Applicable Analysis and Discrete Mathematics

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Applicable Analysis and Discrete Mathematics
(since 2007)Publications - Series: Mathematics
(1990-2007)Publications - Series: Mathematics and Physics
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Applicable Analysis and Discrete MathematicsPublisher: Faculty of Electrical Engineering, BelgradeISSN 1452-8630 (printed)ISSN 2406-100X (online)Issue: 2, No. 2Date: 2008

SECOND-ORDER DIFFERENTIAL EQUATIONS: CONDITIONS OF COMPLETE INTEGRABILITY	123 - 145
Vasilij Petrovich Ermakov (1845-1922)

Keywords: Ermakov, integral, complete integrabilityAMS: 34A05, 34A34

THE ERMAKOV EQUATION: A COMMENTARY	146 - 157
P. G. L. Leach and K. Andriopoulos

Keywords: Ermakov, Pinney, Lewis, sl(2,R), invariantAMS: 34A05, 01A75, 70F05, 22E70

MULTIPLICITY OF SOLUTIONS FOR SINGULAR SEMILINEAR ELLIPTIC EQUATIONS WITH CRITICAL HARDY-SOBOLEV EXPONENTS	158 - 174
Qianqiao Guo, Pengcheng Niu and Jingbo Dou

Keywords: Critical Hardy-Sobolev exponents, Hardy potential, variational methodAMS: 35J20, 47J30

JENSEN'S FUNCTIONAL AND POLYNOMIALS	175 - 182
Mirjana Pavlović

Keywords: Jensen's functional, concentration, polynomialsAMS: 30C10

A NEW CRITERION FOR MULTIVALENT STARLIKE FUNCTIONS	183 - 188
Zhi-Gang Wang and Neng Xu

Keywords: Analytic functions, multivalent functions, starlike functions, Jack's lemmaAMS: 30C45

A FIXED POINT THEOREM FOR MULTI-MAPS SATISFYING AN IMPLICIT RELATION ON METRIC SPACES	189 - 196
S. Sedghi, I. Altun and N. Shobe

Keywords: Fixed point, weakly compatible maps, multi-maps, implicit relationAMS: 54H25, 47H10

Yu Miao, Junfen Li: WEAK AND STRONG CONVERGENCE OF AN ITERATIVE METHOD FOR NONEXPANSIVE MAPPINGS IN HILBERT SPACES	197 - 204
Yu Miao and Junfen Li

Keywords: Nonexpansive mapping, iterative process, weak convergence, strong convergenceAMS: 47H09, 47H10

NEW INTEGRAL AND SERIES REPRESENTATIONS OF THE GENERALIZED MATHIEU SERIES	205 - 212
Živorad Tomovski

Keywords: Integral representations, Mathieu series, alternating Mathieu series, Fourier sine transforms, Bessel function, Gauss hypergeometric function, generalized hypergeometric functionAMS: Primary 33E20, 40A10. Secondary 33C10, 33C20, 44A20

AN EQUIVALENT FORM OF YOUNG'S INEQUALITY WITH UPPER BOUND	213 - 216
E. Minguzzi

Keywords: Young's inequality, Legendre transformAMS: 26D10, 44A15

SOME PROPERTIES OF THE SEQUENCE OF PRIME NUMBERS	217 - 221
Vlad Copil and Laurenţiu Panaitopol

Keywords: Prime numbers, sequences, seriesAMS: 11N05, 11A41

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