논문KCI 등재
Existence and Exponential Stability for a Thermoviscoelastic Equation with Boundary Output Feedback Control
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we consider a thermoviscoelastic equation which has one endfixed and output feedback control at the other end. We prove the existence of solutionsusing the Galerkin method and then investigate the exponential stability of solutions byusing multiplier technique.
Abstract
In this paper, we consider a thermoviscoelastic equation which has one endfixed and output feedback control at the other end. We prove the existence of solutionsusing the Galerkin method and then investigate the exponential stability of solutions byusing multiplier technique.
참고문헌 (7)
- Bao-Zhu Guo, "Adaptive stabilization for a Kirchhoff-type nonlinear beam under boundary output feedback control", Nonlinear Analysis, 66, pp.427~441 (2007)
- Bao-Zhu Guo, "On exponential stability of a semilinear wave equation with variable coefficients under the nonlinear boundary feedback", Nonlinear Analysis, 71, pp.5961~5978 (2009)
- J. E. Lagnese, "Uniform stabilization of a nonlinear beam by nonlinear boundary feedback", Journal of Differential Equations, 91, pp.355~388 (1991)
- J. Y. Park, "Existence and exponential stability for a Euler-Bernoulli beam equation with memory and boundary output feedback control term", Acta Applicandae Mathematicae, 104, pp.287~301 (2008)
- M. Fekan, "Free vibrations of beams on bearings with nonlinear elastic responses", Journal of Differential Equations, 154, pp.55~72 (1999)
- M. Nakao, "The contact problem in thermoviscoelastic materials", Journal of Mathematical Analysis and Applications, 264, pp.522~545 (2001)
- T. F. Ma, "Existence results for a model of nonlinear beam on elastic bearings", Applied Mathematics Letters, 13, pp.11~15 (2000)
관련 논문AI추천
A memory type boundary stabilization for an Euler-Bernoulli beam under boundary output feedback controlJong Yeoul Park, Jung Ae Kim, Yong Han Kang대한수학회 · 대한수학회지2012 · 제49권 제5호Existence and Energy Decay of the Solutions for a Nonlinear Thermoviscoelastic Model with a Variable ExponentMohamed Benallia, Mohamed Dilmi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2025 · 제65권 제1호General stabilization for the full von Karman system with a thermo-viscoelastic damping and a frictional dampingABDELHAK DJEBABLA, AHMED BERKANE, DALLEL OUCIF장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제3호ENERGY DECAY RATE FOR THE KELVIN-VOIGT TYPE WAVE EQUATION WITH BALAKRISHNAN-TAYLOR DAMPING AND ACOUSTIC BOUNDARY강용한영남수학회 · East Asian Mathematical Journal2016 · 제32권 제3호Exponential Decay for the Solution of the Viscoelastic Kirchhoff Type Equation with Memory Condition at the Boundary김대욱영남수학회 · East Asian Mathematical Journal2018 · 제34권 제1호Energy Decay Rates for the Kirchhoff Type Wave Equation with Balakrishnan-Taylor Damping and Acoustic Boundary강용한영남수학회 · East Asian Mathematical Journal2014 · 제30권 제3호
이 간행물의 다른 논문 (23건)
An error embedded Runge-Kutta method for initial value problems부선영, 김필수, 정원규pp. 311-327Korobov Polynomials of the Fifth Kind and of the Sixth KindToufik Mansour, 김대산, 김태균, Hyuck In Kwonpp. 329-342Posner's First Theorem for ∗-ideals in Prime Rings with InvolutionMohammad Ashraf, Mohammad Aslam Siddeequepp. 343-347On the Numbers of PalindromesYan-Quan Feng, 이자은, Sejeong Bangpp. 349-355On Deferred Statistical Convergence of SequencesMujde Yimazturk, Mehme Kucukaslanpp. 357-366