Italian Journal of Pure and Applied Mathematics
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N° 34 – June 2015 Italian Journal of Pure and Applied Mathematics ISSN 2239-0227 EDITOR-IN-CHIEF Piergiulio Corsini Editorial Board Saeid Abbasbandy Luca Iseppi Maria Scafati Tallini Reza Ameri James Jantosciak Kar Ping Shum Luisa Arlotti Tomas Kepka Alessandro Silva Krassimir Atanassov David Kinderlehrer Florentin Smarandache Malvina Baica Andrzej Lasota Sergio Spagnolo Federico Bartolozzi Violeta Leoreanu-Fotea Stefanos Spartalis Rajabali Borzooei Maria Antonietta Lepellere Hari M. Srivastava Carlo Cecchini Mario Marchi Marzio Strassoldo Gui-Yun Chen Donatella Marini Yves Sureau Domenico Nico Chillemi Angelo Marzollo Carlo Tasso Stephen Comer Antonio Maturo Ioan Tofan Irina Cristea M. Reza Moghadam Aldo Ventre Mohammad Reza Darafsheh Syed Tauseef Mohyud-Din Thomas Vougiouklis Bal Kishan Dass Petr Nemec Hans Weber Bijan Davvaz Vasile Oproiu Xiao-Jun Yang Mario De Salvo Livio C. Piccinini Yunqiang Yin Alberto Felice De Toni Goffredo Pieroni Mohammad Mehdi Zahedi Franco Eugeni Flavio Pressacco Fabio Zanolin Giovanni Falcone Vito Roberto Paolo Zellini Yuming Feng Ivo Rosenberg Jianming Zhan Antonino Giambruno Gaetano Russo Furio Honsell Paolo Salmon F O R U M EDITOR-IN-CHIEF Giovanni Falcone Dipartimento di Metodi e Modelli Matematici viale delle Scienze Ed. 8 Gaetano Russo Piergiulio Corsini 90128 Palermo, Italy Department of Civil Engineering and Architecture Department of Civil Engineering and Architecture [email protected] Via delle Scienze 206 Via delle Scienze 206 - 33100 Udine, Italy 33100 Udine, Italy [email protected] Yuming Feng [email protected] College of Math. and Comp. Science, Chongqing Three-Gorges University, Wanzhou, Chongqing, 404000, P.R.China Paolo Salmon VICE-CHIEFS [email protected] Dipartimento di Matematica Università di Bologna Violeta Leoreanu Antonino Giambruno Piazza di Porta S. Donato 5 Maria Antonietta Lepellere Dipartimento di Matematica e Applicazioni 40126 Bologna, Italy via Archirafi 34 - 90123 Palermo, Italy [email protected] [email protected] MANAGING BOARD Maria Scafati Tallini Furio Honsell Dipartimento di Matematica Domenico Chillemi, CHIEF Dipartimento di Matematica e Informatica "Guido Castelnuovo" Via delle Scienze 206 - 33100 Udine, Italy Università La Sapienza Piergiulio Corsini [email protected] Piazzale Aldo Moro 2 - 00185 Roma, Italy Irina Cristea [email protected] Alberto Felice De Toni Luca Iseppi Furio Honsell Department of Civil Engineering and Architecture, Kar Ping Shum section of Economics and Landscape Faculty of Science Violeta Leoreanu Via delle Scienze 206 - 33100 Udine, Italy The Chinese University of Hong Kong Maria Antonietta Lepellere [email protected] Hong Kong, China (SAR) Elena Mocanu [email protected] Livio Piccinini James Jantosciak Flavio Pressacco Department of Mathematics Alessandro Silva Brooklyn College (CUNY) Dipartimento di Matematica Norma Zamparo Brooklyn, New York 11210, USA "Guido Castelnuovo" [email protected] Università La Sapienza Piazzale Aldo Moro 2 - 00185 Roma, Italy Tomas Kepka [email protected] MFF-UK Sokolovská 83 Florentin Smarandache 18600 Praha 8,Czech Republic Department of Mathematics EDITORIAL BOARD [email protected] University of New Mexico Gallup, NM 87301, USA Saeid Abbasbandy David Kinderlehrer [email protected] Dept. of Mathematics, Imam Khomeini International University, Department of Mathematical Sciences Ghazvin, 34149-16818, Iran Carnegie Mellon University Sergio Spagnolo [email protected] Pittsburgh, PA15213-3890, USA Scuola Normale Superiore [email protected] Piazza dei Cavalieri 7 - 56100 Pisa, Italy Reza Ameri [email protected] Department of Mathematics Andrzej Lasota University of Tehran, Tehran, Iran Silesian University Stefanos Spartalis [email protected] Institute of Mathematics Department of Production Engineering and Management, Bankova 14 School of Engineering Luisa Arlotti 40-007 Katowice, Poland Democritus University of Thrace Department of Civil Engineering and Architecture [email protected] V.Sofias 12, Prokat, Bdg A1, Office 308 Via delle Scienze 206 - 33100 Udine, Italy 67100 Xanthi, Greece [email protected] Violeta Leoreanu-Fotea [email protected] Faculty of Mathematics Krassimir Atanassov Al. I. Cuza University Hari M. Srivastava Centre of Biomedical Engineering, Bulgarian Academy of Science 6600 Iasi, Romania Department of Mathematics and Statistics BL 105 Acad. G. Bontchev Str. [email protected] University of Victoria 1113 Sofia, Bulgaria Victoria, British Columbia [email protected] Maria Antonietta Lepellere V8W3P4, Canada Department of Civil Engineering and Architecture [email protected] Malvina Baica Via delle Scienze 206 - 33100 Udine, Italy University of Wisconsin-Whitewater [email protected] Marzio Strassoldo Dept. of Mathematical and Computer Sciences Department of Statistical Sciences Whitewater, W.I. 53190, U.S.A. Mario Marchi Via delle Scienze 206 - 33100 Udine, Italy [email protected] Università Cattolica del Sacro Cuore [email protected] via Trieste 17, 25121 Brescia, Italy Federico Bartolozzi [email protected] Yves Sureau Dipartimento di Matematica e Applicazioni 27, rue d'Aubiere via Archirafi 34 - 90123 Palermo, Italy Donatella Marini 63170 Perignat, Les Sarlieve - France [email protected] Dipartimento di Matematica [email protected] Via Ferrata 1- 27100 Pavia, Italy Rajabali Borzooei [email protected] Carlo Tasso Department of Mathematics Dipartimento di Matematica e Informatica Shahid Beheshti University, Tehran, Iran Angelo Marzollo Via delle Scienze 206 - 33100 Udine, Italy [email protected] Dipartimento di Matematica e Informatica [email protected] Via delle Scienze 206 - 33100 Udine, Italy Carlo Cecchini [email protected] Ioan Tofan Dipartimento di Matematica e Informatica Faculty of Mathematics Via delle Scienze 206 - 33100 Udine, Italy Antonio Maturo Al. I. Cuza University [email protected] University of Chieti-Pescara, Department of Social Sciences, 6600 Iasi, Romania Via dei Vestini, 31 [email protected] Gui-Yun Chen 66013 Chieti, Italy School of Mathematics and Statistics, [email protected] Aldo Ventre Southwest University, 400715, Chongqing, China Seconda Università di Napoli, Fac. Architettura, Dip. Cultura del Progetto [email protected] M. Reza Moghadam Via San Lorenzo s/n Faculty of Mathematical Science 81031 Aversa (NA), Italy Domenico (Nico) Chillemi Ferdowsi University of Mashhadh [email protected] Executive IT Specialist, IBM Software Group P.O.Box 1159 - 91775 Mashhad, Iran IBM Italy SpA [email protected] Thomas Vougiouklis Via Sciangai 53 – 00144 Roma, Italy Democritus University of Thrace, [email protected] Syed Tauseef Mohyud-Din School of Education, Faculty of Sciences 681 00 Alexandroupolis. Greece Stephen Comer HITEC University Taxila [email protected] Department of Mathematics and Computer Science Cantt Pakistan The Citadel, Charleston S. C. 29409, USA [email protected] Hans Weber [email protected] Dipartimento di Matematica e Informatica Petr Nemec Via delle Scienze 206 - 33100 Udine, Italy Irina Cristea Czech University of Life Sciences, Kamycka’ 129 [email protected] CSIT, Centre for Systems and Information Technologies 16521 Praha 6, Czech Republic University of Nova Gorica [email protected] Xiao-Jun Yang Vipavska 13, Rožna Dolina, SI-5000 Nova Gorica, Slovenia Department of Mathematics and Mechanics, [email protected] Vasile Oproiu China University of Mining and Technology, Faculty of Mathematics Xuzhou, Jiangsu, 221008, China Mohammad Reza Darafsheh Al. I. Cuza University [email protected] School of Mathematics, College of Science 6600 Iasi, Romania University of Tehran, Tehran, Iran [email protected] Yunqiang Yin [email protected] School of Mathematics and Information Sciences, Livio C. Piccinini East China Institute of Technology, Fuzhou, Jiangxi Bal Kishan Dass Department of Civil Engineering and Architecture 344000, P.R. China Department of Mathematics Via delle Scienze 206 - 33100 Udine, Italy [email protected] University of Delhi, Delhi - 110007, India [email protected] [email protected] Mohammad Mehdi Zahedi Goffredo Pieroni Department of Mathematics, Faculty of Science Bijan Davvaz Dipartimento di Matematica e Informatica Shahid Bahonar, University of Kerman Department of Mathematics, Via delle Scienze 206 - 33100 Udine, Italy Kerman, Iran Yazd University, Yazd, Iran [email protected] [email protected] [email protected] Flavio Pressacco Fabio Zanolin Mario De Salvo Dept. of Economy and Statistics Dipartimento di Matematica e Informatica Dipartimento di Matematica e Informatica Via Tomadini 30 Via delle Scienze 206 - 33100 Udine, Italy Viale Ferdinando Stagno d'Alcontres 31, Contrada Papardo 33100, Udine, Italy [email protected] 98166 Messina [email protected] [email protected] Paolo Zellini Vito Roberto Dipartimento di Matematica Alberto Felice De Toni Dipartimento di Matematica e Informatica Università degli Studi Udine University, Rector Via delle Scienze 206 - 33100 Udine, Italy Tor Vergata, via Orazio Raimondo Via Palladio 8 - 33100 Udine, Italy [email protected] (loc. La Romanina) - 00173 Roma, Italy [email protected] [email protected] Ivo Rosenberg Franco Eugeni Departement de Mathematique et de Statistique Jianming Zhan Dipartimento di Metodi Quantitativi per l'Economia del Territorio Université de Montreal Department of Mathematics, Hubei Institute for Nationalities Università di Teramo, Italy C.P. 6128 Succursale Centre-Ville Enshi, Hubei Province,445000,