Asymptotic Behavior of Bounded Solutions to a First Order Gradient-like System

Asymptotic Behavior of Bounded Solutions to a First Order Gradient-like System

In this paper, we prove the long time behavior of bounded solutions to a first order gradient-like system with low damping and perturbation terms. Our convergence results are obtained under some hypotheses of KurdykaLojasiewicz inequality and the angle and comparability condition. This is an Open A...

Full description

Bibliographic Details
Main Authors:	Minh-Phuong Tran, Thanh-Nhan Nguyen
Format:	Article
Language:	English
Published:	Ton Duc Thang University 2019-03-01
Series:	Journal of Advanced Engineering and Computation
Online Access:	http://jaec.vn/index.php/JAEC/article/view/227

Similar Items

On the Convergence of Bounded Solutions of Non Homogeneous Gradient-like Systems
by: Phuong Minh Tran, et al.
Published: (2017-06-01)

An application of global gradient estimates in Lorentz-Morrey spaces for the existence of stationary solutions to degenerate diffusive Hamilton-Jacobi equations
by: Minh-Phuong Tran, et al.
Published: (2019-11-01)

Numerical Determination of Truncation Orders in the Correction Method for Stokes Equations
by: Phuong Minh Tran, et al.
Published: (2018-03-01)

Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case
by: L. H. Cao, et al.
Published: (2010-01-01)

Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case
by: Zhang JM, et al.
Published: (2010-01-01)

On the asymptotic analysis of bounded solutions to nonlinear differential equations of second order
by: Cemil Tunç, et al.
Published: (2019-11-01)

Existence and asymptotic expansion of the weak solution for a wave equation with nonlinear source containing nonlocal term
by: Nguyen Huu Nhan, et al.
Published: (2017-06-01)

On a Nonlinear Wave Equation of Kirchhoff-Carrier Type: Linear Approximation and Asymptotic Expansion of Solution in a Small Parameter
by: Nguyen Huu Nhan, et al.
Published: (2018-01-01)

Asymptotic behavior of solutions to a first-order non-homogeneous delay differential equation
by: Qiyuan Zhou
Published: (2011-08-01)

Existence and asymptotic behavior of solutions of the Dirichlet problem for a nonlinear pseudoparabolic equation
by: Le Thi Phuong Ngoc, et al.
Published: (2018-01-01)

Existence of Solutions to Wasserstein Gradient Flows and Their Long Time Asymptotic Behaviors
Published: (2016)

Asymptotic behavior of the solutions of a class of second order differential systems
by: Svetoslav Ivanov Nenov
Published: (2001-01-01)

Precise asymptotic behavior of strongly decreasing solutions of first-order nonlinear functional differential equations
by: George E. Chatzarakis, et al.
Published: (2014-10-01)

Existence and asymptotic behavior of positive solutions of a semilinear elliptic system in a bounded domain
by: Majda Chaieb, et al.
Published: (2016-01-01)

Linear Approximation and Asymptotic Expansion of Solutions for a Nonlinear Carrier Wave Equation in an Annular Membrane with Robin-Dirichlet Conditions
by: Le Thi Phuong Ngoc, et al.
Published: (2016-01-01)

Asymptotic expansions for bounded solutions to semilinear Fuchsian equations
by: Xiaochun, Liu, et al.
Published: (2001)

Asymptotic Behavior of Solutions of Even-Order Advanced Differential Equations
by: Omar Bazighifan, et al.
Published: (2020-01-01)

First-order impulsive differential systems: sufficient and necessary conditions for oscillatory or asymptotic behavior
by: Shyam Sundar Santra, et al.
Published: (2021-06-01)

Multiple solutions for p-Laplacian problems involving general subcritical growth in bounded domains
by: Nguyen Thanh Chung, et al.
Published: (2016-03-01)

Asymptotic behavior of solutions to a degenerate quasilinear parabolic equation with a gradient term
by: Huilai Li, et al.
Published: (2015-12-01)

Asymptotic Bounds for Linear Difference Systems
by: Čermák Jan
Published: (2010-01-01)

Asymptotic Bounds for Linear Difference Systems
by: Jan &#268;erm&#225;k
Published: (2010-01-01)

Asymptotic behavior of solutions to a system of Schrodinger equations
by: Xavier Carvajal, et al.
Published: (2017-07-01)

Asymptotic Behavior of Solutions of Higher-Order Dynamic Equations on Time Scales
by: Xiaofeng Peng, et al.
Published: (2011-01-01)

ASYMPTOTIC BEHAVIOR OF NONOSCILLATORY SOLUTIONS OF FOURTH ORDER LINEAR DIFFERENTIAL EQUATIONS
by: Aníbal Coronel, et al.
Published: (2016-06-01)

Asymptotic behavior of solutions to higher order nonlinear delay differential equations
by: Haihua Liang
Published: (2014-09-01)

Asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations
by: Martin Bohner, et al.
Published: (2014-01-01)

Asymptotic Behavior of Solutions of Higher-Order Dynamic Equations on Time Scales
by: Xi Hongjian, et al.
Published: (2011-01-01)

Gradient bounds for solutions of nonlinear strictly elliptic equations, applications and extensions
by: Duc Nguyen Vinh
Published: (2018-01-01)

Global existence and asymptotic behavior of solutions for a system of higher-order Kirchhoff-type equations
by: Yaojun Ye
Published: (2015-03-01)

Asymptotic behavior of positive solutions of a class of systems of second order nonlinear differential equations
by: Jaroslav Jaroš, et al.
Published: (2013-04-01)

Asymptotic behavior for second order lattice dynamical systems
by: Shengfan Zhou
Published: (2001-01-01)

Asymptotic solutions of second order difference equations
by: Li, Henian
Published: (2013)

Asymptotic solutions of second order difference equations
by: Li, Henian
Published: (2013)

ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF AN n-TH ORDER NONLINEAR O.D.E.
by: Santiago César Rojas Romero
Published: (2014-09-01)

Asymptotic and Oscillatory Behavior of Solutions of a Class of Higher Order Differential Equation
by: Elmetwally M. Elabbasy, et al.
Published: (2019-11-01)

Asymptotic behavior of solutions to second-order differential equations with fractional derivative perturbations
by: Eva Brestovanska, et al.
Published: (2014-09-01)

Oscillation and asymptotic behavior of solutions of a second order nonlinear difference equation
by: ZHAO,YOU-GUANG, et al.
Published: (1990)

Asymptotic Sharpness of Bounds on Hypertrees
by: Lin Yi, et al.
Published: (2017-08-01)

Asymptotic behavior of solutions to Cauchy-Dirichlet problems for second-order hyperbolic equations in cylinder with non-smooth base
by: Nguyen Manh Hung, et al.
Published: (2009-03-01)