ABSTRACT
This collection of carefully refereed and edited papers were originally presented at the Fourth International Conference on Difference Equations held in Poznan, Poland. Contributions were from a diverse group of researchers from several countries and featured discussions on the theory of difference equations, open problems and conjectures, as well
TABLE OF CONTENTS
chapter |3 pages
Assume that the fixed point u* is not a critical point of
assuming that the eigenvalues are distinct, the local stable/unstable/center man�fold is spanned by the eigenvectors €'(oX) Proof. u* F( u*) = u* , 2.4, �H(u*) = F'(u* ) . �H(u*) F'(u*f �H(u*) =
chapter |15 pages
traveling wave
0 (or 0, we have the so called t) (3) , we see that (3) has a positive traveling wave solution
chapter |5 pages
[4] ) Let A(t) be a continuous complex matrix
-00. ) Let A(t) be a continuous complex matrix function on [0, 00). Suppose that l iz
chapter |1 pages
SPATIAL DISCRETIZATION OF PULLBACK ATTRACTORS OF NONAUTONOMOUS DIFFERENCE EQUATIONS P. KLOEDEN D-60054 Frankfurt am Main, Germany
FB Mathematik, Johann Wolfgang Goethe Universitat,
chapter |3 pages
) . .
, the set of two-sided infinite sequences P = {i with components ij E { , 2, N} for j E and en as the corresponding nth shift operator on P, i .e . en{ij } = {ij+n } . Define for each p The mapping <P so defined is a
chapter 1|2 pages
) and b O
Applying this condition to the iterates of '"'1 0 and radius n2:0 The positive invariance of Bo, i .e . follows from the dissipativity condition (8) because '"'I b '"'I
chapter |34 pages
(to appear)
[7] P. E. Kloeden, H. Keller and B. SchmalfuB, Towards a theory of random numerical dynamics. In Random Dynamical . Editors: M. Gundlach and W. Kliemann. Springer-Verlag, 1998 . P.E. Kloeden and B. SchmalfuB, Lyapunov functions and
