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 .
· Adriana Buică, Some properties
preserved by weak-nearness, Seminar on Fixed Point Theory Cluj-Napoca 2
(2001), 65-70. pdf file
· 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
· 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),
·
Periodic solutions of nonlinear systems, Presa Universitară Clujeană (Cluj University
Press), Cluj-Napoca, 2006.