Applicable Analysis and Discrete Mathematics Vol. 8, No 2 (October, 2014)

Online version (ISSN 2406-100X) posted on September 25, 2014.

Printed version (ISSN 1452-8630) appeared on September 29, 2014.

• Title:

  ON THE GENERATION OF BIPARTITE GRIDS IN 2 AND 3 DIMENSIONAL REGIONS

  Authors:

  Fernando A. Morales, Mauricio A. Osorio

  Classification:

  2000 Mathematical Subject Classification: 65N50, 05C15

  Keywords:

  Keywords and phrases: Mesh Generation, Shape Measure, Numerical Applications

  Doi:

  DOI: 10.2298/AADM140812014M

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• Title:

  ASYMPTOTICS OF A RENEWAL-LIKE RECURSION AND AN INTEGRAL EQUATION

  Authors:

  Ágnes Backhausz, Tamás F. Móri

  Classification:

  2000 Mathematical Subject Classification: 34E10, 60K05

  Keywords:

  Keywords and phrases: Volterra differential equation of the second kind, nonconvolution type equation, renewal equation

  Doi:

  DOI: 10.2298/AADM140718010B

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• Title:

  DICHOTOMY AND POSITIVITY OF NEUTRAL EQUATIONS WITH NONAUTONOMOUS PAST

  Authors:

  Nguyen Thieu Huy, Pham Van Bang

  Classification:

  2000 Mathematical Subject Classification: 35R10, 47D06, 35B35

  Keywords:

  Keywords and phrases: Neutral partial functional differential equations, nonautonomous past, evolution semigroups, existence and uniqueness of solutions, hyperbolicity, positivity

  Doi:

  DOI: 10.2298/AADM140816015H

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• Title:

  ONLINE LOCAL VOLATILITY CALIBRATION BY CONVEX REGULARIZATION

  Authors:

  Vinicius Albani, Jorge P. Zubelli

  Classification:

  2000 Mathematical Subject Classification: 91G60, 65M32, 91B70

  Keywords:

  Keywords and phrases: Local Volatility Calibration, Convex Regularization, Online Estimation, Morozov's Principle, Convergence Rates

  Doi:

  DOI: 10.2298/AADM140811012A

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• Title:

  ON A FIRST-ORDER SEMIPOSITONE BOUNDARY VALUE PROBLEM ON A TIME SCALE

  Authors:

  Christopher S. Goodrich

  Classification:

  2000 Mathematical Subject Classification: 34B10, 34N05, 47H10

  Keywords:

  Keywords and phrases: Time scales, integral boundary condition, first-order boundary value prob- lem, cone, positive solution

  Doi:

  DOI: 10.2298/AADM140812013G

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• Title:

  RESTRICTED ASCENT SEQUENCES AND CATALAN NUMBERS

  Authors:

  David Callan, Toufik Mansour, Mark Shattuck

  Classification:

  2000 Mathematical Subject Classification: 05A15, 05A05

  Keywords:

  Keywords and phrases: Ascent sequence, Catalan number, Narayana number, Kernel method

  Doi:

  DOI: 10.2298/AADM140626007C

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• Title:

  SOME RESULTS FOR CARLITZ’S q-BERNOULLI NUMBERS AND POLYNOMIALS

  Authors:

  Yuan He

  Classification:

  2000 Mathematical Subject Classification: 11B68, 05A19

  Keywords:

  Keywords and phrases: Bernoulli numbers and polynomials, q-Bernoulli numbers and polynomials, Combinatorial identities

  Doi:

  DOI: 10.2298/AADM140626006H

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• Title:

  ASYMPTOTICALLY OPTIMAL INDUCED DECOMPOSITIONS

  Authors:

  Veronika Halász, Zsolt Tuza

  Classification:

  2000 Mathematical Subject Classification: 05C35, 05C70

  Keywords:

  Keywords and phrases: Induced subgraph, decomposition, complete multipartite graph, extremal graph theory

  Doi:

  DOI: 10.2298/AADM140718009H

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• Title:

  LAPLACIAN COEFFICIENTS OF UNICYCLIC GRAPHS WITH THE NUMBER OF LEAVES AND GIRTH

  Authors:

  Jie Zhang, Xiao-Dong Zhang

  Classification:

  2000 Mathematical Subject Classification: 05C50, 05C35

  Keywords:

  Keywords and phrases: Unicyclic graph, Laplacian coefficients, Laplacian-like energy, balanced starlike tree

  Doi:

  DOI: 10.2298/AADM140715008Z

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• Title:

  MORE ON THE NORMALIZED LAPLACIAN ESTRADA INDEX

  Authors:

  Yilun Shang

  Classification:

  2000 Mathematical Subject Classification: 05C50, 15A18, 05C05

  Keywords:

  Keywords and phrases: Normalized Laplacian Estrada index, bound, eigenvalue, fractal.

  Doi:

  DOI: 10.2298/AADM140724011S

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