Serdica Mathematical Journal

Volume 21, Number 3, 1995


C O N T E N T S


A B S T R A C T S


SOLUTIONS OF ANALYTICAL SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS
K. Trencevski

1991 Mathematics Subject Classification: 35C10, 35F05, 35F20.
Key words: linear analytical systems, non-linear analytical systems, partial differential equations, compatibility conditions.


SUFFICIENT CONDITIONS OF OPTIMALITY FOR CONTROL PROBLEMS GOVERNED BY VARIATIONAL INEQUALITIES
James Louis Ndoutoume

1991 Mathematics Subject Classification: 49B99, 49A29.
Key words: set-valued mapping, proto-derivative, subgradient operator, pseudo-convexity, closed convex process, optimality condition, variational inequality.


MEAN-PERIODIC SOLUTIONS OF RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS
Dimitar Tsvetkov

1991 Mathematics Subject Classification:34K05, 34K15.
Key words: mean-periodic, retarded functional differential equations, spectral-mapping theorems.


ON A TWO-DIMENSIONAL SEARCH PROBLEM
Emil Kolev emil@moi.math.bas.bg
Ivan Landgev ivan@moi.math.bas.bg

1991 Mathematics Subject Classification: 05A05.
Key words: two-dimensional search problem.


NEW UPPER BOUNDS FOR SOME SPHERICAL CODES
Peter Boyvalenkov peter@moi.math.bas.bg
Peter Kazakov

1991 Mathematics Subject Classification: 94B65, 52C17, 05B40.
Key words: spherical codes, linear programming bounds, distance distribution.


DEFORMATION LEMMA, LJUSTERNIK-SCHNIRELLMANN THEORY AND MOUNTAIN PASS THEOREM ON C1-FINSLER MANIFOLDS
Nadezhda Ribarska ribarska@fmi.uni-sofia.bg
Tsvetomir Tsachev tsachev@math.bas.bg
Michail Krastanov krast@math.bas.bg

1991 Mathematics Subject Classification:58E05.
Key words: deformation lemma, Ljusternik-Schnirelmann theory, mountain pass theorem, C1-Finsler manifold, locally Lipschitz functions.


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