabla u (τ)} d τ + g (u^{'}) = 0 in Ω \times (0, \infty)$ with nonlocal boundary dissipation. The existence of global solutions is proved by means of the Faedo-Galerkin method and the uniform decay rate of the energy is obtained by following the perturbed energy method provided that the kernel of the memory decays exponentially.

Uniform decay for a hyperbolic system with differential inclusion and nonlinear memory source term on the boundary

Jong Yeoul Park; Sun Hye Park — 2009

Czechoslovak Mathematical Journal

We prove the existence and uniform decay rates of global solutions for a hyperbolic system with a discontinuous and nonlinear multi-valued term and a nonlinear memory source term on the boundary.

Anti-periodic solutions to a parabolic hemivariational inequality

Jong Yeoul Park; Hyun Min Kim; Sun Hye Park — 2004

Kybernetika

In this paper we deal with the anti-periodic boundary value problems with nonlinearity of the form $b (u)$ , where $b \in L_{loc}^{\infty} (R) .$ Extending $b$ to be multivalued we obtain the existence of solutions to hemivariational inequality and variational-hemivariational inequality.

Solutions for a hyperbolic system with boundary differential inclusion and nonlinear second-order boundary damping.

Park, Jong Yeoul; Park, Sun Hye — 2003

Electronic Journal of Differential Equations (EJDE) [electronic only]

On asymptotic behavior of global solutions for hyperbolic hemivariational inequalities.

Park, Jong Yeoul; Park, Sun Hye — 2006

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence and asymptotic stability of solutions for hyperbolic differential inclusions with a source term.

Park, Jong Yeoul; Park, Sun Hye — 2007

Journal of Inequalities and Applications [electronic only]

Regularity of parabolic hemivariational inequalities with boundary conditions.

Park, Dong-Gun; Jeong, Jin-Mun; Park, Sun Hye — 2009

Journal of Inequalities and Applications [electronic only]

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