PUBLICATIONS IN INTERNATIONAL SCIENTIFIC

JOURNALS WITH REFEREES

1. E. N. Petropoulou and P. D. Siafarikas, Bounded solutions and asymptotic stability of nonlinear difference equations in the complex plane, Arch. Math. (Brno), Vol. 36, No. 2 (2000), 139-158. 

2. E. N. Petropoulou, On some specific non-linear ordinary difference equations, Arch. Math. (Brno) (CDDE Issue), Vol. 36 (2000), 549-562.

3. E. N. Petropoulou and P. D. Siafarikas, Bounded solutions and asymptotic stability of nonlinear difference equations in the complex plane II, Comput. Math. Appl. (Special Issue: Advances in Difference Equations III), Vol. 42, No. 3-5 (2001), 427-452.

4. Ε. Ν. Petropoulou, Analytic solutions of a class of linear and non-linear functional equations,  J. Math. Anal. Appl., Vol. 261 (2001), 168-176. 

5. E. N. Petropoulou and P. D. Siafarikas, Bounded solutions of a class of linear delay and advanced partial difference equations, Dynam. Systems Appl., Vol. 10, No. 2 (2001), 243-260.

6. E. N. Petropoulou and P. D. Siafarikas, Solutions of non-linear delay and advanced partial difference equations in the space $\ell^{1}_{\mathbb{N}\times\mathbb{N}}$, Comput. Math. Appl. (Special Issue: Advances in Difference Equations IV), Vol. 45 (2003), 905-934.

7. E. N. Petropoulou, P. D. Siafarikas and I. D. Stabolas, On the common zeros of Bessel functions, J. Comput. Appl. Math. Vol. 153, No. 1-2 (2003), 387-393.

8. E. N. Petropoulou, Partial difference equations arising in numerical schemes and game theory, Appl. Math. Comput., Vol. 141, No. 1 (2003), 185-196.

9. E. N. Petropoulou and P. D. Siafarikas, Existence and uniqueness of solutions in $H_1(\Delta)$ of a general class of non-linear functional equations, J. Math. Anal. Appl., Vol. 279, No. 2 (2003), 452-463. [Erratum to "Existence and uniqueness of solutions in $H_1(\Delta)$ of a general class of non-linear functional equations, J. Math. Anal. Appl. 295 (2004), 287-289.]

10. E. N. Petropoulou and P. D. Siafarikas, Analytic solutions of some non-linear ordinary differential equations, Dynam. Systems Appl., 13 (2004), 283-316.

11. E. N. Petropoulou and P. D.Siafarikas, A functional-analytic method for the study of difference equations, Adv. Differ. Equat. 2004:3 (2004), 237-248.

12. E. N. Petropoulou and P. D. Siafarikas, Existence of complex $\ell_2$ solutions of linear delay systems of difference equations, J. Differ. Equat. Appl. 11 (1) (2005), 49-62.

13. E. N. Petropoulou, P. D. Siafarikas and I. D. Stabolas, Convexity results for the largest zero and functions involving the largest zero of $q-$ associated polynomials, Integral Transform. Spec. Funct., 16 (2) (2005), 171-178.

14. E. N. Petropoulou and P. D. Siafarikas, Analytic solutions of the Painleve equations,  Commun. Appl. Anal., 9 (3) (2005), 1-18.

15. E. N. Petropoulou, Existence and uniqueness of analytic solutions of the Shabat equation, Abst. Appl. Anal. 2005:8 (2005), 855-862.

16. E. N. Petropoulou and P. D. Siafarikas, Analytic bounded travelling wave solutions of some nonlinear equations, Chaos, Solitons and Fractals 33 (2007), 94-108.

17. E. N. Petropoulou, P. D. Siafarikas and E. E. Tzirtzilakis, A ``discretization" technique for the solution of ODEs, J. Math. Anal. Appl. 331 (2007) 279–296.

18. E. N. Petropoulou and P. D. Siafarikas, Polynomial solutions of linear partial differential equations, Commun. Pure Appl. Anal. 8 (3) (2009)
1053-1065.

19. E. N. Petropoulou, P. D. Siafarikas and I. D. Stabolas, Analytic bounded travelling wave solutions of some nonlinear equations II, Chaos, Solitons and Fractals 41 (2009), 803-810.

20. E. N. Petropoulou, P. D. Siafarikas and E. E. Tzirtzilakis, A ``discretization" technique for the solution of ODEs II, Numer. Funct. Anal. Optim. 30 (5-6) (2009) 613-631.

21. E. N. Petropoulou, On the eigenvalue problem of a class of linear partial difference equation, J. Differ. Equat. Appl. 16 (7) (2010), 879-893.

22. E. N. Petropoulou, On the complex zeros of some families of orthogonal polynomials, Abst. Appl. Anal. 2010, Article ID 263860, (2010), 14 pages.

23. E. N. Petropoulou, A discrete equivalent of the logistic equation, Adv. Differ. Equat. 2010, Article ID 457073 (2010), 15 pages.

24. E. N. Petropoulou and E. E. Tzirtzilakis, On the logistic equation in the complex plane, Numer. Funct. Anal. Optim. 34 (7) (2013), 770-790.

25. C. G. Kokologiannaki and E. N. Petropoulou, On the zeros of J'''ν(x)$, Integral Transform. Spec. Funct. 24 (7) (2013), 540-547.

26. D. Babusci, G. Dattoli, E. Di Palma and E. N. Petropoulou, The Humbert-Bessel functions, Stirling numbers and probability distributions in coincidence problems, Far East J. Math. Sci. (FJMS) (in press).