LIST OF PUBLICATIONS

                Adriana Buică, Department of Mathematics, Babeş-Bolyai University, Cluj-Napoca, Romania

                    e-mail: abuica at math.ubbcluj.ro

            2023

·       Adriana Buică, György Tὅtὅs, Characterization of Ulam-Hyers stability of  linear differential equations with periodic coefficients, Journal of Mathematical Analysis and Applications, in press.

·       Adriana Buică, Bifurcations from a normally degenerate cycle in forced planar differential equations, Nonlinear Differential Equations and Applications NoDEA, in press.

·       Adriana Buică, Ulam-Hyers stability and exponentially dichotomic equations in Banach spaces, Electronic Journal of Qualitative Theory of Differential Equations, 2023 no. 8, 1-10.

·       Adriana Buică, Addendum to “Ulam-Hyers stability and exponentially dichotomic equations in Banach spaces”, Electronic Journal of Qualitative Theory of Differential Equations, 2023 no. 43, 1-2.

2021

·       Adriana Buică, Ulam-Hyers stability and exponentially stable evolution equations in Banach spaces, Carpathian Journal of Mathematics 37 (2021), 339-344.

2020

·       Adriana Buică, Ioan A. Rus, Marcel Adrian Șerban, Zero-point principle of ball near-identity operators and applications to implicit operator problem, Fixed Point Theory, 21 (2020), 79-92.

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

2019

·       Adriana Buică, Jaume Giné and Maite Grau, On the critical points of the flight return time function of perturbed closed orbits, Journal of Differential Equations, 266 (2019), 8344-8369.

2018

·       Adriana Buică, Perturbed normalizers and Melnikov functions, Journal of Mathematical Analysis and Applications, 464 (2018), 266-273.

2017

·       Adriana Buică, On the equivalence of the Melnikov functions method and the averaging method, Qualitative Theory of Dynamical Systems, 16 (2017), 547-560.

2015

·        Adriana Buică and Isaac García,  Inverse Jacobi last multipliers and first integrals for nonautonomous differential systems, Zeitschrift für angewandte Mathematik und Physik, 66 (2015), 573-585.

·       Adriana Buică,  Jaume Giné and Maite Grau, Essential perturbations of polynomial vector fields with a period annulus, Communications on Pure and Applied Analysis, 14 (2015), 1073-1095.

·       Adriana Buică,  Jaume Llibre and Oleg Makarenkov, A note on forced oscillations in differential equations with jumping nonlinearities, Differential Equations and Dynamical Systems, 23 (2015), 415-421. pdf file 

2014

·       Adriana Buică, Isaac García and Susanna Maza, Hopf bifurcation and inverse Jacobi last multipliers, Journal of Differential Equations, 256 (2014), 310-325. pdf file 

·       Adriana Buică, Isaac García and Susanna Maza, Some remarks on inverse Jacobi  multipliers around Hopf singularities, Journal of Mathematical Analysis and Applications, 418 (2014), 1074-1083. pdf file

·       Adriana Buică, Jaume Giné and  Jaume Llibre, Periodic solutions for nonlinear periodic differential systems: the second order bifurcation function, Topological Methods in Nonlinear Analysis, 43 (2014), 403-419. pdf file 

2013

·       Adriana Buică, Isaac García and Susanna Maza, Centers in a quadratic system obtained from a scalar third order differential equation,  Differential and Difference Equations with Applications, Springer Proceedings in Mathematics & Statistics, 47 (2013). pdf file 

·       Adriana Buică, Isaac García and Susanna Maza, Inverse Jacobi multipliers: recent applications in dynamical systems, Progress and Challenges in Dynamical Systems,  Springer Proceedings in Mathematics & Statistics, 54 (2013), 127-141.

2012

·       Adriana Buică, Isaac García and Susanna Maza, Existence of inverse Jacobi multipliers around Hopf points in R^3: Emphasis on the center problem, Journal of Differential Equations, 252 (2012), 6324-6336. pdf file 

·        Adriana Buică,  Jaume Giné and  Jaume Llibre, A second order analysis of the periodic solutions for nonlinear periodic differential systems with a small parameter, Physica D 241 (2012), 528-533. pdf file 

·       Adriana Buică and  Rafael Ortega, Persistence of equilibria as periodic solutions of forced systems,  Journal of Differential Equations 252 (2012), 2210-2221.  pdf file      

·       Adriana Buică,  Jaume Llibre and Oleg Makarenkov, Bifurcations from nondegenerate families of periodic solutions in Lipschitz systems,  Journal of Differential Equations 252 (2012), 3899-3919.  pdf file  

2010

·       Adriana Buică,  Isaac García, Periodic solutions of some perturbed symmetric Euler top, Topological Methods in Nonlinear Analysis 36 (2010), 91-100. pdf file

·       Adriana Buică, Jaume Llibre and  Jaume Giné, Bifurcation of limit cycles from a polynomial degenerate center, Advanced Nonlinear Studies  10 (2010), 597-609. pdf file

2009

·       Adriana Buică,  Jaume Llibre and Oleg Makarenkov, Asymptotic stability of periodic solutions for nonsmooth differential equations with application to the nonsmooth van der Pol oscillator,  SIAM Journal on  Mathematical  Analysis  40 (2009),  2478-2495. pdf file

2008

·       Adriana Buică, Jaume Llibre and Oleg Makarenkov, To Mitropol’skii Yu. A. theorem on periodic solutions of systems of nonlinear differential equations with non-differentiable right-hand-sides, Doklady Mathematics  78 (2008), 525–527. pdf file

·       Adriana Buică,  Contributions to coincidence degree theory of asymptotically homogeneous operators, Nonlinear Analysis  68 (2008), 1603-1610.   pdf file

2007

·       Adriana Buică and  Aris Daniilidis, Stability of periodic solutions for Lipschitz systems obtained via the averaging method,  Proceedings of the American Mathematical Society  135 (2007), 3317–3327.  pdf file

·       Adriana Buică,  Armengol Gasull and Jiazhong Yang, The third order Melnikov function of a quadratic center under quadratic perturbations,  Journal of Mathematical Analysis and Applications 331 (2007), 443–454. pdf file

·       Adriana Buică and Veronica Ana Ilea, Periodic solutions for mixed functional differential equations, Journal of Mathematical Analysis and Applications  330 (2007), 576–583 . pdf file

·       Adriana Buică,  Jean-Pierre Françoise and Jaume Llibre, Periodic solutions of nonlinear periodic differential systems with a small parameter, Communications on Pure and Applied Analysis  6 (2007), 103–111. pdf file

·        Adriana Buică and  Jaume Llibre, Limit cycles of a perturbed cubic polynomial differential center, Chaos, Solitons and Fractals  32 (2007), 1059–1069 .  pdf file   

2006

·       Adriana Buică and  Jürgen Appell, Numerical ranges for pairs of operators, duality mappings with gauge function, and spectra of nonlinear operators,  Mediterranean Journal of Mathematics  3 (2006), 1–14. pdf file

·       Adriana Buică and Radu Precup, Note on the abstract generalized quasilinearization method, Revue d´ Analyse Numérique et de Théorie de l´ Approximation  35 (2006), 11-15. pdf file

2005

·       Adriana Buică and Jaume Llibre, Bifurcation of limit cycles from a 4-dimensional center in control systems, International Journal of Bifurcation  and Chaos   15 (2005), 2653–2662 .  pdf file    

·       Adriana Buică,  Quasilinearization method for nonlinear elliptic boundary value problems,  Journal of Optimization Theory and Applications  124 (2005), 323–338 . pdf file

 2004

·       Adriana Buică, Abstract generalized quasilinearization method for coincidences with applications to elliptic boundary value problems,  Scientiae Mathematicae Japonicae  60 (2004), 619–626 .

·       Adriana Buică and  Jaume Llibre, Averaging methods for finding  periodic orbits via  Brouwer degree, Bulletin des sciences mathématiques 128 (2004), 7-22.  pdf file

 2003

·       Adriana Buică,  Existence of strong solutions of fully nonlinear elliptic equations ,  Analysis and optimization of differential systems, Editors  V.Barbu, I.Lasiecka, D.Tiba and C.Varsan,  Kluwer Academic Publishers, Boston/Dordrecht/London, 2003, 69-77. pdf file

 2002

·       Adriana Buică and Radu Precup, Abstract generalized quasilinearization method for coincidences, Nonlinear Studies 9 (2002), 371-386.   pdf file 

·       Adriana Buică and Radu Precup,  Monotone Newton-type iterations for nonlinear equations, Proc. Tiberiu Popoviciu Itinerant Seminar of Funct. Eqn., Approx. Convexity (E. Popoviciu ed.), Cluj-Napoca, 2002, 63-75.  pdf file

·       Adriana Buică,  Existence results for evolution equations via monotone iterative techniques, Dynamics of Continuous, Discrete and  Impulsive  Systems, Series A: Mathematical Analysis  9 (2002),  487-499.  pdf file 

·        Adriana Buică and András Domokos, Nearness, accretivity and the solvability of nonlinear equations, Numer. Funct. Anal. Optim.  23 (2002), 477-493. pdf file

·       Adriana Buică,  Quasilinearization for the forced Düffing equation, Studia Univ. Babeş-Bolyai (Mathematica) 46 (2002), 21-29. pdf file

·       Adriana Buică,  Monotone iterations for the initial value problem, Seminar on Fixed Point Theory Cluj Napoca 3 (2002), 137-149.  pdf file

·       Adriana Buică,  Some remarks on monotone iterative technique, Revue d´ Analyse Numérique et de Théorie de l´ Approximation 31 (2002), 147-154.  pdf file

·       Adriana Buică,  Gronwall-type nonlinear integral inequalities, Mathematica (Cluj) 44(67) (2002), 19–23 .

2001

·       Adriana Buică,  Some properties preserved by weak-nearness, Seminar on Fixed Point Theory Cluj-Napoca 2 (2001), 65-70. pdf file

      2000

·       Adriana Buică,  Strong surjections and nearness, Recent trends in nonlinear analysis, Progress Nonlin. Diff. Eq. Applic. 40 (2000), Birkhauser Verlag Basel/Switzerland, 55-58. pdf file

·       Adriana Buică,  Some remarks on coincidence theory, Studia Univ. Babes-Bolyai (Mathematica) 45 (2000), 39-47.  

·       Adriana Buică,  Contributions to coincidence degree theory of some homogeneous operators, Pure Math. Appl. 11 (2000), 153-159.   

·        Adriana Buică and Florica Aldea, On Peetre's condition in the coincidence theory. I. Abstract results, Proc. Tiberiu Popoviciu Itinerant Seminar Funct. Eqn., Approx. Convexity (E. Popoviciu, ed.), Cluj-Napoca, May 2000, 22-29. pdf file

·        Adriana Buică and Florica Aldea, On Peetre's condition in the coincidence theory. II. Relations with other coincidence theorems and applications, Séminaire de la théorie de la meilleure approximation (E. Popoviciu ed.), Cluj-Napoca, October 2000, 17-27. pdf file

·       Adriana Buică,  Elliptic and parabolic differential inequalities, Demonstratio Mathematica 33 (2000), 783-792.  pdf file

- 1993

·       Adriana Buică,  Data dependence theorems on coincidence problems, Studia Univ. Babeş-Bolyai (Mathematica) 41 (1996), 33-40.

·       Adriana Buică,  Existence and continuous dependence of solutions of some functional-differential equations, Seminar on Fixed Point Theory, Preprint 3 (1995), 1-13.

·       Adriana Buică,  On the Cauchy problem for a functional-differential equation, Seminar on Fixed Point Theory, Preprint 3 (1993), 17-19. 
 

Books  

·        Principii de coincidenţă si aplicaţii, (Coincidence principles and applications),  Presa Universitară Clujeană (Cluj University Press), Cluj-Napoca, 2001.

        ·        Periodic solutions of nonlinear systems, Presa Universitară Clujeană (Cluj University Press), Cluj-Napoca, 2006.