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Popa Dorian - Facultatea de Automatica si Calculatoare

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Date personale<br />

Nume: <strong>Popa</strong><br />

Prenume: Va<strong>si</strong>le-<strong>Dorian</strong><br />

CURRICULUM VITAE<br />

Data şi locul naşterii: 05.04.1957, Filea <strong>de</strong> Jos, Jud. Cluj<br />

Funcţia şi locul <strong>de</strong> muncă: Profesor , Catedra <strong>de</strong> Matematica,Univer<strong>si</strong>tatea<br />

Studii:<br />

Tehnica Cluj-Napoca<br />

<strong>Facultatea</strong> <strong>de</strong> Matematică şi Informatică- Secţia Matematică<br />

Univer<strong>si</strong>tatea Babeş-Bolyai,1977-1981.<br />

Doctor în Matematică, Univer<strong>si</strong>tatea Babeş-Bolyai, 1999<br />

Teza <strong>de</strong> doctorat: Contribuţii la studiul multifuncţiilor şi al incluziunilor<br />

funcţionale<br />

Conducător ştiinţific: Prof. univ. dr. Alexandru Lupaş<br />

Poziţii<br />

După absolvirea facultăţii am lucrat până în 1991 în învăţământul preuniver<strong>si</strong>tar<br />

la Liceul George Bariţiu Cluj-Napoca.<br />

1991-1993 a<strong>si</strong>stent – Catedra <strong>de</strong> Matematică a Univer<strong>si</strong>tăţii Tehnice<br />

Cluj-Napoca<br />

1993-2002 lector – Catedra <strong>de</strong> Matematică a Univer<strong>si</strong>tăţii Tehnice<br />

Cluj-Napoca<br />

2002-2008 conferenţiar – Catedra <strong>de</strong> Matematică a Univer<strong>si</strong>tăţii Tehnice<br />

Cluj-Napoca<br />

2008- profesor-Catedra <strong>de</strong> Matematica a Univer<strong>si</strong>tatii Tehnice Cluj Napoca<br />

Membru în organizaţii ştiinţifice şi profe<strong>si</strong>onale<br />

AMS (American Mathematical Society)<br />

SSMR (Societatea Română <strong>de</strong> Matematică)<br />

ROGER (Romanian German Seminar on Approximation Theory)<br />

Seminarul THEODOR ANGHELUTA<br />

Domenii <strong>de</strong> specialitate<br />

- Analiză matematică<br />

- Ecuaţii funcţionale – soluţii multivoce<br />

-Stabilitate Hyers-Ulam<br />

-Multifuncţii.Incluziuni funcţionale.<br />

Activitatea didactică<br />

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Am <strong>de</strong>sfăşurat activitatea didactică la <strong>Facultatea</strong> <strong>de</strong> Automatică şi <strong>Calculatoare</strong>, <strong>Facultatea</strong><br />

<strong>de</strong> Electronică şi Telecomunicaţii, <strong>Facultatea</strong> <strong>de</strong> Construcţii din cadrul Univer<strong>si</strong>tăţii Tehnice<br />

Cluj-Napoca.<br />

Am predat cursuri şi am ţinut seminarii <strong>de</strong>:<br />

- Analiză Matematică<br />

- Ecuaţii diferenţiale<br />

- Probabilitati <strong>si</strong> statistica<br />

- Matematici speciale<br />

Am elaborat 9 lucrări cu caracter didactic:<br />

- 4 cursuri univer<strong>si</strong>tare (ca unic autor)<br />

- 5 culegeri <strong>de</strong> probleme (în colaborare).<br />

Din 2002 până în prezent m-am ocupat <strong>de</strong> selecţia şi pregătirea echipei Univer<strong>si</strong>tăţii Tehnice<br />

din Cluj-Napoca care a participat la International Mathematics Competition (IMC) şi<br />

Southeastern European Mathematical Olympiad for Univer<strong>si</strong>ty Stu<strong>de</strong>nts (SEEMOUS). Am<br />

condus în această perioadă echipa la competiţiile organizate în Polonia, Bulgaria, Macedonia,<br />

România, Grecia, Ungaria, Cipru.<br />

Activitatea ştiinţifică<br />

Monografii <strong>de</strong> specialitate: 2 (una în limba engleză)<br />

Articole publicate în reviste ISI: 23<br />

Articole publicate în reviste internaţionale in<strong>de</strong>xate BDI: 30<br />

Articole publicate în volumele unor conferinţe internaţionale: 7<br />

Articole publicate in volumele unor conferinte nationale: 2<br />

Articole publicate în alte reviste: 5<br />

Lucrari in reviste ISI<br />

1. N. Lungu, D. <strong>Popa</strong>, Hyers-Ulam stability of a first or<strong>de</strong>r partial differential equation,<br />

J. Math.Anal.Appl., 385(2012), 86-91.<br />

2. D. <strong>Popa</strong>, I.Rasa, The Frechet functional equation with application to the stability of<br />

certain operators, Journal of Approximation Theory, 164(2012),138-164.<br />

3. . J. Brz<strong>de</strong>k, D. <strong>Popa</strong>, B.Xu, Note on nonstability of the linear functional equation of<br />

higher or<strong>de</strong>r, Computer&Mathematics with Applications, 62(2011), 2648-2657.<br />

4. J. Brz<strong>de</strong>k, D. <strong>Popa</strong>, B. Xu, On approximate solutions of the linear functional<br />

equation of higher or<strong>de</strong>r , J. Math. Anal. Appl. 373( 2011), Pages 680-689.<br />

5. J. Brz<strong>de</strong>k, D. <strong>Popa</strong>, B. Xu, Selections of set-valued maps satisfying a linear<br />

inclu<strong>si</strong>on in <strong>si</strong>ngle variable, Nonlinear Analy<strong>si</strong>s-TMA, 74(2011), 324-330.<br />

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6. M.S.Moslehian, D. <strong>Popa</strong>, On the stability of the first-or<strong>de</strong>r linear recurrence in<br />

topological vector spaces, Nonlinear Analy<strong>si</strong>s: TMA 73(2010) , 2792-2799.<br />

7. J. Brz<strong>de</strong>k, D. <strong>Popa</strong>, B. Xu, On nonstability of the linear recurrence of or<strong>de</strong>r one,<br />

Journal of Mathematical Analy<strong>si</strong>s an Applications, 367( 2010), 146-153.<br />

8. J. Brz<strong>de</strong>k, D. <strong>Popa</strong>, B.Xu, Remarks on stability of linear recurrence of higher or<strong>de</strong>r,<br />

Appl.Math.Lett.23(2010), 1459-1463.<br />

9. K.Niko<strong>de</strong>m, D.<strong>Popa</strong>, On <strong>si</strong>ngle valuedness of set- valued maps satisfying linear<br />

inclu<strong>si</strong>ons, Banach J.Math.Anal.3(2009), 44-51.<br />

10. K.Niko<strong>de</strong>m, D.<strong>Popa</strong>, On selections of general linear inclu<strong>si</strong>ons,<br />

Publ.Math.Debrecen 75(2009), 239-249.<br />

11. M.S.Moslehian, K. Niko<strong>de</strong>m, D.<strong>Popa</strong>, Asymptotic aspect of the quadratic<br />

functional equation in multinormed spaces, J.Math.Anal.Appl.355(2009), 717-724.<br />

12. D. <strong>Popa</strong>, On the stability of the general linear equation, Results in Mathematics,<br />

53(2009), 383-389<br />

13. J. Brz<strong>de</strong>k, D. <strong>Popa</strong>, Xu Bing, Hyers-Ulam stability for linear equations of higher<br />

or<strong>de</strong>rs, Acta Mathematica Hungarica, 1-2( 2008), 1-8.<br />

14. J. Brz<strong>de</strong>k, D. <strong>Popa</strong>, Xu Bing, The Hyers-Ulam Stability of Nonlinear Recurrences,<br />

J.Math. Anal. Appl. 335, 1(2007), 443-449. MR 2340333,Zbl 1123.39022.<br />

15. J. Brz<strong>de</strong>k, D. <strong>Popa</strong>, Xu Bing, Note on nonstability of the linear recurrence,<br />

Abh. Math.Sem. Univ. Hamburg, 76(2006), 183-189. MR 2293441<br />

16. D. <strong>Popa</strong>, Hyers-Ulam stability of the linear recurrrence with constant coefficients,<br />

Adv. Difference Equ. 2(2005), 101-107. MR 2197125,Zbl 1095.39024<br />

17. D. <strong>Popa</strong>, Hyers-Ulam-Ras<strong>si</strong>as stability of a linear recurrence,<br />

J. Math. Anal. Appl. 309(2005), 591-597. MR 2154138, Zbl 1079.39027<br />

18. D. <strong>Popa</strong>, Functional inclu<strong>si</strong>ons on square-symmetric grupoids and Hyers-Ulam<br />

stability, Mathematical Inequalities and Applications. MIA 2(2004), 419-428.<br />

MR 2077819, Zbl 1058.39026<br />

19. D. S. Cimpean , D.<strong>Popa</strong>, On the stability of the linear differential equation of higher<br />

or<strong>de</strong>r with constant coefficients , Applied Mathematics and Computation, 217( 2010),<br />

4141-4146.<br />

20..D.S. Cimpean, D. <strong>Popa</strong>, Hyers-Ulam stability of Euler’s equation, Appl.<br />

Math.Lett.24(2011), 1539-1543.<br />

21. D. <strong>Popa</strong>, I. Rasa, On the Hyers-Ulam stability of the linear differential equation,<br />

J.Math.Anal.Appl., 381(2011),530-537.<br />

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