Babeş-Bolyai University of Cluj-Napoca

Faculty of Mathematics and Informatics

Department of Mathematics

 

 

Research Center of Applied Analysis

(Centrul de Cercetare Analiză Aplicată)

 

Research Topics:

 

Members:

Name and didactical degree Faculty, Department Personal webpage

Precup Radu, prof. dr.

(Center Coordinator)

Mathematics and Computer Science,     Department of Mathematics

 www.math.ubbcluj.ro/~r.precup

Petrusel Adrian, prof. dr.

Mathematics and Computer Science,     Department of Mathematics  www.math.ubbcluj.ro/~petrusel

Agratini Octavian, prof. dr.

Mathematics and Computer Science,     Department of Mathematics http://math.ubbcluj.ro/~agratini

Kassay Gabor, prof. dr.

Mathematics and Computer Science,     Department of Mathematics

 http://www.math.ubbcluj.ro/~kassay

Kohr Mirela, prof. dr.

Mathematics and Computer Science,     Department of Mathematics

 http://math.ubbcluj.ro/~mkohr

Varga Gyorgy Csaba, prof. dr.

Mathematics and Computer Science,     Department of Mathematics and Computer Science of Hungarian Line

 http://www.cs.ubbcluj.ro/~csvarga/

Bulboaca Teodor, prof. dr.

Mathematics and Computer Science,     Department of Mathematics and Computer Science of Hungarian Line

https://www.researchgate.net/profile/Teodor_Bulboaca

Popovici Nicolae, prof. dr.

Mathematics and Computer Science,     Department of Mathematics

 www.math.ubbcluj.ro/~popovici

Kristaly Alexandru, prof. dr.

Economics and Business Administration (Sf. Gheorghe)

www.alexandrukristaly.wordpress.com

Baricz Arpad, prof. dr.

Economics and Business Administration (Sf. Gheorghe)

https://sites.google.com/site/bariczocsi/

Buica Adriana, conf. dr. habil.

Mathematics and Computer Science,     Department of Mathematics

 www.math.ubbcluj.ro/~abuica

Pintea Cornel, conf. dr. habil.

Mathematics and Computer Science,     Department of Mathematics

 www.math.ubbcluj.ro/~cpintea

Lisei Hannelore Inge, conf. dr. habil.

Mathematics and Computer Science,     Department of Mathematics

 www.math.ubbcluj.ro/~hanne

Catinas Teodora, conf. dr. habil.

Mathematics and Computer Science,     Department of Mathematics

 www.math.ubbcluj.ro/~tcatinas

Grosan Teodor, conf. dr. habil.

Mathematics and Computer Science,     Department of Mathematics

 www.math.ubbcluj.ro/~tgrosan

Breckner Brigitte, conf. dr. habil.

Mathematics and Computer Science,     Department of Mathematics

https://sites.google.com/site/brigittebreckner/home

Serban Marcel Adrian, conf. dr.

Mathematics and Computer Science,     Department of Mathematics

 www.math.ubbcluj.ro/~mserban

Nicolae Adriana-Maria, conf. dr.

Mathematics and Computer Science,     Department of Mathematics

http://math.ubbcluj.ro/~anicolae/

Viorel Adrian, lect. dr. Mathematics and Computer Science,     Department of Mathematics

http://math.ubbcluj.ro/~adrian.viorel/

Iancu Mihai, asist. dr.

Mathematics and Computer Science,     Department of Mathematics

 http://math.ubbcluj.ro/~miancu

Parajdi Lorand, asist. dr.

Mathematics and Computer Science,     Department of Mathematics

 https://www.cs.ubbcluj.ro/~lorand/

Associate member:

Pop Ioan, prof. univ. emerit, Mathematics and Computer Science, Department of Mathematics, http://math.ubbcluj.ro/~ipop/

Moroşanu Gheorghe, prof. dr., Mathematics and Computer Science, Department of Mathematics,  http://people.ceu.edu/gheorghe_morosanu

 

 

Representative Scientific Contributions in the last 5 years

  1. P. Jebelean, R. PrecupSymmetric positive solutions to a singular phi-Laplace equation, J. London Math. Soc. 99 (2019), Issue2, 495-515 (SRI 2.430)

  2. S. Abbas, M. Benchohra, A. PetruselUlam stability for Hilfer type fractional differential inclusions via the weakly Picard operator theory, Fractional Calc. Applied Anal., 20 (2017), no. 2, 384-398 (SRI: 1,668).

  3. M. Kohr, W.L. Wendland, Boundary value problems for the Brinkman system with L∞ coefficients in Lipschitz domains on compact Riemannian manifolds. A variational approach, Journal de Mathématiques Pures et Appliquées, 131 (2019), 17-63. (SRI 3.768)

  4. N. Costea, G. Moroşanu, C. VargaWeak solvability for Dirichlet partial differential inclusions in Orlicz-Sobolev spaces, Advances in Differential Equations, 23 (2018), 523-554. SRI 1.850)

  5. H.M. Zayed, M.K. Aouf, T. BulboacăSubordination and superordination preserving properties for families of integral operators for meromorphic functions, Analysis and Mathematical Physics, 10 (2020), 1-11. (SRI 0.951)

  6. A. Buică, J. Giné, M. Grau, On the critical points of the flight return time function of perturbed closed orbits, Journal of Differential Equations, 266 (2019), 8344-8369. (SRI 2.403)

  7. L. Funar, C. PinteaManifolds which admit maps with finitely many critical points into spheres of small dimensions, Michigan Math. J., 67 (2018), 585-615. (SRI 1.439)

  8. G. López-Acedo, A. Nicolae, B. Piątek, Geodesic rays, the "Lion-Man" game, and the fixed point property, Journal of Mathematical Analysis and Applications, 487 (2020), 123948, (SRI 1.104)

  9. A KristályFundamental tones of clamped plates in nonpositively curved spaces, Advances in Mathematics, 367 (2020), 107113, (SRI 3.146)

  10. T. Grosan, C. Revnic, I. Pop, D.B. Ingham, Magnetic field and internal heat generation effects on the free convection in a rectangular cavity filled with a porous medium, International Journal of Heat and Mass Transfer, 52 (2009), 1525-1533. (SRI 2.234)

 

Dissemination, citations and other demonstrative proofs of the research impact:

Number of citations, h-index (Google Scholar):

I. Pop: 24580, h-index 84;

A. Baricz: 3173, h-index 31;

A. Petrusel: 3980, h-index 30;

T. Grosan: 2341, h-index 30;

G. Kassay: 1936, h-index 26;

A. Kristaly: 1691, h-index 23;

R. Precup: 1948, h-index 20;

M. Kohr: 1163, h-index 19;

C. Varga: 1309, h-index 17

Numerous citations in monographs / volumes published by international publishers. Some examples:

  1. R. Precup: J.R. Graef, J. Henderson, A. Ouahab, Topological Methods for Differential Equations and Inclusions, CRC Press, 2019; D. Motreanu, Nonlinear Differential Problems with Smooth and Nonsmooth Constraints, Academic Press, 2018; Modern Problems in Applied Analysis, eds. P. Drygaś, S. Rogosin, Birkhauser, 2018; D.C. Kravvaritis, A.N. Yannacopoulos, Variational Methods in Nonlinear Analysis: With Applications in Optimization and Partial Differential Equations, de Gruyter, 2020; V. Obukhovskii, B. Gel'man, Multivalued Maps And Differential Inclusions, World Scientific, 2020.

  2. A. Petrușel: cited in Ulam Type Stability, eds.Janusz Brzdęk, Dorian Popa, Themistocles M. Rassias, Springer, 2019; J.R. Graef, J. Henderson, A. Ouahab, Topological Methods for Differential Equations and Inclusions, CRC Press, 2019; Mathematical Analysis and Applications: Selected Topics, eds. Michael Ruzhansky, Hemen Dutta, Ravi P. Agarwal, Wiley, 2018.

  3. O. Agratini: cited in Modern Umbral Calculus: An Elementary Introduction with Applications, by Francesco Aldo Costabile, De Gruyter, 2019; Moments of Linear Positive Operators and Approximation, by V. Gupta, M.Th. Rassias, Springer, 2019; Handbook of Analytic Computational Methods in Applied Mathematics, eds. G. Anastassiou, CRC, 2019.

  4. C. Varga: Mathematical Analysis and Applications: Selected Topics, eds. Michael Ruzhansky, Hemen Dutta, Ravi P. Agarwal, Wiley, 2018; Game Theory: Third East Asia International Conference, EAGT 2019, Fuzhou China, March 7-9, 2019, Revised Selected Papers, ed. Deng-Feng Li, Springer, 2019.

  5. M. Kohr: cited in Geometric Function Theory in Higher Dimension, ed. Filippo Bracci, Springer, 2018; Frontiers in Functional Equations and Analytic Inequalities, eds. G.A. Anastassiou, J.M. Rassias, Springer, 2019.

  6. A. Buica: cited in Nonlinear Dynamical Systems with Self-Excited and Hidden Attractors eds. Viet-Thanh Pham, Sundarapandian Vaidyanathan, Christos Volos, Tomasz Kapitaniak, Springer, 2018; Periodic Differential Equations in the Plane: A Topological Perspective, by Rafael Ortega, De Gruyter, 2019.

  7. A. Kristaly: cited in Nonlinear Analysis - Theory and Methods, eds. Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš, Springer, 2019; Recent Developments in Nonlocal Theory, Giampiero Palatucci, Tuomo Kuusi, De Gruyter, 2018.

  8. G. Kassay: cited in Nonlinear Programming Techniques for Equilibria, Giancarlo Bigi ed. Al., Springer, 2018; Optimization and Applications, eds. N. Olenev, Y. Evtushenko, M. Khachay, Springer, 2020; Algorithms for Solving Common Fixed Point Problems, A.J. Zaslavski, Springer, 2018.

  9. A. Baricz: cited in Transmutation Operators and Applications, eds. Vladislav V. Kravchenko, Sergei M. Sitnik, Springer, 2020; Conformally Invariant Metrics and Quasiconformal Mappings, by Parisa Hariri, Riku Klén, Matti Vuorinen, Springer, 2020.

  10. N. Popovici: cited in Variational Analysis and Set Optimization: Developments and Applications in Decision Making, eds. A.A. Khan, E. Köbis, Ch. Tammer, CRC, 2019; Location Science, eds. G. Laporte, S. Nickel, F. Saldanha da Gama, Springer, 2020.

Numerous participations with oral presentations at international conferences:

abroad: Italy, Spain, Portugal, Germany, Austria, France, Great Britain, Ireland, Switzerland, Poland, Bulgaria, Hungary, Greece, Turkey, Albania, Macedonia, Russia, Canada, China , Taiwan, Japan, Saudi Arabia;

in Romania: Bucharest, Iași, Timişoara, Brașov, Arad, Galaṭi, Constanṭa, Tg. Mureș, Baia Mare, Cluj-Napoca.

Numerous scientific collaborations with mathematicians from the country and abroad. Some examples:

Members in the editorial teams of some international journals. Some examples:

Published books by prestigious intenational publishing houses

  1. R. Precup, Ordinary Differential Equations, Walter de Gruyter, Berlin-Boston, 2018, 234 pag. ISBN 978-3-11-044744-6.

  2. G. Kassay, V. Radulescu, Equilibrium Problems and Applications, Elsevier, 2019.

  3. Á. Baricz, D. Jankov Maširević, T.K. Pogány eds., Series of Bessel and Kummer-Type Functions (Lecture Notes in Mathematics Book 2207), Springer, 2018.

  4. Ş. Cobzaş, R. Miculescu, A. Nicolae, Lipschitz Functions (Lecture Notes in Mathematics Book 2241), Springer, 2019.

  5. T. Bulboaca, Santosh B. Joshi, Pranay Goswami, Complex Analysis Theory and Applications, De Gruyter, 2019, 409 pag., https://doi.org/10.1515/9783110657869

  6. H. Lisei, W. Grecksch, M. Iancu, Probability Theory, Examples, Problems, Simulations, World Scientific, 2020, 364 pag. https://doi.org/10.1142/11427

  7. W. Grecksch, H. Lisei eds., Infinite Dimensional and Finite Dimensional Stochastic Equations and Applications in Physics, World Scientific, 2020, https://doi.org/10.1142/11538

  8. N. Costea, A. Kristály, C. Varga, Variational and Monotonicity Methods in Nonsmooth Analysis, Springer Nature, 2021 (to appear).

Conferences / Seminars / Sessions organized by the Center

Conferences of some invited scientific personalities, organized by the Center:

The PhD thesis Analysis of Some Mathematical Models of Cell Dynamics in Hematology elaborated by Dr. Lorand Parajdi, under the supervision of Prof. Dr. Radu Precup was ranked third in the competition for the The Reinhart Heinrich Award for the best thesis in the field of biomathematics. The award is given by the European Society for Mathematical and Theoretical Biology (ESMTB).

 

Representative Projects/Grants funded in the last four years:

  1. Adriana Nicolae: CNCS-UEFISCDI type TE "Optimization and dynamical systems: geometric and logic-based techniques", PN-III-P1-1.1-TE-2019-1306, November 2020 - October 2022.

  2. Kassay Gabor: UEFISCDI, code PN-III-P4-ID-PCE-2016-0190, July 2017- December 2019.

  3. Octavian Agratini: Grant 39/20.08.2018, National Authority for Scientific Research, Ministry of Research and Innovation, offered to support the NAAT2018 International Conference.

  4. Alexandru Kristaly: Eigenvalues on curved spaces (Valori proprii pe spatii curbate), UEFISCDI, PN-III-P4-ID-PCE2020-1001, 2021-2023.

 

Other previous projects of the Center:

  1.  R. Precup, Project CNCS: PN-II-ID-PCE-2011-3-0094 (2011-2016). Title: Operatorial methods for nonlinear systems and applications.

  2. A. Kristaly, Project CNCS: PN-II-ID-PCE-2011-3-0241 (2011-2016). Title: Symmetries in elliptic problems: Euclidean and non-Euclidean techniques.

  3. G. Kohr,  Project CNCS-UEFISCDI PN-II-ID-PCE-2011-3-0899 (2011-2016). Title:  Geometric and analytic aspects of biholomorphic mappings in C n and complex Banach spaces.

  4. M. Kohr, Project CNCS-UEFISCDI PN-II-ID-PCE-2011-3-0994 (2011-2016). Title: Boundary value problems for elliptic systems on non-smooth domains with applications in fluid mechanics.

  5. G. Kassay, Project CNCS-UEFISCDI PN-II-ID-PCE-2011-3-0024 (2011-2016). Title:  The structure and sensitivity of the solution sets of variational inequalities, optimization and equilibrium problems under generalized monotonicity.

 

Selective Publications (2012-2015):

  1.  R. Precup:  Critical point theorems in cones and multiple positive solutions of elliptic problems, Nonlinear Analysis -Theory, Methods & Applications  75 (2012) 834-851.

  2. A. Buica, I. A. Garcia, S. Maza:  Existence of inverse Jacobi multipliers around Hopf points in R3: Emphasis on the center problem,  Journal of Differential Equations 252 (2012) 6324-6336.

  3. A. Kristaly, S.  Ohta:  Caffarelli-Kohn-Nirenberg inequality on metric measure spaces with applications,  Mathematische Annalen  357 (2013) 711-726.

  4. A. Petrusel, I.A. Rus, M.-A. Serban: The role of equivalent metrics in fixed point theory,  Topological Methods in Nonlinear Analysis  41 (2013) 85-112.

  5. B.E. Breckner, C. Varga,  Multiple solutions of Dirichlet problems on the Sierpinski gasket, Journal of Optimization Theory and Applications 167 (2015) 842-861.

  6. I. Graham, H. Hamada, G. Kohr:  A survey on extreme points, support points and Loewner chains in C-n,  Mathematical Reports 15 (2013) 411-423.

  7. G. Kassay, M. Miholca:  Existence results for variational inequalities with surjectivity consequences related to generalized monotone operatorsJournal of Optimization Theory and Applications 159 (2013) 721-740.

  8. O. Agratini:  Approximation by Bezier variant of the Baskakov-Kantorovich operators in the case 0<alpha <1,  Rocky Mountain Journal of Mathematics 44 (2014) 317-327.

  9. D. Kuroiwa, N. Popovici, M. Rocca:  A characterization of cone-convexity for set-valued functions by cone-quasiconvexitySet-Valued and Variational Analysis 23 (2015) 295-304.

  10. T. Grosan, M. Kohr, W.L. Wendland:  Dirichlet problem for a nonlinear generalized Darcy-Forchheimer-Brinkman system in Lipschitz domains Mathematical Methods in the Applied Sciences  38 (2015) 3615-3628.

  11. D. Ariza-Ruiz, G. López-Acedo, A. Nicolae, The asymptotic behavior of the composition of firmly nonexpansive mappings, J. Optim. Theory Appl., 167 (2015), 409-429.

  12. T. Cătinaş, P. Blaga, Gh. Coman, Surfaces generation by blending interpolation on a triangle with one curved sideResults in Mathematics, 64 (2013), 343-355.

  13. N.E. Cho, T. Bulboacă, A class of integral operators preserving subordination and superordination, Complex Variables and Elliptic Equations, 58(7) (2013), 909-921.

  14. M. Iancu, Some applications of variation of Loewner chains in several complex variables, J. Math. Anal. Appl. 421 (2015), 1469-1478.