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

Electronic version posted on August 27, 2012.

Printed version appeared on August 31, 2012.

John R. Graef, Seshadev Padhi, Smita Pati, P. K. Kar: Positive Solutions of Differential Equations with Unbounded Green\'s Kernel

2000 Mathematical Subject Classification: 34C25, 34C15
Keywords and phrases: Positive periodic solutions, multiple periodic solutions, Allee effect.

doi:10.2298/AADM120418011G

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Christopher S. Goodrich: NONLOCAL SYSTEMS OF BVPS WITH ASYMPTOTICALLY SUBLINEAR BOUNDARY CONDITIONS

2000 Mathematical Subject Classification: 34B09, 34B10, 34B15, 34B18, 47H07, 47H10
Keywords and phrases: Coupled system of second-order boundary value problems, nonlocal boundary condition, nonlinear boundary condition, eigenvalue, positive solution.

doi:10.2298/AADM120329010G

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Ling Mi, Bin Liu: THE SECOND ORDER ESTIMATE FOR THE SOLUTION TO A SINGULAR ELLIPTIC BOUNDARY VALUE PROBLEM

2000 Mathematical Subject Classification: 35J25, 35J65
Keywords and phrases: Semilinear elliptic equations, the unique solution, singular Dirichlet problem, the second order estimate, Karamata regular variation theory.

doi:10.2298/AADM120713018M

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Michel Molina Del Sol, Eduardo Arbieto Alarcón, Rafael José Iorio Junior: ON THE CAUCHY PROBLEM ASSOCIATED TO THE BRINKMAN FLOW IN R^n

2000 Mathematical Subject Classification: 35A01, 35B51, 76D07
Keywords and phrases: Brinkman Equation, Cauchy Problem, Comparison Principle, Parabolic Regularization.

doi:10.2298/AADM120604013M

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PGL Leach: LIE SYMMETRIES AND NOETHER SYMMETRIES

2000 Mathematical Subject Classification: 70H03, 70H33, 70H25
Keywords and phrases: Noether integral, Lie symmetry, Calculus of Variations.

doi:10.2298/AADM120625015L

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Ishak Altun, Salvador Romaguera: CHARACTERIZATIONS OF PARTIAL METRIC COMPLETENESS IN TERMS OF WEAKLY CONTRACTIVE MAPPINGS HAVING FIXED POINT

2000 Mathematical Subject Classification: 54H25, 47H10, 54E50
Keywords and phrases: Partial metric, complete, 0-complete, w-distance, weakly contraction.

doi:10.2298/AADM120322009A

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Nataša A. Babačev: NONLINEAR GENERALIZED CONTRACTIONS ON MENGER PM SPACES

2000 Mathematical Subject Classification: 47H10, 54E70
Keywords and phrases: Probabilistic metric spaces, Fixed point, Nonlinear generalized contractive type conditions, $Phi$-functions.

doi:10.2298/AADM120526012B

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Jesus Garcia-Falset, Enrique Llorens-Fuster, Elena Moreno Galvez: FIXED POINT THEORY FOR MULTIVALUED GENERALIZED NONEXPANSIVE MAPPINGS

2000 Mathematical Subject Classification: 47H10, 47H04, 46B20
Keywords and phrases: Multivalued mappings, generalized nonexpansive mappings, asymptotic centers, fixed points, normal structure..

doi:10.2298/AADM120712017G

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Amir Khosravi, M. Mirzaee Azandaryani: FUSION FRAMES AND G-FRAMES IN TENSOR PRODUCT AND DIRECT SUM OF HILBERT SPACES

2000 Mathematical Subject Classification: 41A58, 42C15
Keywords and phrases: Fusion frames, g-frames, tensor products, direct sums.

doi:10.2298/AADM120619014K

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Hichem Ben Aouicha, Tahar Moumni: ON THE SPECTRUM OF THE FINITE LAPLACE TRANSFORM WITH SOME APPLICATIONS

2000 Mathematical Subject Classification: 45P05, 44A10, 45C05, 33C45
Keywords and phrases: Eigenvalue problem, Integral operator, Laplace transform, Orthogonal polynomials.

doi:10.2298/AADM120815019B

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Anthony Sofo, Djurdje Cvijović: EXTENSIONS OF EULER HARMONIC SUMS

2000 Mathematical Subject Classification: 05A10, 11B65, 11M06
Keywords and phrases: Harmonic numbers, Riemann Zeta functions, Binomial coefficients, Psi (Digamma) function, Polygamma functions.

doi:10.2298/AADM120628016S

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