# Communications in Difference Equations

DOI link for Communications in Difference Equations

Communications in Difference Equations book

Proceedings of the Fourth International Conference on Difference Equations

# Communications in Difference Equations

DOI link for Communications in Difference Equations

Communications in Difference Equations book

Proceedings of the Fourth International Conference on Difference Equations

Edited BySaber N. Elaydi, Jerry Popenda, Jerry Rakowski

Edition 1st Edition

First Published 2000

eBook Published 6 July 2000

Pub. location London

Imprint CRC Press

Pages 428 pages

eBook ISBN 9780429153341

SubjectsMathematics & Statistics

Share

#### Get Citation

Elaydi, S. (Ed.), Popenda, J. (Ed.), Rakowski, J. (Ed.). (2000). Communications in Difference Equations. London: CRC Press, https://doi.org/10.1201/b16999

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 manï¿½fold is spanned by the eigenvectors â‚¬'(oX) Proof. u* F( u*) = u* , 2.4, ï¿½H(u*) = F'(u* ) . ï¿½H(u*) F'(u*f ï¿½H(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