with E. Yanagida,
Nonstabilizing solutions and grow-up set for a supercritical  semilinear diffusion equation.
Differential Integral Equations, 17 (2004), 535-548.
Abstract 

with E. Yanagida,
On bounded and unbounded global solutions of a supercritical semilinear heat equation.
Math. Ann. 327 (2003), 745-771.
Abstract

with V. Hutson, Y. Lou and K. Mischaikow,
Competing species near a degenerate limit.
SIAM J. Math. Analysis 35 (2003), 453-491.
Abstract

On  $L^1$-heteroclinic solutions of a semilinear parabolic equation,
Proceedings of the Conference on Nonlinear Partial Differential Equations:
Diffusion, Cross-diffusion and Related Topics", Ryukoku 2002; Y. Morita et al. (eds.),
Ryukoku University,  Ryukoku 2003, pp.  62-68.
Abstract

with J. Busca and M.-A. Jendoubi,
Convergence to equilibrium for semilinear parabolic problems in $\R^N$.
Comm. Partial Differential Equations 27 (2002), 1793-1814.
 Abstract

with F. Simondon,
Nonconvergent bounded solutions of semilinear heat equations  on arbitrary domains,
J. Differential Equations 186 (2002), 586-610.
Abstract

Some common asymptotic properties of semilinear  parabolic, hyperbolic
and elliptic equations, Proc. Equadiff 10, Math. Bohemica 127 (2002), 301-310.
Abstract

with M. Fila and H. Matano,
Existence of $L^1$-connections between equilibria of a semilinear
parabolic equation. J. Dynam. Differential Equations 14 (2002), 463-491.
Abstract

Parabolic  equations:  asymptotic  behavior  and  dynamics  on  invariant  manifolds
(survey). Handbook on Dynamical Systems vol. 2,   B. Fiedler (ed.), Elsevier,
Amsterdam 2002, pp. 835-883.
Abstract

with E. Yanagida,
Stable subharmonic solutions of reaction-diffusion equations on an arbitrary domain.
Discrete Contin. Dynam. Systems 8 (2002), 209-218.
Abstract

with V. Hutson and K. Mischaikow,
The evolution of dispersal rates in a heterogeneous time-periodic environment.
J. Math. Biology 43 (2001), 501-533.
Abstract

Morse indices and bifurcations of positive  solutions of $\Delta u+f(u)=0$ on $R^N$.
Indiana Univ. Math. J. 50 (2001), 1407-1432.
Abstract

with W.-M. Ni and E. Yanagida,
Monotonicity of stable solutions in shadow systems.
Trans. Amer. Math. Soc.  353 (2001), 5057-5069.
Abstract

with E. Yanagida,
Existence of stable subharmonic solutions for reaction-diffusion  equations,
J. Differential Equations 169 (2001),  255-280.
Abstract

Stable subharmonic solutions of  reaction-diffusion equations,
Proc. of  Equadiff 99 ,   B. Fiedler, K. Groger, J. Sprekels (eds),
World Scientific, Singapore, 2000, pp. 722-725.
Abstract

with E. Yanagida,
Stable subharmonic solutions and asymptotic behavior in reaction-diffusion
equations, E. J. Qualitative Theory  Diff. Equations 2000:  Proc. 6th Colloquium
on  Qualitative Properties of Differential Equations No. 22. (2000), pp. 1-10.
Abstract

with E. Feireisl,
Structure  of  periodic   solutions and  asymptotic  behavior  for  time- periodic
reaction-diffusion equations on R, Adv. Differential Equations  5 (2000), 583-622.
Abstract

On the dynamics of scalar parabolic equations,
in: New Trends in Nonlinear Partial Differential Equations, Y. Morita et al. (eds.),
Ryukoku University,  Ryukoku 2000, pp. 32-45.
Abstract

 with M. Fila,
 Global nonexistence without blow-up  for an evolution problem,
 Math. Zeitschrift  232 (1999),  531-545.
 Abstract

Persistent saddle-connection in a class of  reaction-diffusion equations,  J. Differential  Equations 156 (1999), 182-210. Abstract

with M. Fila,  Global solutions of a semilinear  parabolic equation,  Adv.   Differential  Equations 4 (1999), 163-196. Abstract

with E. N. Dancer,  Realization of vector fields and dynamics of   spatially  homogeneous   parabolic equations,  Mem. Amer. Math. Soc.  140 (1999), viii+82. Abstract

with P. Brunovsky,  Morse-Smale structure of a generic reaction diffusion equation in higher  space  dimension, J. Differential  Equations. 135 (1997), 129-181 . Abstract

Reaction-diffusion equations and realization of gradient vector  fields,  Proc. EQUADIFF 95, L. Magalhaes, C. Rocha  and L. Sanchez (eds.), World Scientific,  Singapore 1998, 197-206 . Abstract

with  P. Brunovsky, On the local structure of $\omega$-limit sets of maps, J. Appl. Math. Physics (ZAMP) 48 (1997), 976-986. Abstract with X.-Y. Chen,  Asymptotic periodicity of positive solutions of reaction-diffusion equations on a ball,  J. reine angew. Math. 472 (1996), 17-51. Abstract

with V.  Sosovicka,  Stable periodic solutions of a spatially homogeneous nonlocal reaction-diffusion equation,  Proc. Royal Soc. Edinburgh 126A (1996), 867-884. Abstract

with K. P. Rybakowski,  Nonconvergent bounded trajectories in semilinear heat equations,  J. Differential  Equations., 124 (1996), 472-494. Abstract

with K. P. Rybakowski,  Imbedding vector fields into Dirichlet BVPs,  Annali Scuola Norm. Sup. Pisa XXI (1995), 737-749. Abstract

Realization of dynamics of ODE's in scalar parabolic PDE's,  Equadiff 8, Bratislava 1993, Tatra Mountains Math. Publ. 4 (1994), pp. 179-185. Abstract

Transversal and nontransversal intersection of stable  and unstable manifolds of reaction-diffusion  equations on symmetric domains,  Differential Integral Equations 7 (1994), 1527-1545. Abstract

with X.-Y. Chen,  Gradient-like structure and Morse decompositions  for time periodic one-dimensional parabolic equations, J. Dynam. Differential Equations. 7 (1995), 73-107. Abstract

with P. Hess,  Symmetry and convergence properties for nonnegative solutions of nonautonomous   reaction- diffusion problems,  Proc. Royal Soc. Edinburgh 124A (1994), 573-587. Abstract

with A. Haraux, Convergence to a positive equilibrium for some nonlinear evolution equations, Acta Math. Univ. Comenianae, LXI  (1992), 129-141  Abstract

High-dimensional $\omega$-limit sets and chaos in scalar parabolic equations,  J. Differential  Equations. 119 (1995), 24-53  Abstract

Dynamics of scalar parabolic equations,  in: Proc. Equadiff 1991, C. Perell\'o, C. Sim\'o, J. Sola-Morales    (eds.),  World Scientific, London 1993, pp 215-224

with I. Terescak,  Exponential separation and invariant bundles for maps in ordered Banach spaces  with applications to parabolic equations,  J. Dynam. Differential Equations. 5 (1993), 279-303. Abstract

with P. Hess,  Boundedness of prime periods of stable cycles and convergence to fixed points in discrete  monotone dynamical systems, SIAM J. Math. Anal. 24 (1993), 1312-1330  Abstract

with P. Brunovsky, X. Mora and J. Sola-Morales, Asymptotic behavior of  semilinear elliptic equations on  an unbounded strip,  Acta. Math. Univ. Comenianae LX (1991), 163-183

owith. I. Terescak, Convergence to cycles as a typical asymptotic  behavior in smooth strongly  monotone  discrete-time dynamical systems,  Arch. Rational Mech. Anal. 116 (1991), 339-360. Abstract

Realization of any finite jet in a scalar semilinear parabolic equation  on the ball in $R^3$,  Ann. Scuola  Norm. Sup. Pisa, XVIII (1991), 83-102

Imbedding of any vector field in a scalar semilinear parabolic equations,  Proc. Amer. Math. Soc. 115 (1992), 1001-1008.  Abstract

with P. Brunovsk\'y and B. Sandstede, Convergence in general periodic parabolic equations in one space  dimension,  Nonlinear Analysis, TMA, 18 (1992),  209-215  Abstract

Complicated dynamics in scalar semilinear parabolic equations in higher   space dimension,  J.  Differential Equations 89 (1991), 244-271

Existence of unstable sets for invariant sets in compact semiflows.  Applications in order-preserving  semiflows,  Comm. Math. Univ. Carolinae  31 (1990), 263-276

with B. Fiedler,  Complicated dynamics of scalar reaction diffusion equations with a nonlocal term,  Proc. Royal Soc. Edinburgh, 115  (1990), 263-276.

Domains of attraction of equilibria and monotonicity properties of  convergent  trajectories  in   parabolic  systems admitting strong comparison principle,  J. reine angew. Math. 400 (1989), 32-56.

Generic properties of strongly monotone semiflows defined by ordinary  and parabolic  differential equations,  in: Colloquia Mathematica Soc.  J. Bolyai 53, North-Holland, Budapest 1990, pp. 519-530.

Convergence in smooth strongly monotone flows defined by semilinear  parabolic equations,  J. Differential Equations  79 (1989), 89-110.

with J. Mierczynski,  Group actions on strongly monotone dynamical  systems, Math. Ann. 283 (1989), 1-11.

with P. Brunovsk\'y, Generic hyperbolicity for    reaction-diffusion    equations on symmetric domains,  J. Applied Math. Physics (ZAMP) 38    (1987), 172-183.

Generic hyperbolicity in one-dimensional   reaction-diffusion equation   with general boundary conditions, Nonlinear Analysis, TMA, 11 (1987), 593-597.

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