LIST OF
PUBLICATIONS
Adriana Buică
Department of Applied
Mathematics
Babeş-Bolyai University,
Cluj-Napoca
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.
Papers.
- (with Isaac
García)
Periodic solutions of some perturbed symmetric Euler top, Preprint
2009.
- (with Jaume
Llibre and
Jaume Giné)
Bifurcation of limit cycles from a polynomial degenerate center, Advanced
Nonlinear Studies, accepted.
- (with
Jaume
Llibre and Oleg Makarenkov),
Lipschitz generalization of Malkin
result on the existence and uniqueness of periodic solutions, Preprint
2009.
- (with Jaume
Llibre and Oleg Makarenkov),
Second Bogolubov's theorem for Lipschitz systems and bifurcations of asymptotically
stable periodic solutions in differential equations with jumping
nonlinearities, Preprint 2008.
2009
- (with 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.
2008
- (with 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.
- Contributions
to coincidence degree theory of asymptotically homogeneous operators, Nonlinear
Analysis 68 (2008), 1603-1610.
2007
- (with Aris Daniilidis) Stability of periodic solutions for
Lipschitz systems obtained via the averaging method, Proceedings of the American Mathematical
Society 135 (2007), 3317–3327.
- (with 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.
- (with Veronica Ana
Ilea) Periodic solutions for mixed functional differential equations,
Journal of Mathematical Analysis
and Applications 330 (2007), 576–583 .
- (with 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 .
- (with Jaume Llibre)
Limit cycles of a perturbed cubic polynomial differential center, Chaos, Solitons and Fractals 32 (2007),
1059–1069 .
2006
- (with
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 .
- (with Radu
Precup) Note on the abstract
generalized quasilinearization method, Revue d´ Analyse Numérique et de
Théorie de l´ Approximation 35 (2006),
11-15.
2005
- (with Jaume Llibre)
Bifurcation of limit cycles from a 4-dimensional center in control
systems, International Journal of Bifurcation and Chaos 15 (2005),
2653–2662 .
- Quasilinearization method for nonlinear elliptic
boundary value problems, Journal of Optimization
Theory and Applications 124
(2005), 323–338 .
2004
2003
2002
- (with Radu Precup)
Abstract
generalized quasilinearization method for coincidences, Nonlinear
Studies 9 (2002), 371-386.
- (with 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.
- Existence results for
evolution equations via monotone iterative techniques, Dynamics of
Continuous, Discrete and Impulsive Systems, Series A: Mathematical
Analysis 9 (2002), 487-499.
- (with András
Domokos) Nearness,
accretivity and the solvability of nonlinear equations, Numer.
Funct. Anal. Optim. 23 (2002), 477-493.
- Quasilinearization
for the forced Düffing equation, Studia Univ.
Babeş-Bolyai (Mathematica) 46 (2002), 21-29.
- Monotone iterations for the
initial value problem, Seminar on Fixed Point Theory Cluj Napoca 3
(2002), 137-149.
- Some remarks on monotone iterative
technique, Revue d´ Analyse Numérique et de Théorie de l´
Approximation 31 (2002), 147-154.
- Gronwall-type nonlinear
integral inequalities, Mathematica (Cluj) 44(67) (2002),
19–23 .
2001
2000
- Strong surjections and nearness, Recent trends in
nonlinear analysis, Progress Nonlin. Diff. Eq. Applic. 40 (2000),
Birkhauser Verlag
Basel/Switzerland, 55-58.
- Some remarks on coincidence
theory, Studia
Univ.
Babes-Bolyai (Mathematica) 45 (2000), 39-47.
- Contributions to
coincidence degree theory of some homogeneous operators, Pure
Math. Appl. 11 (2000), 153-159.
- (with 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.
- (with 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.
- Elliptic and
parabolic differential inequalities, Demonstratio Mathematica 33
(2000), 783-792.
1996 – 1993
- Data dependence theorems on
coincidence problems, Studia
Univ.
Babeş-Bolyai (Mathematica) 41 (1996), 33-40.
- Existence and continuous
dependence of solutions of some functional-differential equations, Seminar
on Fixed Point Theory, Preprint 3 (1995), 1-13.
- On the Cauchy problem for a
functional-differential equation, Seminar on Fixed Point Theory,
Preprint 3 (1993), 17-19.