http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
Existence of anti-periodic solutions for quasilinear parabolic hemivariational inequalities
Park, J.Y.,Ha, T.G. Pergamon Press 2009 Nonlinear analysis Vol.71 No.7
In this paper, we consider the problem of the existence of anti-periodic solutions for quasilinear parabolic hemivariational inequalities with a pseudomonotone operator. Using regularized approximating and first eigenfunction methods and the surjectivity result, we prove the existence of solutions for quasilinear parabolic hemivariational inequalities.
HYPERBOLIC HEMIVARIATIONAL INEQUALITIES WITH BOUNDARY SOURCE AND DAMPING TERMS
Jeong, Jin-Mun,Park, Jong-Yeoul,Park, Sun-Hye Korean Mathematical Society 2009 대한수학회논문집 Vol.24 No.1
In this paper we study the existence of global weak solutions for a hyperbolic hemivariational inequalities with boundary source and damping terms, and then investigate the asymptotic stability of the solutions by using Nakao Lemma [8].
CONVERGENCE ANALYSIS OF PERTURBED HEMIVARIATIONAL INEQUALITIES
Mansour, Mohamed-Ait,Riahi, Hassan 한국전산응용수학회 2004 Journal of applied mathematics & informatics Vol.14 No.1
We consider the rate of convergence for a class of perturbed hemivariational inequalities in reflexive Banach Spaces. Our results can be viewed as an extension and refinement of some previous known results in this area.
OPTIMAL CONTROL PROBLEMS FOR PARABOLIC HEMIVARIATIONAL INEQUALITIES WITH BOUNDARY CONDITIONS
Jeong, Jin-Mun,Ju, Eun-Young,Kim, Hyun-Min Korean Mathematical Society 2015 대한수학회지 Vol.52 No.3
In this paper, we study optimal control problems for parabolic hemivariational inequalities of dynamic elasticity and investigate the continuity of the solution mapping from the given initial value and control data to trajectories. We show the existence of an optimal control which minimizes the quadratic cost function and establish the necessary conditions of optimality of an optimal control for various observation cases.
OPTIMAL CONTROL PROBLEMS FOR PARABOLIC HEMIVARIATIONAL INEQUALITIES WITH BOUNDARY CONDITIONS
정진문,주은영,김현민 대한수학회 2015 대한수학회지 Vol.52 No.3
In this paper, we study optimal control problems for parabolic hemivariational inequalities of dynamic elasticity and investigate the continuity of the solution mapping from the given initial value and control data to trajectories. We show the existence of an optimal control which minimizes the quadratic cost function and establish the necessary conditions of optimality of an optimal control for various observation cases.
ERROR BOUNDS FOR NONLINEAR MIXED VARIATIONAL-HEMIVARIATIONAL INEQUALITY PROBLEMS
A. A. H. Ahmadini,Salahuddin,J. K. Kim 경남대학교 수학교육과 2024 Nonlinear Functional Analysis and Applications Vol.29 No.1
In this article, we considered a class of nonlinear variational hemivariational inequality problems and investigated a gap function and regularized gap function for the problems. We discussed the global error bounds for such inequalities in terms of gap function and regularized gap functions by utilizing the Clarke generalized gradient, relaxed monotonicity, and relaxed Lipschitz continuous mappings. Finally, as applications, we addressed an application to non-stationary non-smooth semi-permeability problems.
Study of dynamical model for piezoelectric cylinder in frictional antiplane contact problem
S. Medjerab,A. Aissaoui,M. Dalah 한국전산응용수학회 2023 Journal of applied mathematics & informatics Vol.41 No.3
We propose a mathematical model which describes the frictional contact between a piezoelectric body and an electrically conductive foundation. The behavior of the material is described with a linearly electro-viscoelastic constitutive law with long term memory. The mechanical process is dynamic and the electrical conductivity coefficient depends on the total slip rate, the friction is modeled with Tresca's law which the friction bound depends on the total slip rate with taking into account the electrical conductivity of the foundation both. The main results of this paper concern the existence and uniqueness of the weak solution of the model; the proof is based on results for second order evolution variational inequalities with a time-dependent hemivariational inequality in Banach spaces.
Jong Kyu Kim,A. A. H. Ahmadini,Salahuddin 경남대학교 수학교육과 2024 Nonlinear Functional Analysis and Applications Vol.29 No.3
The objective of this article is to study the general set-valued nonlinear variational-hemivariational inequalities and investigate the gap function, regularized gap function and Moreau-Yosida type regularized gap functions for the general set-valued nonlinear variational-hemivariational inequalities, and also discuss the error bounds for such inequalities using the characteristic of the Clarke generalized gradient, locally Lipschitz continuity, inverse strong monotonicity and Hausdorff Lipschitz continuous mappings.