Conf. dr. Cristinel MORTICI, Universitatea "Valahia" din Târgovişte

Curriculum Vitae

INFORMAŢII PERSONALE Nume Mortici Cristinel Adresă Strada 8 Martie, Bloc D7A, ap. 13, cod 130056, Târgovişte,

România Telefon/Fax 0722-727627 / 0040245-213382 E-mail [email protected], [email protected] Naţionalitate Română Data naşterii 30 iulie 1968

EXPERIENŢĂ PROFESIONALĂ

- 2003-prezent: conf. dr. la Universitatea Valahia Târgovişte, şeful Catedrei de Matematică

- 2001-2003: lect. dr. la Universitatea Valahia Târgovişte - 1996-2001: asist. dr. la Universitatea Ovidius Constanţa - 1993-1994: prep. la Universitatea Valahia Târgovişte - 1994-1996: asist. la Universitatea Valahia Târgovişte

EDUCAŢIE ŞI FORMARE - 1999: Doctorat în Ecuaţii cu derivate parţiale la Institutul de

Matematică Simion Stoilov al Academiei Române din Bucureşti - 1993: Absolvent al Facultăţii de Matematică a Universităţii din

Bucureşti - 1987: Absolvent al Liceului Ienăchiţă Văcărescu din Târgovişte

APTITUDINI ŞI COMPETENŢE PERSONALE

Limba maternă Româna Limbi străine cunoscute - Engleza : citit (foarte bine), scris (foarte bine), vorbit (foarte bine)

- Germana: citit (foarte bine), scris (foarte bine), vorbit (bine) - Franceza: citit (foarte bine), scris (bine) - Italiana : citit (foarte bine), scris (bine)

Aptitudini şi competenţe artistice

Aptitudini şi competenţe sociale

- Muncesc cu persoane într-un mediu multicultural - Ocup o poziţie în care comunicarea este importantă

Aptitudini şi competenţe organizatorice

- Coordonez şi conduc activitatea colegilor de catedră în calitatea de Şef al catedrei de Matematică

Aptitudini şi competenţe tehnice

- Calculator: Office, Latex, Corel

Permis de conducere Da, categoria B

Alte aptitudini şi competenţe (Competenţe care nu au mai fost menţionate anterior)

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LISTA DE LUCRARI

Conf. Dr. Cristinel MORTICI

A. LUCRARI PUBLICATE IN JURNALE STIINTIFICE

1. Sharp inequalities and complete monotonicity for the Wallis ratio

The Bulletin of the Belgian Mathematical Society Simon Stevin, 18 (2011),

no. 1.

2. Sharp bounds of the Landau constants

Mathematics of Computation, (2010).

3. Product approximations via asymptotic integration

The American Mathematical Monthly, 117 (2010), no. 5, 434‐441.

4. New sharp inequalities for approximating the factorial function and the

digamma function Miskolc Mathematical Notes, 11 (2010), no. 1.

5. New approximation formulas for evaluating the ratio of gamma functions

Mathematical and Computer Modelling, (2010).

6. The proof of Muqattash‐Yahdi conjecture

Mathematical and Computer Modelling, 51 (2010), no. 9‐10, 1154‐1159.

7. On the Stirling expansion into negative powers of a triangular numbers

Mathematical Communications, (2010).

8. A new Stirling series as continued fraction

Numerical Algorithms, (2010).

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9. Monotonicity properties of the volume of the unit ball in Rn

Optimization Letters, (2010).

10. Sharp inequalities related to Gosper’s formula

Comptes Rendus Mathematique, 348 (2010), no. 3‐4, 137‐140.

11. On new sequences converging towards the Euler‐Mascheroni constant

Computers and Mathematics with Applications, (2010).

12. A class of integral approximations for the factorial function

Computers and Mathematics with Applications, 59 (2010), no. 6, 2053‐

2058.

13. Best estimates of the generalized Stirling formula

Applied Mathematics and Computation, 215 (2010), no. 11, 4044‐4048.

14. Improved convergence towards generalized Euler‐Mascheroni constant

Applied Mathematics and Computation, 215 (2010), no. 9, 3443‐3448.

15. New approximations of the gamma function in terms of the digamma

function Applied Mathematics Letters, 23 (2010), no. 1, 97‐100.

16. Very accurate estimates of the polygamma functions

Asymptotic Analysis, (2010).

17. Optimizing the rate of convergence in some new classes of sequences

convergent to Euler’s constant Analysis and Applications (Singapore), 8

(2010), no. 1, 99‐107.

18. New sharp bounds for gamma and digamma functions

Analele Ştiinţifice ale Univ. A. I. Cuza Iași, 56 (2010), no. 2.

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19. A quicker convergence toward the gamma constant with the logarithm

term involving the constant e

Carpathian Journal of Mathematics, 26 (2010), no. 1.

20. An ultimate extremely accurate formula for approximation of the factorial

function Archiv der Mathematik (Basel), 93 (2009), no. 1, 37‐45.

21 Existence and uniqueness results for nonlinear Cauchy problems of the

second order

Journal of Computational Analysis and Applications, 11 (2009), no. 2, 229‐

233.

22. An extension of the Szasz‐Mirakjan operators

Analele Stiintifice ale Univ. Ovidius Constanta, 17 (2009), no. 1, 137‐144.

23. Complete monotonic functions associated with gamma function and

applications Carpathian Journal of Mathematics, 25 (2009), no. 2, 186‐191.

24. Arithmetic mean of values and value at mean of arguments for convex

functions

ANZIAM Journal, 50 (2008), no. 1, 137‐141.

25. A new type of approximating sequence for the solution of the Cauchy

problem consisting of piecewise linear functions

Carpathian Journal of Mathematics, 24 (2008), no. 2, 83‐90.

26. Nonsmooth perturbations in stochastic differential equations for the

Brownian motion process

Carpathian Journal of Mathematics, 24 (2008), no. 1, 72‐75.

27. The distance between fixed points of some pairs of maps in Banach spaces

and applications to differential systems

Czehoslovak Mathematical Journal, 56 (2006), no. 2, 689‐695.

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28. Approximation methods for solving the Cauchy problem

Czehoslovak Mathematical Journal, 55 (2005), no. 3, 709‐718.

29. A coincidence degree for bifurcation problems

Nonlinear Analysis ‐ Theory. Methods. Applications, 53 (2003), no. 5, 715‐

721.

B. Lucrari in reviste indexate BDI( Zentralblatt; Mathematical Reviews) sau in reviste recunoscute CNCSIS( categoriile B sau B+)

30. A method for high precision calculations of some special functions

Annals of Oradea University – Mathematics Fascicola, (2010)

31 On the generalized Stirling formula

Creative Mathematics and Informatics, 19 (2010), no. 1

32. A sharp inequality involving the Psi function

Acta Universitas Apulensis Mathematica Informatica, 21 (2010), 41-45.

33. Some inequalities involving arithmetic functions

Journal of Mathematical Inequalities, (2010)

34. A lower bound for a quotient of roots of factorials

Buletinul Academiei de Ştiinţe a Republicii Moldova Matematica, 3 (61) (2009), 64-69

35. New formulas for computing the solidification constant

Metalurgia, 1 (2009), 21-24

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36. The speed of convergence of the Riemann sums with applications to Gamma function

Scientific Studies and Research Bacău, 19 (2009), no.1, 131-138

37. Folding a square to identify two adjacent sides

Forum Geometricorum, 9 (2009), 99-107.

38. On an inequality of Keckic and Vasic

Automation Computers Applied Mathematics, 18 (2009) , no. 1, 7-11

39. A double inequality involving gamma via the multiplication formula of Gauss

Journal of Advanced Mathematical Studies, 2 (2009), no. 2, 57-62

40. On the eigenvalues of the Laplacian

Journal of Advanced Mathematical Studies, 2 (2009), no. 1, 35-40

41. A construction of an orthogonal basis in some Sobolev space

International Journal on Pure and Applied Mathematics, 50 (2009), no. 2, 227-232

42. The asymptotic analysis of the sequences

International Journal on Pure and Applied Mathematics, 50 (2009), no. 2, 275-282

43. A new formula for computing the casting solidification constant

Recent, Bra��, 9 (2008), no. 1, 55-58

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44. An application of the topological degree theory to nonlinear mechanical systems on free movements

Transactions on Mathematics and Physiscs, 53 (67) (2008), Fasc. 1, 23-28

45 A numerical construction of an orthogonal basis in the Sobolev space H1

0(D)

Studii și�Cercetări Ştiinţifice Seria Mat. Universitatea Bacău, 18 (2008), 133-140

46. A study of the stationary reactive flow of a fluid cofined in n-dimensional domains with holes using the fixed point theory

Acta Universitas Apulensis Mathematica Informatica, 16 (2008), 165-169

47. New results in discrete asymptotic analysis

General Mathematics, 16 (2008), no. 4, 179-188

48. The method of the variation of constants for Riccati equations

General Mathematics, 16 (2008), no. 1, 111-116

49. Some separation results by inversion

Creative Mathematics and Informatics, 17 (2008), 142-146

50. Anticommutativity in the ring of square matrices with complex entries

Creative Mathematics and Informatics, 17 (2008), 25-32

51. A method which generates sharp estimations for big factorials

Journal of Advanced Mathematical Studies, 1 (2008), no. 1-2, 71-74.

52. Some new facts in discrete asymptotic analysis

Mathematica Balkanica, 21 (2007), no. 3-4, 301-308

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53. A topological technique for reducing the dimension of a class of nonlinear equations

Analele Universităţii București Matematica, LVI (2007), 53-58

54. On the solving the Riccati equation and its equivalence with a second order linear equation

Transactions on Mathematics and Physiscs, 52 (66) (2007), Fasc. 2, 51-55

55. Approximating intervals for some bifurcation points via Leray-Schauder theory

Analele Universitatii de Vest Timisoara, Ser. Mat.-Inform. 45 (2007), no. 2, 75-82

56. Nonexistence of nontrivial periodic solutions for semilinear equations

Studia Universitas Babeș-Bolyai Mathematica, 2 (2006), 63-69

57. A nonsmooth extension for the Bernstein-Stancu operators and an application


58. A new simple proof for an inequality of Cebyshev type

Analele Stiintifice ale Universitatii Ovidius Constanta, 13 (2005), no. 2, 39-44.

59. Orthogonal basis in Sobolev space H0

1(a,b)


60. Topological degree methods for nonlinear equations defined by Green functions

Romanian Journal of Physiscs, 48 (2003), no. 4, 501-505.

61. An application of degree theory to the problem of forced oscillations of a pendulum

Mathematica (Cluj), 45(68) (2003), no. 2, 143-146.

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62. A basic decomposition result related to the notion of rank of a matrix and applications

Analele Stiintifice Universitatea Ovidius Constanta Ser. Mat. 11 (1) (2003), 125-132

63. A topological method for elliptic problems with Green type nonlinearity

Supl. Analele Universitatea Ovidius Constanta Ser. Mat. (2003), 211-214.

64. Operators of monotone type and periodic solutions for some semilinear problems

Mathematical Reports (Bucuresti), 4 (54) (2002), no. 1, 109-121.

65. A contractive method for the problem of the forced oscillations of a pendulum


66. An application of the degree theory to bifurcation problems with bounded perturbation


67. On the solvability of boundary value problems in Sobolev spaces

Analele Universităţii de Vest Timişoara Seria Matematică-Informatică, 40 (2002), no. 1, 63-69

68. Convergence order for implicit sequences

Delta (Poland), 2 (2001), 4-6

69. On a properness method for free vibrations problem

Carpathian Journal of Mathematics, 17 (2001), no. 1-2, 71-76.

70. The continuation method for linear equations in Hilbert spaces

Analele Universităţii Craiova Seria Matematică Informatică, 28 (2001), 38-42

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71. Semilinear equations in Hilbert spaces with quasi-positive nonlinearity


72. On the behaviour of the bifurcations set for nonlinear equations involving operators of monotone type

Analele Universităţii Craiova Seria Matematică Informatică, 27 (2000), 27-37

73. Lax-Milgram theorem with application to the perturbed Laplace problem with Dirichlet conditions

Creative Mathematics and Informatics, 9 (1999-2000), 91-96

74. On the solvability of the Cauchy problem

Nieuw Archieff voor Wiskunde, 1 (1999), 21-23

75. A method to compute the speed of convergence based on the inverse derivation theorem

Creative Mathematics and Informatics, 8 (1998-1999), 103-108

76. Linear and nonlinear perturbations for Dirichlet problem

Analele Universitaţii Craiova Seria Matematică Informatică, 26 (1999), 51-58

77. Variational methods for perturbed Laplace problem

Analele Universităţii de Vest Timişoara Ser. Mat.-Inform., 37 (1999), no. 2, 105-111

78. Topological methods for semilinear problems with maximal monotone nonlinearity

Analele Stiintifice ale Universitatii Ovidius Constanta Ser. Mat. 7 (1999), 55-60

79. A topological degree for A*-proper mappings acting from a Banach space into its dual

Carpathian Journal of Mathematics 15 (1999), no. 1-2, 139-144.

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80. Bifurcations for monotone type operators

Analele Stiintifice Universitatea Ovidius Constanta 6 (1998), no. 2, 125-132

81. Coincidence degree for monotone type operators and applications to bifurcation problems

Analele Stiintifice Universitatea Ovidius Constanta, 6 (1998), 95-102

82. On the unique solvability of semilinear problems with strongly monotone nonlinearity

Libertas Mathematica 18 (1998), 53-57.

83. A contractive method for the proof of Picard theorem

Carpathian Journal of Mathematics, 14 (1998), no. 2, 179-184

84. The invariance to homotopy of the topological degree in spaces with semi-inner product

Carpathian Journal of Mathematics, 13 (1997), no. 1-2, 94-98.

85. Semilinear equations with strongly monotone nonlinearities

Mathematiche (Catania), LII (1997), 387-39

Lucrari publicate in jurnale: Gazeta Matematica (Bucharest), Revista Matematica din Timisoara, Revista Minus...

1. Rezolvarea unor ecuatii functionale cu ajutorul sirurilor recurente Argument, 11(2009), 24-25

2. O schema originala de tip Horner de impartire la polinoame de grad superior Revista MINUS, 2(2008), no. II, 12-14

3. Lema Cesaro-Stolz in trei cazuri diferite Revista MINUS, 2(2008), no. II, 23-25

4. Inmultiri care impresioneaza Revista MINUS, 1(2008), no. I, 11-13 (with Mirela Mortici)

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5. Combinatii rationale de numere irationale Revista MINUS, 1(2008), no. I, 25-28

6. O reciproca a proprietatii de multiplicitate a determinantilor Revista MINUS, 1(2008), no. I, 31-33

7. O abordare cu lema lui Cesaro a cazurilor de egalitate la limita in inegalitati Revista MINUS, 1(2008), no. I, 34-37

8. O clasa de functii care admit primitive Revista de Matematica a Elevilor si Profesorilor din Caras-Severin, 3(2007), 9-11

9. O demonstratie cu arii a teoremei lui Ceva Revista de Matematica din Timisoara, 3(2006), 9-10

10. Ecuatia functionala a lui Cauchy in C si izometriile planului Revista de Matematica din Timisoara, 2(2006), 3-6 (with Dan Stefan Marinescu)

11. O demonstratie a teoremei lui Rolle Revista de Matematica din Timisoara, 2(2005), 8-9

12. Legaturi si echivalente intre teoreme celebre de geometrie Revista de Matematica din Timisoara, 1(2005), 3-6

13. Metoda trunchierii Gazeta Matematica, 7-8(2004), 257-263 (with A. Vernescu)

14. Metoda punctelor limita pentru studiul convergentei unor siruri marginite Revista de Matematica din Timisoara, 2(2004), 3-6

15. Ecuatia diofantica ab=cd si aplicatii Revista de Matematica din Timisoara, 1(2004), 3-6

16. O legatura neasteptata intre doua probleme de geometrie Axioma, 12(2004), 5-7

17. Proprietati interesante ale secantelor la 45 de grade in patratul unitate Revista de Matematica din Timisoara, 3(2003), 1-7

18. O caracterizare complexa a triunghiurilor echilaterale si aplicatii Axioma, 7(2003), 1-4 (with Mirela Mortici)

19. O metoda de baza pentru determinarea patratelor perfecte Revista de Matematica si Informatica din Constanta, 3(2003), 1-4 (with Mirela Mortici)

20. O teorema fundamentala de reprezentare a matricelor de rang r si aplicatii Gazeta Matematica, 8(2003), 261-269

21. Lema intervalelor inchise incluse Revista de Matematica din Timsoara, 2(2003), 3-9 (with Titu Andreescu)

22. O ecuatie diofantica cu aplicatii neasteptate Gazeta Matematica, 1(2003), 8-14 (with Titu Andreescu)

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23. Metoda factorului integrant pentru ecuatii omogene Gazeta Matematica, seria A, 4(1997), 272-274

24. Efectul radacinilor multiple in probleme de divizibilitate Gazeta Matematica, 5-6(1996), 275-276

25. In legatura cu identitatea lui Hermite Gazeta Matematica, 10-11(1997), 374-377

26. O proprietate intr-un Inel. Asupra problemei 23492 Gazeta Matematica, 6(1997), 217-218

27. Comportamentul functiilor cu proprietatea lui Darboux in vecinatatea unui punct de discontinuitate Revista de Matematica din Timisoara, 2(2002), 4-8

28. On the form of the complementary sequence Revista de Matematica din Timisoara, 1(2000), 1-5

29. Functii polinomiale de tip determinant Revista de Matematica din Timisoara, 2(1999), 7-10

30. O varianta a inductiei matematice Revista de Matematica din Timisoara, 2(1999), 7-11

31. Monotonia sirului e_n, Chindia Mathematica, Targoviste, 1(1999), 1-4

32. Viteza de convergenta a unor siruri definite implicit Chindia Mathematica, Targoviste, 2(1999), 1-5

O metoda pentru calculul puterilor unei matrice de ordinul 2 si Aplicatii Zinca Golescu Journal, Pitesti, 1(1999), 26-30 (with Mirela Mortici)

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Conf. dr. Cristinel MORTICI, Universitatea "Valahia" din Târgovişte

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Transcript of Conf. dr. Cristinel MORTICI, Universitatea "Valahia" din Târgovişte