On a Global Solution and Asymptotic Behaviour for the Generalized Damped Extensible Beam Equation

Solange Kouémou Patcheu

Type: Article

Publication Date: 1997-04-01

Citations: 89

DOI: https://doi.org/10.1006/jdeq.1996.3231

View

Locations

Journal of Differential Equations - View

Similar Works

Action	Title	Year	Authors
+	GLOBAL EXISTENCE AND ASYMPTOTIC STABILITY FOR THE NONLINEAR AND GENERALIZED DAMPED EXTENSIBLE PLATE EQUATION	2004	Marcelo M. Cavalcanti V. N. Domingos Cavalcanti J.A. Soriano
+	On an extensible beam equation with nonlinear damping and source terms	2013	Zhijian Yang
+	Large time behavior of global solutions of the semilinear damped beam equation with slowly decaying data	2014	Hiroshi Takeda
+ PDF Chat	The global attractor for a class of extensible beams with nonlocal weak damping	2019	Chunxiang Zhao Chunyan Zhao Chengkui Zhong
+	Long-time behavior for a class of extensible beams with nonlocal weak damping and critical nonlinearity	2020	Chunxiang Zhao Shan Ma Chengkui Zhong
+	Attractors and their properties for a class of nonlocal extensible beams	2014	Marcio A. Jorge Silva Vando Narciso
+ PDF Chat	Global Existence and Asymptotic Behavior of Solutions to the Generalized Damped Boussinesq Equation	2013	Yinxia Wang Hengjun Zhao
+	Global solution and asymptotic behavior for the variable coefficient beam equation with nonlinear damping	2015	Long Yan Shuguan Ji
+ PDF Chat	The well-posedness and attractor on an extensible beam equation with nonlocal weak damping	2022	Chunxiang Zhao Fengjuan Meng Chengkui Zhong
+ PDF Chat	Decay estimates for the Cauchy problem for the damped extensible beam equation	2015	Reinhard Racke Shuji Yoshikawa
+	BLOW UP OF POSITIVE INITIAL-ENERGY SOLUTIONS FOR THE EXTENSIBLE BEAM EQUATION WITH NONLINEAR DAMPING AND SOURCE TERMS	2016	Erhan Pışkın Nazlı Irkıl
+	On Uniform Decay of Solutions for Extensible Beam Equation with Strong Damping	2014	Feng Baowei Zhang Ming Ming Liang Liang Tie-wang Li Haiyan Haiyan
+	On Uniform Decay of Solutions for Extensible Beam Equation with Strong Damping	2014	Baowei Feng Ming Zhang Liang Tiewang Haiyan Li
+ PDF Chat	Dynamics of a class of extensible beams with degenerate and non-degenerate nonlocal damping	2023	E.H. Gomes Tavares M.A. Jorge Silva Vando Narciso A. Vicente
+ PDF Chat	On the solutions for an extensible beam equation with internal damping and source terms	2019	Ducival Carvalho Pereira Hoang Tuan Nguyen C. A. Raposo Celsa H. M. Maranhão
+	Dynamics of a class of extensible beams with degenerate and non-degenerate nonlocal damping	2022	Eduardo H. Gomes Tavares Marcio A. Jorge Silva Vando Narciso André Vicente
+	Uniform attractors for a nonautonomous extensible plate equation with a strong damping	2016	Baowei Feng Xin‐Guang Yang Yuming Qin
+	Existence, global nonexistence, and asymptotic behavior of solutionsfor the Cauchy problem of a multidimensional generalized damped Boussinesq-type equation	2014	Erhan Pişkın Necat Polat
+	Attractor for the Extensible Beam Equation with Nonlocal Weak Damping on Time–Dependent Space	2023	Chun Xiang Zhao Feng Juan Meng
+ PDF Chat	Well-Posedness and Strong Attractors for a Beam Model with Degenerate Nonlocal Strong Damping	2025	Senlin Yan Chengkui Zhong

Cited by (70)

Action	Title	Year	Authors
+ PDF Chat	Global Well-Posedness and Stability for a Viscoelastic Plate Equation with a Time Delay	2015	Baowei Feng
+	Stability for extensible beams with a single degenerate nonlocal damping of Balakrishnan-Taylor type	2021	Marcelo M. Cavalcanti V. N. Domingos Cavalcanti Marcio A. Jorge Silva Vando Narciso
+	Global exixtence and exponential decay estimates for a dampad quasilinear equation	1997	Kouémou-Patcheu Solange Solange Kouémou-Patcheu
+	Global solutions of abstract quasi-linear evolution equations of “hyperbolic” type	1999	Naoki Tanaka
+ PDF Chat	Robust attractors for a perturbed non-autonomous extensible beam equation with nonlinear nonlocal damping	2019	Yanan Li Zhijian Yang Fang Da
+ PDF Chat	A Numerical Algorithm for a Kirchhoff‐Type Nonlinear Static Beam	2009	Jemal Peradze
+	Global existence and blow-up of solutions for a Kirchhoff type plate equation with damping	2015	Jun Zhou
+	A Galerkin–Newton Algorithm for Solution of a Kirchhoff-Type Static Equation	2021	Nikoloz Kachakhidze Jemal Peradze Zviad Tsiklauri
+ PDF Chat	Nonlinear stochastic partial differential equations of hyperbolic type driven by Lévy-type noises	2016	Jiahui Zhu Zdzisław Brzeźniak
+	Numerical solution of the static beam problem by Bernoulli collocation method	2016	Quanwei Ren Hongjiong Tian
+	On an extensible beam equation with nonlinear damping and source terms	2013	Zhijian Yang
+ PDF Chat	EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTIONS FOR A NONLINEAR WAVE EQUATION	2009	Shun-Tang Wu Long-Yi Tsai
+	Controllability of Damped Second Order Semi-linear Neutral Functional Differential Inclusions in Banach Spaces	2009	Dimplekumar Chalishajar
+	Attractors and their stability with respect to rotational inertia for nonlocal extensible beam equations	2018	Takayuki Niimura
+	Long-time dynamics of a class of nonlocal extensible beams with time delay	2021	Fengjuan Meng Cuncai Liu Chang Zhang
+ PDF Chat	Global well-posedness analysis for the nonlinear extensible beam equations in a class of modified Woinowsky-Krieger models	2022	Chao Yang Vicenţiu D. Rădulescu Runzhang Xu Mingyou Zhang
+	Existence results for impulsive semilinear damped differential inclusions	2003	Mouffak Benchohra Johnny Henderson Sotiris K. Ntouyas Abdelghani Ouahab
+	Existence of solutions of nonlinear extensible beam equations	2002	K. Balachandran J. Y. Park Il Hyo Jung
+	CONTROLLABILITY OF DAMPED SECOND-ORDER INITIAL VALUE PROBLEM FOR A CLASS OF DIFFERENTIAL INCLUSIONS WITH NONLOCAL CONDITIONS ON NONCOMPACT INTERVALS	2013	Dimplekumar Chalishajar
+ PDF Chat	Boundary Stabilization of a More General Kirchhoff-Type Beam Equation	2012	Jianwen Zhang Danxia Wang
+	Multiplicity and concentration of nontrivial solutions for the generalized extensible beam equations	2018	Juntao Sun Tsung‐fang Wu
+	BLOW UP OF POSITIVE INITIAL-ENERGY SOLUTIONS FOR THE EXTENSIBLE BEAM EQUATION WITH NONLINEAR DAMPING AND SOURCE TERMS	2016	Erhan Pışkın Nazlı Irkıl
+	Ground state solutions for the generalized extensible beam equations	2022	Tsung‐fang Wu
+ PDF Chat	The global attractor for a class of extensible beams with nonlocal weak damping	2019	Chunxiang Zhao Chunyan Zhao Chengkui Zhong
+ PDF Chat	On a beam model related to flight structures with nonlocal energy damping	2019	Marcio A. Jorge Silva Vando Narciso André Vicente
+	Beam evolution equation with variable coefficients in non‐cylindrical domains	2007	Cruz Sonia Quiroga de Caldas J. Límaco Rioco Kamei Barreto
+	Some uniqueness results for functional damped semilinear differential equations in Fréchet spaces	2008	Abdelghani Ouahab
+	NONLOCAL CAUCHY PROBLEM FOR SECOND ORDER STOCHASTIC EVOLUTION EQUATIONS IN HILBERT SPACES	2007	P. Balasubramaniam And J. Y. Park
+	On the Hartman–Grobman Theorem with Parameters	2010	Hildebrando M. Rodrigues J. Solà‐Morales
+ PDF Chat	Long-time dynamics for a class of extensible beams with nonlocal nonlinear damping<sup>*</sup>	2017	Marcio A. Jorge Silva Vando Narciso
+	Solvability for a nonlinear coupled system of Kirchhoff type for the beam equations with nonlocal boundary conditions	2005	Mauro de Lima Santos Marcus Pinto da Costa da Rocha Ducival Carvalho Pereira Jorge Ferreira
+ PDF Chat	Energy decay and blow-up of solution for a Kirchhoff equation with dynamic boundary condition	2013	Hongwei Zhang Changshun Hou Qingying Hu
+	Asymptotic stability of a quasi-linear viscoelastic Kirchhoff plate equation with logarithmic source and time delay	2023	Zayd Hajjej Sun‐Hye Park
+	Stability of strong attractors for the extensible beam equation with gentle dissipation	2023	Zhiming Liu Zhijian Yang Yuanyuan Guo
+	GLOBAL EXISTENCE AND ASYMPTOTIC STABILITY FOR THE NONLINEAR AND GENERALIZED DAMPED EXTENSIBLE PLATE EQUATION	2004	Marcelo M. Cavalcanti V. N. Domingos Cavalcanti J.A. Soriano
+	Attractors and their properties for a class of nonlocal extensible beams	2014	Marcio A. Jorge Silva Vando Narciso
+	A class of integro-differential equations incorporating nonlinear and nonlocal damping with applications in nonlinear elastodynamics: Existence via time discretization	2011	Etienne Emmrich Mechthild Thalhammer
+ PDF Chat	On a beam model with degenerate nonlocal nonlinear damping	2022	Vando Narciso Fatma Ekinci Erhan Pışkın
+	Impulsive Differential Equations and Inclusions	2006	M. Benchohra Johnny Henderson Sotiris K. Ntouyas
+	Kernel sections and global dynamics of nonautonomous Euler–Bernoulli beam equations	2020	Huatao Chen Juan L. G. Guirao Jingfei Jiang Dengqing Cao Xiaoming Fan

Citing (15)

Action	Title	Year	Authors
+	Decay Estimates for the Wave Equation with Internal Damping	1994	Vilmos Komornik
+ PDF Chat	On some quasilinear wave equations with dissipative terms	1982	Yoshio Yamada
+	Stability and decay for a class of nonlinear hyperbolic problems	1988	Enrique Zuazua
+	On a new class of nonlinear wave equations	1979	Luiz Adauto Medeiros
+	Exact controllability and stabilization: The multiplier method	1994	Vilmos Komornik
+ PDF Chat	On a Global Solution of Some Quasilinear Hyperbolic Equation	1984	Kenji Nishihara
+	Energy methods for quasilinear hyperbolic initial-boundary value problems. Applications to elastodynamics	1985	Constantine M. Dafermos William J. Hrusa
+	Remark on the decay for damped string and beam equations	1986	Piotr Biler
+	The damped elastic stretched string equation generalized: existence, uniqueness, regularity and stability	1982	Eliana Henriques de Brito Jack K. Hale
+	Infinite Systems of Nonlinear Oscillation Equations with Linear Damping	1970	R. W. Dickey
+	On local strong solutions of a nonlinear partial differential equation	1980	Pedro Humberto Rivera Rodriguezt Jack K. Hale P. H. Rivera
+	ON A CLASS OF QUASILINEAR HYPERBOLIC EQUATIONS	1975	Stanislav I. Pohožaev
+	A class of functional differential equations of mixed type	1994	Zhanyuan Hou
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern
+	Quelques méthodes de résolution des problèmes aux limites non linéaires	1969	Jacques Louis Lions