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1

Smoothness of the carrying simplex for discrete-time competitive dynamical systems: A characterization of neat embedding

Jifa Jiang, Janusz Mierczyński, Yi Wang

Journal:

Journal of Differential Equations

Year:

2009

Language:

english

File:

PDF, 623 KB

english, 2009

2

Exponential separation and principal Lyapunov exponent/spectrum for random/nonautonomous parabolic equations

Janusz Mierczyński, Wenxian Shen

Journal:

Journal of Differential Equations

Year:

2003

Language:

english

File:

PDF, 314 KB

english, 2003

3

Group actions on strongly monotone dynamical systems

Janusz Mierczyński, Peter Poláčik

Journal:

Mathematische Annalen

Year:

1989

Language:

english

File:

PDF, 581 KB

english, 1989

4

On Monotone Trajectories

Mierczynski, Janusz

Journal:

Proceedings of the American Mathematical Society

Year:

1991

Language:

english

File:

PDF, 242 KB

english, 1991

5

Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. I. General theory

Mierczyński, Janusz, Shen, Wenxian

Journal:

Transactions of the American Mathematical Society

Year:

2013

Language:

english

File:

PDF, 422 KB

english, 2013

6

Instability in Linear Cooperative Systems of Ordinary Differential Equations

Mierczyński, Janusz

Journal:

Year:

2017

Language:

english

File:

PDF, 469 KB

english, 2017

7

The Principal Spectrum for Linear Nonautonomous Parabolic PDEs of Second Order: Basic Properties

Janusz Mierczyński

Journal:

Journal of Differential Equations

Year:

2000

Language:

english

File:

PDF, 189 KB

english, 2000

8

Globally Positive Solutions of Linear Parabolic PDEs of Second Order with Robin Boundary Conditions

Janusz Mierczyński

Journal:

Journal of Mathematical Analysis and Applications

Year:

1997

Language:

english

File:

PDF, 238 KB

english, 1997

9

Globally Positive Solutions of Linear Parabolic Partial Differential Equations of Second Order with Dirichlet Boundary Conditions

Janusz Mierczyński

Journal:

Journal of Mathematical Analysis and Applications

Year:

1998

Language:

english

File:

PDF, 275 KB

english, 1998

10

Kolmogorov Vector Fields with Robustly Permanent Subsystems

Janusz Mierczyński, Sebastian J. Schreiber

Journal:

Journal of Mathematical Analysis and Applications

Year:

2002

Language:

english

File:

PDF, 97 KB

english, 2002

11

Uniform persistence for nonautonomous and random parabolic Kolmogorov systems

Janusz Mierczyński, Wenxian Shen, Xiao-Qiang Zhao

Journal:

Journal of Differential Equations

Year:

2004

Language:

english

File:

PDF, 453 KB

english, 2004

12

Uniqueness for quasimonotone systems with strongly monotone first integral

Janusz Mierczyński

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1997

Language:

english

File:

PDF, 254 KB

english, 1997

13

Lyapunov exponents and asymptotic dynamics in random Kolmogorov models

Janusz Mierczyński, Wenxian Shen

Journal:

Journal of Evolution Equations

Year:

2004

Language:

english

File:

PDF, 166 KB

english, 2004

14

Persistence in Forward Nonautonomous Competitive Systems of Parabolic Equations

Janusz Mierczyński, Wenxian Shen

Journal:

Journal of Dynamics and Differential Equations

Year:

2011

Language:

english

File:

PDF, 294 KB

english, 2011

15

Global convergence in systems of differential equations arising from chemical reaction networks

Murad Banaji, Janusz Mierczyński

Journal:

Journal of Differential Equations

Year:

2013

Language:

english

File:

PDF, 754 KB

english, 2013

16

Strictly Cooperative Systems with a First Integral

Mierczyński, Janusz

Journal:

SIAM Journal on Mathematical Analysis

Year:

1987

Language:

english

File:

PDF, 565 KB

english, 1987

17

Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. II. Finite-dimensional systems

Mierczyński, Janusz, Shen, Wenxian

Journal:

Journal of Mathematical Analysis and Applications

Year:

2013

Language:

english

File:

PDF, 499 KB

english, 2013

18

Lower estimates of top Lyapunov exponent for cooperative random systems of linear ODEs

Mierczyński, Janusz

Journal:

Proceedings of the American Mathematical Society

Year:

2014

Language:

english

File:

PDF, 187 KB

english, 2014

19

Principal Lyapunov Exponents and Principal Floquet Spaces of Positive Random Dynamical Systems. III. Parabolic Equations and Delay Systems

Mierczyński, Janusz, Shen, Wenxian

Journal:

Journal of Dynamics and Differential Equations

Year:

2016

Language:

english

File:

PDF, 445 KB

english, 2016

20

New Type of Bottom Protection in Harbors—Design Method

Sawicki, Andrzej, Kulczykowski, Marek, Robakiewicz, Wojciech, Mierczyński, Jacek, Hauptmann, Janusz

Journal:

Journal of Waterway Port Coastal and Ocean Engineering

Year:

1998

Language:

english

File:

PDF, 613 KB

english, 1998

21

On Smoothness of Carrying Simplices

Janusz Mierczyński

Journal:

Proceedings of the American Mathematical Society

Year:

1999

Language:

english

File:

PDF, 272 KB

english, 1999

22

The C 1 property of convex carrying simplices for three-dimensional competitive maps

Mierczyński, Janusz

Journal:

Journal of Difference Equations and Applications

Year:

2018

Language:

english

File:

PDF, 1.13 MB

english, 2018

23

The property of convex carrying simplices for competitive maps

MIERCZYŃSKI, JANUSZ

Journal:

Ergodic Theory and Dynamical Systems

Year:

2018

Language:

english

File:

PDF, 295 KB

english, 2018

24

Linearization and invariant manifolds on the carrying simplex for competitive maps

Mierczyński, Janusz, Niu, Lei, Ruiz-Herrera, Alfonso

Journal:

Journal of Differential Equations

Year:

2019

Language:

english

File:

PDF, 485 KB

english, 2019