Serdica Mathematical Journal

Volume 45, Number 2, 2019





C O N T E N T S

Preface (pp. i-ii)
Stanev, M. At. Log-convexity of weighted area integral means of Hp functions on the upper half-plane (pp. 89−120)
Beliaeva, M. Some mathematical problems in cancer research (pp. 121−132)
Choban, M. M. Countably compactness and Baire space property (pp. 133−142)
Boyadzhiev, G., N. Kutev. Comparison principle for weakly-coupled non-cooperative elliptic and parabolic systems (pp. 143−166)
Drensky, V. Varieties of bicommutative algebras (pp. 167−188)


A B S T R A C T S


LOG-CONVEXITY OF WEIGHTED AREA INTEGRAL MEANS OF Hp FUNCTIONS ON THE UPPER HALF-PLANE
Martin At. Stanev martin_stanev@yahoo.com

2010 Mathematics Subject Classification: 30H10, 30H20.
Key words: log-convexity,weighted area integral means,holomorphic function,upper half-plane.


SOME MATHEMATICAL PROBLEMS IN CANCER RESEARCH
Mariia Beliaeva maria.beljaeva29@gmail.com

2010 Mathematics Subject Classification: 92C50, 97M60, 62P10.
Key words: cancer mathematical models, mistakes, multistage model, carcinogenesis, Bad Luck theory.


COUNTABLY COMPACTNESS AND BAIRE SPACE PROPERTY
Mitrofan M. Choban mmchoban@gmail.com

2010 Mathematics Subject Classification: 54D20, 54D45, 54G15, 54A25.
Key words: τ-bounded sets, τ-closure, P-space, Stone-Čech compactification, Baire space, meager space.


COMPARISON PRINCIPLE FOR WEAKLY-COUPLED NON-COOPERATIVE ELLIPTIC AND PARABOLIC SYSTEMS
Georgi Boyadzhiev gpb@math.bas.bg,
Nikolay Kutev kutev@math.bas.bg

2010 Mathematics Subject Classification: 35J47, 35K40.
Key words: Comparison principle, elliptic systems, parabolic systems, cooperative and non-cooperative systems.


VARIETIES OF BICOMMUTATIVE ALGEBRAS
Vesselin Drensky drensky@math.bas.bg

2010 Mathematics Subject Classification: 17A30, 17A50, 20C30.
Key words: Free bicommutative algebras, varieties of bicommutative algebras, codimension sequence, codimension growth, two-dimensional algebras.


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