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 cmortici@valahia.ro, cristinelmortici@yahoo.com Naţionalitate Română Data naşterii 30 iulie 1968 EXPERIENŢĂ - 2003-prezent: conf. dr. la Universitatea Valahia Târgovişte, şeful PROFESIONALĂ 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 EDUCAŢIE ŞI FORMARE APTITUDINI ŞI COMPETENŢE PERSONALE Limba maternă Limbi străine cunoscute Aptitudini şi competenţe artistice Aptitudini şi competenţe sociale - 1994-1996: asist. la Universitatea Valahia Târgovişte - 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 Româna - 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) - Muncesc cu persoane într-un mediu multicultural - Ocup o poziţie în care comunicarea este importantă Aptitudini şi competenţe organizatorice Aptitudini şi competenţe tehnice Permis de conducere Alte aptitudini şi competenţe - Coordonez şi conduc activitatea colegilor de catedră în calitatea de Şef al catedrei de Matematică - Calculator: Office, Latex, Corel Da, categoria B (Competenţe care nu au mai fost menţionate anterior) 1117
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). 1118
9. Monotonicity properties of the volume of the unit ball in R n 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. 1119
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. 1120
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 1121
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 1122
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 H 1 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 1123
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 Studia Universitas Babeș-Bolyai Mathematica, 2 (2006), 69-83 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 H 0 1 (a,b) Studia Universitas Babeș-Bolyai Mathematica, 2 (2004), 89-95 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. 1124
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 Mathematical Reports (Bucuresti), 4 (54) (2002), no. 2, 219-223. 66. An application of the degree theory to bifurcation problems with bounded perturbation Mathematical Reports (Bucuresti), 4 (54) (2002), no. 3, 257-264. 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 1125
71. Semilinear equations in Hilbert spaces with quasi-positive nonlinearity Studia Universitas Babeș-Bolyai Mathematica, 4 (2001), 89-94 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. 1126
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) 1127
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) 1128
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) 1129