Rostocker Mathematisches Kolloquium Heft 59 Stevo Stevi´ c Periodic Character of a Difference Equation 3 H.M El-Owaidy; A.M. Youssef; and A.M. Ahmed On the Dynamics of x n+1 =(bx 2 n−1 )(A + Bx n−2 ) −1 11 Isma Bouchemakh On the dual K¨onig property of the order- interval hypergraph of a new class of poset 19 Zeqing Liu; Jeong Sheok Ume; Shin Min Kang Strong Convergence and pseudo Stability for Operators of the φ-accretive type in uniformly smooth Banach Spaces 29 Cengiz C ¸ inar; Stevo Stevi´ c; Ibrahim Yalc ¸inkaya A Note on Global Asymptotic Stability of a Family of Rational Equations 41 B´ en´ edicte Alziary; Naziha Besbas Anti-Maximum Principle for a Schr¨odinger Equation in R N , with a non radial potential 51 Manfred Kr¨ uppel On the Zeros of an Infinitely Often Differen- tiable Function and their Derivatives 63 Alexander Meduna; Roman Luk´ aˇ s A Note on Iteratively Extendable Strings 71 Zolt´ an Boros; ´ Arp´ ad Sz´ az Finite and conditional completeness properties of generalized ordered sets 75 Yuguang Xu Iterative Processes with Random Errors for Fixed Point of Φ-Pseudocontractive Operator 87 Universit¨ at Rostock Institut f¨ ur Mathematik 2005