Applicable Analysis and Discrete Mathematics Vol. 6, No 2 (October, 2012)

Online version (ISSN 2406-100X) posted on August 27, 2012.

Printed version (ISSN 1452-8630) appeared on August 31, 2012.

• Title:

  Positive Solutions of Differential Equations with Unbounded Green's Kernel

  Authors:

  John R. Graef, Seshadev Padhi, Smita Pati, P. K. Kar

  Classification:

  2000 Mathematical Subject Classification: 34C25, 34C15

  Keywords:

  Keywords and phrases: Positive periodic solutions, multiple periodic solutions, Allee effect

  Doi:

  DOI: 10.2298/AADM120418011G

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• Title:

  NONLOCAL SYSTEMS OF BVPS WITH ASYMPTOTICALLY SUBLINEAR BOUNDARY CONDITIONS

  Authors:

  Christopher S. Goodrich

  Classification:

  2000 Mathematical Subject Classification: 34B09, 34B10, 34B15, 34B18, 47H07, 47H10

  Keywords:

  Keywords and phrases: Coupled system of second-order boundary value problems, nonlocal boundary condition, nonlinear boundary condition, eigenvalue, positive solution

  Doi:

  DOI: 10.2298/AADM120329010G

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• Title:

  THE SECOND ORDER ESTIMATE FOR THE SOLUTION TO A SINGULAR ELLIPTIC BOUNDARY VALUE PROBLEM

  Authors:

  Ling Mi, Bin Liu

  Classification:

  2000 Mathematical Subject Classification: 35J25, 35J65

  Keywords:

  Keywords and phrases: Semilinear elliptic equations, the unique solution, singular Dirichlet problem, the second order estimate, Karamata regular variation theory

  Doi:

  DOI: 10.2298/AADM120713018M

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• Title:

  ON THE CAUCHY PROBLEM ASSOCIATED TO THE BRINKMAN FLOW IN R^n

  Authors:

  Michel Molina Del Sol, Eduardo Arbieto Alarcón, Rafael José Iorio Junior

  Classification:

  2000 Mathematical Subject Classification: 35A01, 35B51, 76D07

  Keywords:

  Keywords and phrases: Brinkman Equation, Cauchy Problem, Comparison Principle, Parabolic Regularization

  Doi:

  DOI: 10.2298/AADM120604013M

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• Title:

  LIE SYMMETRIES AND NOETHER SYMMETRIES

  Authors:

  PGL Leach

  Classification:

  2000 Mathematical Subject Classification: 70H03, 70H33, 70H25

  Keywords:

  Keywords and phrases: Noether integral, Lie symmetry, Calculus of Variations

  Doi:

  DOI: 10.2298/AADM120625015L

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• Title:

  CHARACTERIZATIONS OF PARTIAL METRIC COMPLETENESS IN TERMS OF WEAKLY CONTRACTIVE MAPPINGS HAVING FIXED POINT

  Authors:

  Ishak Altun, Salvador Romaguera

  Classification:

  2000 Mathematical Subject Classification: 54H25, 47H10, 54E50

  Keywords:

  Keywords and phrases: Partial metric, complete, 0-complete, w-distance, weakly contraction

  Doi:

  DOI: 10.2298/AADM120322009A

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• Title:

  NONLINEAR GENERALIZED CONTRACTIONS ON MENGER PM SPACES

  Authors:

  Nataša A. Babačev

  Classification:

  2000 Mathematical Subject Classification: 47H10, 54E70

  Keywords:

  Keywords and phrases: Probabilistic metric spaces, Fixed point, Nonlinear generalized contractive type conditions, $Phi$-functions

  Doi:

  DOI: 10.2298/AADM120526012B

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• Title:

  FIXED POINT THEORY FOR MULTIVALUED GENERALIZED NONEXPANSIVE MAPPINGS

  Authors:

  Jesus Garcia-Falset, Enrique Llorens-Fuster, Elena Moreno Galvez

  Classification:

  2000 Mathematical Subject Classification: 47H10, 47H04, 46B20

  Keywords:

  Keywords and phrases: Multivalued mappings, generalized nonexpansive mappings, asymptotic centers, fixed points, normal structure.

  Doi:

  DOI: 10.2298/AADM120712017G

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• Title:

  FUSION FRAMES AND G-FRAMES IN TENSOR PRODUCT AND DIRECT SUM OF HILBERT SPACES

  Authors:

  Amir Khosravi, M. Mirzaee Azandaryani

  Classification:

  2000 Mathematical Subject Classification: 41A58, 42C15

  Keywords:

  Keywords and phrases: Fusion frames, g-frames, tensor products, direct sums

  Doi:

  DOI: 10.2298/AADM120619014K

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• Title:

  ON THE SPECTRUM OF THE FINITE LAPLACE TRANSFORM WITH SOME APPLICATIONS

  Authors:

  Hichem Ben Aouicha, Tahar Moumni

  Classification:

  2000 Mathematical Subject Classification: 45P05, 44A10, 45C05, 33C45

  Keywords:

  Keywords and phrases: Eigenvalue problem, Integral operator, Laplace transform, Orthogonal polynomials

  Doi:

  DOI: 10.2298/AADM120815019B

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• Title:

  EXTENSIONS OF EULER HARMONIC SUMS

  Authors:

  Anthony Sofo, Djurdje Cvijović

  Classification:

  2000 Mathematical Subject Classification: 05A10, 11B65, 11M06

  Keywords:

  Keywords and phrases: Harmonic numbers, Riemann Zeta functions, Binomial coefficients, Psi (Digamma) function, Polygamma functions

  Doi:

  DOI: 10.2298/AADM120628016S

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