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:

• Dynamical systems

• Applied nonlinear analysis

• Optimization and approximation

• Applied Analysis in Mechanics

• Mathematical modeling in medicine

Members:

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. M. Kohr, V. Nistor, W.L. Wendland, The Stokes operator on manifolds with cylindrical ends, Journal of Differential Equations, 407 (2024), 345-373. 3.

2. M. Kohr, R. Precup, Localization of energies in Navier-Stokes models with reaction terms, Analysis and Applications, 22 (2024), 1053-1073

3. A. Petrusel, G. Petrusel, J.-C. Yao, New fixed point results for nonlinear Feng-Liu contractions with applications, Topol. Methods Nonlinear Anal. 63 (2024), no. 1, 153-166.

4. Sanda Micula, Numerical solution of two-dimensional Hammerstein integral equations via quadratic spline collocation, Numer. Algorithms, Vol. 93(3), 2023, 1225-1241 doi:10.1007/s11075-022-01465-x

5. B.E. Breckner, H. Lisei, Gh.I. Simon, Optimal control results for a class of stochastic Schrödinger equations, Applied Mathematics and Computation 407 (2021).

6. A. Petrușel, I.A. Rus, M.A. Serban, Some variants of fibre contraction principle and applications: from existence to the convergence of successive approximations, Fixed Point Theory, 22(2021), No. 2, 795-808.

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

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. Adriana Buică, Armengol Gasull, Many periodic solutions for a second order cubic periodic differential equation, Monatshefte fűr Mathematik 193 (2020), 555-572.

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

11. H. Hamada, M. Iancu, G. Kohr: Spiralshapelike mappings in several complex variables, Ann. Math. Pura Appl., 199 (2020), 2181-2195.

12. T. Groşan, I. Pop, Flow and heat transfer over a permeable biaxial stretching/shrinking sheet in a nanofluid, Neural Computing and Applications, 32 (2020), 4575-4582, (IF 5.102).

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

h-index (Google Scholar, 25.10.2024):

I. Pop: h-index 104;

A. Baricz: h-index 38;

A. Petrusel: h-index 37;

T. Grosan: h-index 35;

A. Kristaly: h-index 28;

R. Precup: h-index 23;

M. Kohr: h-index 22;

T. Bulboaca:h-index 21;

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:

• Localization methods and multiplicity of boundary problems solutions, collaborators from the Technical University of Cluj and the Romanian Academy-Institute of Computing Tiberiu Popoviciu Cluj;

• Mathematical modeling of some medical processes, collaborators from the Cluj Oncological Institute and UMF Cluj;

• Topological methods for discontinuous boundary problems, collaboration with the Department of Mathematics of the University of Santiago de Compostela;

• Hybrid vectorial techniques for nonlinear operatorial systems, collaboration with mathematicians from the University of Perugia;

• Iterative methods for classes of operational equations, collaboration with the group of mathematicians from National Sun Yat-sen University Kaohsiung, Taiwan;

• Complex analysis, collaboration with mathematicians from the University of Toronto.

• Fluid mechanics, collaboration with mathematicians from the University of Padova

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

• A. Petrusel: Co-Editor in Chief Fixed Point Theory and Algorithms for Sciences and Engineering (Springer); member in the editorial board of other17 journals.

• I. Pop: member in the editorial board of 14 journals.

• R. Precup: member in the editorial board of 12 journals.

• T. Bulboaca: member in the editorial board of 8 journals.

• O. Agratini: member in the editorial board of  6 journals.

• A. Baricz: member in the editorial board of  4 journals.

• A. Kristaly: member in the editorial board of 3 journals.

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.

Conferences / Seminars / Sessions organized by the Center

• Workshop on Nonlinear Analysis on the Occasion of the 65th Birthday of Patrizia Pucci, May 25-27, 2017, Cluj-Napoca

• 4th International Conference on Numerical Analysis and Approximation Theory (NAAT2018), September 6-9, 2018, Cluj-Napoca

• 12th Joint Conference on Mathematics and Computer Science, MaCS 2018, June 14-17, 2018, Cluj-Napoca

•  COST Action CA16228 European Network for Game Theory Workshop: Games, Dynamics and Optimization (GDO2019), April 9-11, 2019, Cluj-Napoca

• The session Integral Operators and Layer Potentials, 9th Congress of Romanian Mathematicians, June 28–July 3, 2019, Galaṭi.

• Geometric function theory in several complex variables and complex Banach spaces, Decembrie 1-3, 2021, Cluj-Napoca.

• The session “Analysis and Applications”, 15th Franco -Romanian Conference on  Applied Mathematics, August 28-September 2, 2022, Toulouse.  

• Romanian Itinerant Seminar on Mathematical Analysis and its Applications, Alba Iulia 2021, Brasov 2022

• 2nd Workshop Dedicated to the Memory of Professor Gabriela Kohr, Cluj-Napoca, Romania, December 1-3, 2022

• 14th Joint Conference on Mathematics and Computer Science, MaCS 2022, November 24-27, 2022, Cluj-Napoca, Romania

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

• 2024, 17th April: Dr. Ionut Farcas, University of Texas

• 2024, 12th September: Dr. A.K.B. Chand, Institute of Madras, India

• 2024, 21st March: Prof. dr. Petru Jebelean, University of Timisoara

• 2023, 23rd November: Prof. dr. Calin Martin, University of Vienna

• 2023, 25 May: Dr. Luca Vilasi, University of Messina, Italy

• 2023, 3rd March.03.2023: Prof. dr. Maria Neuss-Radu, University of Erlangen-Nuernberg

• 2022, 23rd November: Prof. dr. Christiane Tammer, Univ.Martin-Luther Halle-Wittenberg

• 2022, 23rd November: dr. Christian Günther, Universitatea Leibniz din Hanovra.

• 2022, 12th November: Prof. dr. Constantin P. Niculescu (Universitatea din Craiova)

• 2022, 24th March: Prof. dr. Marek Galewski (Technical University, Lodz, Poland)

• 2021, 21st October: Dr. Calin Martin (Vienna University)

• 2021, 13th May: Prof. dr. Petru Jebelean (Universitatea de Vest, Timisoara)

• 2020, 5th November: Prof. dr. W.L. Wendland (Stuttgart University, Germany)

• 2019, 4th November: Prof. dr. Christian Günther (Halle, Germany)

• 2019, 6th June: CSI dr. Gabriela Marinoschi (corresp. member of Romanian Academy)

• 2019, 6th June: Prof. dr. Massimiliano Giuli (University of L'Aquila, Italia)

• 2019, 4th June: Prof. dr. Toshiyuki Sugawa (Tohoku University, Sendai, Japan)

Doctoral students and postdocs:

• Jorge Rodriguez-Lopez, Satiago de Compostela, Spain (3 months, 2018; one week 2019)

• Cristina Lois-Prados, Santiago de Compostela, Spain (3 months, 2020)

• Lyna Benzenati, Béjaia, Algeria (2 months, 2018)

• Sylvain Koumla, Abéché, Chad (2 months, 2018; 2 months 2022)

• Nataliia Kolun, Odessa, Ukraine (2022)

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. s

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

3. 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 (2012-2019):

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 operators,  Journal 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-quasiconvexity,  Set-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 side,  Results 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.

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

16. S. Abbas, M. Benchohra, A. Petrusel: Ulam 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).

17. 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)

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

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

20. 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)

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

22. 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)

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

24. 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)