Serdica Mathematical Journal

Volume 25, Number 4, 1999


C O N T E N T S


A B S T R A C T S


A DIFFERENTIAL GAME DESCRIBED BY A HYPERBOLIC SYSTEM
Diko M. Souroujon

1991 Mathematics Subject Classification: 49N55.
Key words: differential game, e-Slater saddle point, e-Slater maximin and minimax, hyperbolic dynamic system, hyperbolic boundary-value problem, approximat model (scheme).


REPRESENTATIONS AND POSITIVE DEFINITE FUNCTIONS ON HYPERGROUPS
A. Nasr-Isfahani isfahani@math.ui.ac.ir

1991 Mathematics Subject Classification: Primary 43A65, 43A35. Secondary 43A62, 43A10.
Key words: Hypergroup, representation, positive definite function.


TOPOLOGICAL DICHOTOMY AND UNCONDITIONAL CONVERGENCE
Pascal Lefèvre lefevre@euler.univ-artois.fr

1991 Mathematics Subject Classification: 42A20, 42A55, 42C10, 43A46, 43A77.
Key words: Banach space, unconditional convergence, Sidon sets, quasi-sure convergence.


A CAUCHY INTEGRAL RELATED TO A ROBOT-SAFETY DEVICE SYSTEM
E. J. Vanderperre evanderperre@hotmail.com
S. S. Makhanov makhanov@siit.tu.ac.th

1991 Mathematics Subject Classification: 60K10.
Key words: robot, safety device, invariant measure, availability, risk-criterion.


NULL CONDITION FOR SEMILINEAR WAVE EQUATION WITH VARIABLE COEFFICIENTS
Fabio Catalano catalano@univaq.it

1991 Mathematics Subject Classification: 35L15.
Key words: wave equation, conformal group, energy estimates, hyperbolic rotations, nonlinear Cauchy problem, null condition, Sobolev spaces, Von Wahl estimates.


ALTERNATIVE CHARACTERIZATION OF THE CLASS k-UCV AND RELATED CLASSES OF UNIVALENT FUNCTIONS
Stanislawa Kanas skanas@prz.rzeszow.pl

1991 Mathematics Subject Classification: 30C45.
Key words: univalent functions, convex functions, starlike functions of order b, a-convex functions, uniformly convex functions, uniformly starlike functions, k-uniformly convex functions, k-starlike functions.


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