Applicable Analysis and Discrete Mathematics Vol. 3, No 1 (April, 2009)

Electronic version posted on February 26, 2009.

Printed version appeared on March 2, 2009.

Gradimir V. Milovanović, Themistocles M. Rassias: D. S. MITRINOVIĆ – AN EMINENT MATHEMATICIAN AND A MASTER OF INEQUALITIES

2000 Mathematical Subject Classification: 01A70
Key words and phrases: .

doi:10.2298/AADM0901001M

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G.Isac: SOME SOLVABILITY THEOREMS FOR NONLINEAR EQUATIONS WITH APPLICATIONS TO PROJECTED DYNAMICAL SYSTEMS

2000 Mathematical Subject Classification: Primary: 47J25. Secondary: 37C25
Key words and phrases: Solvability theorems, nonlinear equations, projected dynamical systems.

doi:10.2298/AADM0901003I

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Jae-Young Chung: FUNCTIONAL EQUATIONS IN SCHWARTZ DISTRIBUTIONS AND THEIR STABILITIES

2000 Mathematical Subject Classification: 39B82, 46F10
Key words and phrases: d'Alembert equation, Pompeiu equation, logarithmic functional equation, distribution, Hyers-Ulam stability.

doi:10.2298/AADM0901014C

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Said R. Grace, Ravi P. Agarwal, and John R. Graef: OSCILLATION CRITERIA FOR CERTAIN THIRD ORDER NONLINEAR DIFFERENCE EQUATIONS

2000 Mathematical Subject Classification: 34A10
Key words and phrases: Difference equation, oscillation, nonoscillation, comparison.

doi:10.2298/AADM0901027G

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Michael Frank, Pasc Gavruta and Mohammad Sal Moslehian: SUPERSTABILITY OF ADJOINTABLE MAPPINGS ON HILBERT C*-MODULES

2000 Mathematical Subject Classification: 46L08, 47B48, 39B52, 46L05
Key words and phrases: Hyers–Ulam–Rassias stability, superstability, Hilbert C*-module, C*-algebra, f-perturbation of an adjointable mapping.

doi:doi:10.2298/AADM0901039F

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Edward Neuman, Jozsef Sandor: COMPANION INEQUALITIES FOR CERTAIN BIVARIATE MEANS

2000 Mathematical Subject Classification: Primary: 26D15. Secondary:26D99.
Key words and phrases: Bivariate means, inequalities, monotonicity..

doi:10.2298/AADM0901046N

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Fred Richman, Katarzyna Winkowska-Nowak: Transient limits

2000 Mathematical Subject Classification: Primary 60J10, Secondary 40A05
Key words and phrases: Markov chain, transient limit.

doi:10.2298/AADM0901052R

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Hansjorg Albrecher, Jozef L. Teugels and Klaus Scheicher: A COMBINATORIAL IDENTITY FOR A PROBLEM IN ASYMPTOTIC STATISTICS

2000 Mathematical Subject Classification: Primary 05A15; Secondary 62G20
Key words and phrases: Asymptotic behavior, generating functions, continued fraction, regularly varying functinos, enumeration problems.

doi:10.2298/AADM0901064A

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J. Rubio-Massegu, J. L. Dıaz-Barrero: ZERO AND COEFFICIENT INEQUALITIES FOR STABLE POLYNOMIALS

2000 Mathematical Subject Classification: 12D10, 26C10, 26D15
Key words and phrases: Zeros and coefficients, stable polynomials, inequalities in the complex plane, bounds of the zeros.

doi:10.2298/AADM0901069R

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M. Mejri: q-EXTENSION OF SOME SYMMETRICAL AND SEMI-CLASSICAL ORTHOGONAL POLYNOMIALS OF CLASS ONE

2000 Mathematical Subject Classification: 42C05, 33C45
Key words and phrases: q-difference operator, Hq-semi-classical polynomials.

doi:10.2298/AADM0901078M

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B. Drašćić Ban, T.K. Pogány: DISCRETE HILBERT TYPE INEQUALITY WITH NON-HOMOGENEOUS KERNEL

2000 Mathematical Subject Classification: Primary 26D15; Secondary 40B05, 40G99
Key words and phrases: Discrete Hilbert type inequality, Dirichlet–series, Hölder inequality, Jacobi Theta function, non-homogeneous kernel.

doi:10.2298/AADM0901088B

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Vesna Manojlović: ON CONFORMALLY INVARIANT EXTREMAL PROBLEMS

2000 Mathematical Subject Classification: 30C75
Key words and phrases: Conformal invariants, hyperbolic-type metrics, moduli of continuity.

doi:10.2298/AADM0901097M

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Saeid Alikhani, Yee-hock Peng: CHROMATIC ZEROS AND THE GOLDEN RATIO

2000 Mathematical Subject Classification: 05C15, 11B39
Key words and phrases: Chromatic Zero, Fibonacci Numbers, Golden Ratio.

doi:10.2298/AADM0901120A

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Alois Panholzer, Helmut Prodinger: BIJECTIONS BETWEEN CERTAIN FAMILIES OF LABELLED AND UNLABELLED d-ARY TREES

2000 Mathematical Subject Classification: 05C05, 05A15
Key words and phrases: labelled trees, d-ary trees, bijections.

doi:10.2298/AADM0901123P

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Aparna Lakshmanan S., A. Vijayakumar: CLIQUE IRREDUCIBILITY AND CLIQUE VERTEX IRREDUCIBILITY OF GRAPHS

2000 Mathematical Subject Classification: 05C99
Key words and phrases: Clique vertex irreducible graphs, clique irreducible graphs, noncomplete extended p-sum (NEPS), cographs, distance hereditary graphs.

doi:10.2298/AADM0901137L

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Jianxi Li, Wai Chee Shiu, An Chang: On the Laplacian Estrada Index of a Graph

2000 Mathematical Subject Classification: 05C05, 05C90
Key words and phrases: Laplacian energy, Laplacian Estrada index, bound.

doi:10.2298/AADM0901147L

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Emanuele Munarini: CHARACTERISTIC, ADMITTANCE AND MATCHING POLYNOMIALS OF AN ANTIREGULAR GRAPH

2000 Mathematical Subject Classification: Primary: 05C50; Secondary: 05A15, 05C70
Key words and phrases: Maximally nonregular graphs, graph eigenvalues, graph energy, Chebyshev polynomials, Stirling numbers.

doi:10.2298/AADM0901157M

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