Applicable Analysis and Discrete Mathematics Vol. 3, No 2 (October, 2009)

Online version (ISSN 2406-100X) posted on August 26, 2009.

Printed version (ISSN 1452-8630) appeared on August 31, 2009.

• Title:

  AN EXTENSION OF A NORM INEQUALITY FOR A SEMI-DISCRETE gλ* FUNCTION

  Authors:

  Caroline Sweezy

  Classification:

  2000 Mathematical Subject Classification: 42B25, 35J25

  Keywords:

  Keywords and phrases: minimal smoothness, semi-discrete Littlewood-Paley type inequalities, good-λ inequalities, strictly elliptic operators, non-smooth bounded domains

  Doi:

  DOI: 10.2298/AADM0902177S

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• Title:

  ON TRACES OF HOLOMORPHIC FUNCTIONS ON THE UNIT POLYBALL

  Authors:

  ROMI F. SHAMOYAN, OLIVERA R. MIHIĆ

  Classification:

  2000 Mathematical Subject Classification: 32A18

  Keywords:

  Keywords and phrases: holomorphic functions, trace problem, Bergman, Bloch classes on polyballs, Bergman type projection

  Doi:

  DOI: 10.2298/AADM0902198S

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• Title:

  ON THE COMPOSITION OF THE DISTRIBUTIONS $x_+^{-s}lm^mx_+$ and $x_+^mu$

  Authors:

  Brian Fisher

  Classification:

  2000 Mathematical Subject Classification: 46F10

  Keywords:

  Keywords and phrases: Distribution, delta-function, composition of distributions, neutrix, neutrix limit

  Doi:

  DOI: 10.2298/AADM0902212F

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• Title:

  FIXED POINT INDEX FOR COMPOSITE TYPE MAPS

  Authors:

  Donal O'Regan

  Classification:

  2000 Mathematical Subject Classification: 47H10

  Keywords:

  Keywords and phrases: Index theory, compact absorbing contractions

  Doi:

  DOI: 10.2298/AADM0902224O

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• Title:

  BANACH CONTRACTION PRINCIPLE ON CONE RECTANGULAR METRIC SPACES

  Authors:

  Akbar Azam, Muhammad Arshad, Ismat Beg

  Classification:

  2000 Mathematical Subject Classification: 47H10, 54H25

  Keywords:

  Keywords and phrases: Fixed point, contraction mapping principle, cone rectangular metric space, cone metric space

  Doi:

  DOI: 10.2298/AADM0902236A

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• Title:

  Oscillation and boundedness of solutions to first and second order forced functional dynamic equations with mixed nonlinearities

  Authors:

  Martin Bohner, Taher S. Hassan

  Classification:

  2000 Mathematical Subject Classification: 39A10

  Keywords:

  Keywords and phrases: Dynamic equation, time scales, oscillations, mixed nonlinear, non-homogeneous

  Doi:

  DOI: 10.2298/AADM0902242B

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• Title:

  Oscillation criteria for first order forced dynamic equations

  Authors:

  Lynn Erbe, Taher Hassan, Allan Peterson

  Classification:

  2000 Mathematical Subject Classification: 34C10, 34K11

  Keywords:

  Keywords and phrases: equation, first order, oscillation

  Doi:

  DOI: 10.2298/AADM0902253E

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• Title:

  Stability of homomorphisms and $(theta,phi)$-derivations

  Authors:

  Abbas Najati, Themistocles M Rassias

  Classification:

  2000 Mathematical Subject Classification: 39B72, 47H09

  Keywords:

  Keywords and phrases: Generalized metric space, fixed point, stability, Banach algebra, semiprime ring, Jordan derivation, generalized Jordan derivation

  Doi:

  DOI: 10.2298/AADM0902264N

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• Title:

  Eigenvalues, eigenfunctions and Green's Functions on a Path via Chebyshev Polynomials

  Authors:

  E. Bendito, A. M. Encinas, A. Carmona

  Classification:

  2000 Mathematical Subject Classification: 39A12, 34B45, 05E35

  Keywords:

  Keywords and phrases: Discrete Schrödinger operator, Paths, Green's Function, eigenvalues, Chebyshev Polynomials

  Doi:

  DOI: 10.2298/AADM0902282B

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• Title:

  LIMIT DISTRIBUTION OF ASCENT, DESCENT OR EXCEDANCE LENGTH SUMS OF PERMUTATIONS

  Authors:

  Lane Clark

  Classification:

  2000 Mathematical Subject Classification: 05A10, 60F05

  Keywords:

  Keywords and phrases: ascents, descents, excedances, length sums, central limit theorems

  Doi:

  DOI: 10.2298/AADM0902303C

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• Title:

  δ-FIBONACCI NUMBERS

  Authors:

  Roman Witula, Damian Slota

  Classification:

  2000 Mathematical Subject Classification: 11B39, 11B83, 11A07, 39A10

  Keywords:

  Keywords and phrases: Fibonacci numbers, Lucas numbers

  Doi:

  DOI: 10.2298/AADM0902310W

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• Title:

  CHROMATIC ZEROS AND GENERALIZED FIBONACCI NUMBERS

  Authors:

  Saeid Alikhani, Yee-hock Peng

  Classification:

  2000 Mathematical Subject Classification: 05C15, 11B39

  Keywords:

  Keywords and phrases: Chromatic Zero; Fibonacci Numbers; n-anacci constants

  Doi:

  DOI: 10.2298/AADM0902330A

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• Title:

  SOME FORMULAS FOR APOSTOL-EULER POLYNOMIALS ASSOCIATED WITH HURWITZ ZETA FUNCTION AT RATIONAL ARGUMENTS

  Authors:

  Qiu-Ming Luo

  Classification:

  2000 Mathematical Subject Classification: Primary 11M35; Secondary 11B68

  Keywords:

  Keywords and phrases: Apostol-Bernoulli polynomials, Apostol-Euler polynomials, Hurwitz Zeta function, Hurwitz-Lerch Zeta function, Lerch's functional equation

  Doi:

  DOI: 10.2298/AADM0902336L

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• Title:

  Hypergraph domination and strong independence

  Authors:

  Bibin K. Jose, Zsolt Tuza

  Classification:

  2000 Mathematical Subject Classification: 05C65, 05C69

  Keywords:

  Keywords and phrases: Balanced hypergraph, strongly independent set, inverse domination number, independent domination number, disjoint domination number

  Doi:

  DOI: 10.2298/AADM0902347J

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• Title:

  FRACTIONAL EDGE DOMINATION IN GRAPHS

  Authors:

  S. Arumugam, Sithara Jerry

  Classification:

  2000 Mathematical Subject Classification: 05C69

  Keywords:

  Keywords and phrases: edge dominating function, edge irredundant function, edge independent function

  Doi:

  DOI: doi:10.2298/AADM0902359A

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• Title:

  MORE ON THE LAPLACIAN ESTRADA INDEX

  Authors:

  Bo Zhou, Ivan Gutman

  Classification:

  2000 Mathematical Subject Classification: 05C50

  Keywords:

  Keywords and phrases: Spectrum (of graph), Laplacian spectrum (of graph), Estrada index, Laplacian Estrada index

  Doi:

  DOI: 10.2298/AADM0902371Z

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• Title:

  A SHARP LOWER BOUND OF THE SPECTRAL RADIUS OF SIMPLE GRAPHS

  Authors:

  Shengbiao Hu

  Classification:

  2000 Mathematical Subject Classification: 05C50

  Keywords:

  Keywords and phrases: Eigenvalues, Spectral radius, Lower bound, Trees

  Doi:

  DOI: 10.2298/AADM0902379H

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• Title:

  Hamiltonian Paths in Odd Graphs

  Authors:

  Letícia R. Bueno, Luerbio Faria, Celina M. H. de Figueiredo, Guilherme D. da Fonseca

  Classification:

  2000 Mathematical Subject Classification: 05C10, 05C45, 05C70

  Keywords:

  Keywords and phrases: Hamilton path, odd graphs, Kneser graphs, middle levels problem

  Doi:

  DOI: 10.2298/AADM0902386B

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