Anul XLVIII 2003

S T U D I A

UNIVERSITATIS BABEŞ-BOLYAI

MATHEMATICA

3

Redacţia: 400084 Cluj-Napoca, Str. M. Kogălniceanu nr. 1 Tel: 405300

SUMAR – CONTENTS – SOMMAIRE

Radu Precup, Professor Gheorghe Micula at his 60th Anniversary . . . . . . . . . . . . . . .. . 3

V. G. Angelov and L. Georgiev, A Comparison of two Systems Describing

Electromagnetic Two-Body Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11

Cezar Avramescu, General Existence Results for the Zeros of a Compact

Nonlinear Operator Defined in a Functional Space . . . . . . . . . . . . . . . . . . . . . . . . . . . 23

T. Baranyai, Some Applications of an Asymptotical Fixed Point Theorems

for Integral Equations with deviating Argument . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .27

Dan Bărbosu, Schurer-Stancu Type Operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31

Petru P. Blaga, Weighted Uniform Sampling Method Based on Spline

Functions . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .37

F. Calio, E. Marchetti, R. Pavani and G. Micula, About Some Volterra

Problems Solved by a Particular Spline Collocation . . . . . . . . . . . . . .. . . . . . . . . . . . . 45

Cristian Chifu-Oros, Minimum Value of a Matrix Norm with Applications

to Maximum Principles for Second Order Parabolic Systems . . . . . . . . . . . . . . . . . . .. 53

Gh. Coman and Ioana Pop, Some Interpolation Schemes on Triangle . . . . . . . . . . . . . 57

Rodica Covaci, A Characterization of π-Closed Schunck Classes . . . . . . . . . . . . . . . . 63

C. Dagnino, V. Demichelis and E. Santi, A Nodal Spline Collocation Method

for Weakly Singular Volterra Integral Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71

Vasile L. Lazar, Pricing Digital Call Option in the Heston Stochastic

Volatility Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83

Gh. Micula, E. Santi and M. G. Cimoroni, A Class of Even Degree Splines

Obtained Through a Minimum Condition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93

Sanda Micula, A Collocation Method for Solving the Exterior Neumann

Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105

Adrian Petruşel, Caristi Type Operators and Applications . . . . . . . . . . . . . . . . . . . . .115

Nicolae Pop, On the Convergence of the Solution of the Quasi-Static Contact

Problems with Friction Using the Uzawa Type Algorithm . . . . . . . . . . . . . . . . . . . . . 125

Adrian Revnic, Ronald H. W. Hoppe and Gustavo Sibona, The Numerical Analysis

of Some Systems of Differential Equations Arising from Molecular Dynamics . . . . . 133

Ioan A. Rus, Sorin Mureşan and Edith Miklos, Maximal Fixed Point

Structures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141

Szilard Andras, Weakly Singular Volterra and Fredholm-Volterra Integral

Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147