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Stabilization of positive solutions for analytic gradientlike systems
1.  Fachbereich Mathematik, Universität Rostock, Universitätsplatz 1, D18055 Rostock, Germany 
[1] 
Maurizio Grasselli, Morgan Pierre. Convergence to equilibrium of solutions of the backward Euler scheme for asymptotically autonomous secondorder gradientlike systems. Communications on Pure and Applied Analysis, 2012, 11 (6) : 23932416. doi: 10.3934/cpaa.2012.11.2393 
[2] 
Yejuan Wang, Tomás Caraballo. Morse decomposition for gradientlike multivalued autonomous and nonautonomous dynamical systems. Discrete and Continuous Dynamical Systems  S, 2020, 13 (8) : 23032326. doi: 10.3934/dcdss.2020092 
[3] 
Elena Nozdrinova, Olga Pochinka. Solution of the 33rd PalisPugh problem for gradientlike diffeomorphisms of a twodimensional sphere. Discrete and Continuous Dynamical Systems, 2021, 41 (3) : 11011131. doi: 10.3934/dcds.2020311 
[4] 
Yutian Lei, Zhongxue Lü. Axisymmetry of locally bounded solutions to an EulerLagrange system of the weighted HardyLittlewoodSobolev inequality. Discrete and Continuous Dynamical Systems, 2013, 33 (5) : 19872005. doi: 10.3934/dcds.2013.33.1987 
[5] 
Xiaoqian Liu, Yutian Lei. Existence of positive solutions for integral systems of the weighted HardyLittlewoodSobolev type. Discrete and Continuous Dynamical Systems, 2020, 40 (1) : 467489. doi: 10.3934/dcds.2020018 
[6] 
Tommaso Leonori, Martina Magliocca. Comparison results for unbounded solutions for a parabolic CauchyDirichlet problem with superlinear gradient growth. Communications on Pure and Applied Analysis, 2019, 18 (6) : 29232960. doi: 10.3934/cpaa.2019131 
[7] 
Ruyun Ma, Man Xu. Connected components of positive solutions for a Dirichlet problem involving the mean curvature operator in Minkowski space. Discrete and Continuous Dynamical Systems  B, 2019, 24 (6) : 27012718. doi: 10.3934/dcdsb.2018271 
[8] 
MingChia Li. Stability of parameterized MorseSmale gradientlike flows. Discrete and Continuous Dynamical Systems, 2003, 9 (4) : 10731077. doi: 10.3934/dcds.2003.9.1073 
[9] 
Yingshu Lü, Zhongxue Lü. Some properties of solutions to the weighted HardyLittlewoodSobolev type integral system. Discrete and Continuous Dynamical Systems, 2016, 36 (7) : 37913810. doi: 10.3934/dcds.2016.36.3791 
[10] 
Minzilia A. Sagadeeva, Sophiya A. Zagrebina, Natalia A. Manakova. Optimal control of solutions of a multipoint initialfinal problem for nonautonomous evolutionary Sobolev type equation. Evolution Equations and Control Theory, 2019, 8 (3) : 473488. doi: 10.3934/eect.2019023 
[11] 
Uriel Kaufmann, Humberto Ramos Quoirin, Kenichiro Umezu. A curve of positive solutions for an indefinite sublinear Dirichlet problem. Discrete and Continuous Dynamical Systems, 2020, 40 (2) : 817845. doi: 10.3934/dcds.2020063 
[12] 
José Francisco de Oliveira, João Marcos do Ó, Pedro Ubilla. HardySobolev type inequality and supercritical extremal problem. Discrete and Continuous Dynamical Systems, 2019, 39 (6) : 33453364. doi: 10.3934/dcds.2019138 
[13] 
Carlos Cabrera, Peter Makienko, Peter Plaumann. Semigroup representations in holomorphic dynamics. Discrete and Continuous Dynamical Systems, 2013, 33 (4) : 13331349. doi: 10.3934/dcds.2013.33.1333 
[14] 
Wei Dai, Zhao Liu, Guozhen Lu. HardySobolev type integral systems with Dirichlet boundary conditions in a half space. Communications on Pure and Applied Analysis, 2017, 16 (4) : 12531264. doi: 10.3934/cpaa.2017061 
[15] 
E. N. Dancer, Danielle Hilhorst, Shusen Yan. Peak solutions for the Dirichlet problem of an elliptic system. Discrete and Continuous Dynamical Systems, 2009, 24 (3) : 731761. doi: 10.3934/dcds.2009.24.731 
[16] 
Wenning Wei. On the CauchyDirichlet problem in a half space for backward SPDEs in weighted Hölder spaces. Discrete and Continuous Dynamical Systems, 2015, 35 (11) : 53535378. doi: 10.3934/dcds.2015.35.5353 
[17] 
Lev M. Lerman, Elena V. Gubina. Nonautonomous gradientlike vector fields on the circle: Classification, structural stability and autonomization. Discrete and Continuous Dynamical Systems  S, 2020, 13 (4) : 13411367. doi: 10.3934/dcdss.2020076 
[18] 
Xuewei Ju, Desheng Li, Jinqiao Duan. Forward attraction of pullback attractors and synchronizing behavior of gradientlike systems with nonautonomous perturbations. Discrete and Continuous Dynamical Systems  B, 2019, 24 (3) : 11751197. doi: 10.3934/dcdsb.2019011 
[19] 
Matteo Tanzi, LaiSang Young. Nonuniformly hyperbolic systems arising from coupling of chaotic and gradientlike systems. Discrete and Continuous Dynamical Systems, 2020, 40 (10) : 60156041. doi: 10.3934/dcds.2020257 
[20] 
John Villavert. Sharp existence criteria for positive solutions of HardySobolev type systems. Communications on Pure and Applied Analysis, 2015, 14 (2) : 493515. doi: 10.3934/cpaa.2015.14.493 
2020 Impact Factor: 1.392
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