Publications

Paola Rubbioni
ORCID: 0000-0002-9433-345X

Main research interests

Solutions of differential equations and inclusions with delay.
Stability of solutions for functional differential equations and for integro-differential equations.
Solutions of differential equations and inclusions with impulses.

List of publications

Rubbioni, P.;
Optimal Solutions for a Class of Impulsive Differential Problems with Feedback Controls and Volterra-Type Distributed Delay: A Topological Approach,
preprint (Preprints 2024, 2024060710)
DOI: 10.20944/preprints202406.0710.v1

Cardinali, T.; Matucci, S.; Rubbioni, P.;
Uniform asymptotic stability of a PDE's system arising from a flexible robotics model,
preprint (arXiv:2405.20949)
DOI: 10.48550/arXiv.2405.20949

Cardinali, T.; Matucci, S.; Rubbioni, P.;
Controllability of nonlinear integral equations of Chandrasekhar type,
J. Fixed Point Theory Appl. 24:58 (2022)
DOI :10.1007/s11784-022-00974-5.

Precup, R.; Rubbioni, P.;
Stationary solutions of Fokker-Planck equations with nonlinear reaction terms in bounded domains,
Potential Anal. 57 (2022), no. 2, 181–199
DOI: 10.1007/s11118-021-09911-6

Rubbioni, P.;
Solvability for a Class of Integro-Differential Inclusions Subject to Impulses on the Half-Line,
Mathematics 2022, 10(2), 224
DOI: 10.3390/math10020224

Rubbioni, P.;
Asymptotic stability of solutions for some classes of impulsive differential equations with distributed delay,
Nonlinear Anal. Real World Appl. 61 (2021), 103324
DOI: 10.1016/j.nonrwa.2021.103324

Cardinali, T.; Rubbioni, P.;
Hereditary evolution processes under impulsive effects,
Mediterr. J. Math. 18, 91 (2021)
DOI: 10.1007/s00009-021-01730-8

Cardinali, T.; Rubbioni, P.;
Existence theorems for generalized nonlinear quadratic integral equations via a new fixed point result,
Discr. Cont. Dynam. Sys. - Series S, 13, No. 7, 1947-1955 (2020)
DOI: 10.3934/dcdss.2020152

Benedetti, I.; Cardinali, T.; Gabor, G.; Cardinali, T.; Rubbioni, P.;
Lyapunov pairs in semilinear differential problems with state-dependent impulses,
Set-Valued Var. Anal. 27, No. 2, 585-604 (2019)
DOI:10.1007/s11228-018-0490-7

Cardinali, T.; Rubbioni, P.;
The controllability of an impulsive integro-differential process with nonlocal feedback controls,
Appl. Math. Comput. 347, 29-39 (2019)
DOI: 10.1016/j.amc.2018.10.083

Cardinali, T.; Precup, R.; Rubbioni, P.;
Two abstract approaches in vectorial fixed point theory,
Quaest. Math. 41, No. 2, 173-188 (2018)
DOI: 10.2989/16073606.2017.1376002

Bungardi, S.; Cardinali, T.; Rubbioni, P.;
Nonlocal semilinear integro-differential inclusions via vectorial measures of noncompactness,
Appl. Anal. 96, No. 15, 2526-2544 (2017)
DOI: 10.1080/00036811.2016.1227969

Cardinali, T.; Precup, R.; Rubbioni, P.;
Heterogeneous Vectorial Fixed Point Theorems,
Mediterr. J. Math. 14, No. 2, Art. 83, 12 pp. (2017)
DOI: 10.1007/s00009-017-0888-8

Cardinali, T.; O'Regan, D.; Rubbioni, P.;
Mönch sets and fixed point theorems for multimaps in locally convex topological vector spaces,
Fixed Point Theory 18, No. 1, 147-154 (2017)
DOI: 10.1016/j.jmaa.2016.01.066

Cardinali, T.; Rubbioni, P.;
Corrigendum and addendum to "On the existence of mild solutions of semilinear evolution differential inclusions" [J. Math. Anal. Appl. 308 (2) (2005) 620-635],
J. Math. Anal. Appl. 438, No. 1, 514-517 (2016)
DOI: 10.1016/j.jmaa.2016.01.066

Malaguti, L.; Rubbioni, P.;
Nonsmooth feedback controls of nonlocal dispersal models,
Nonlinearity 29, No. 3, 823-850 (2016)
DOI: 10.1088/0951-7715/29/3/823

Cardinali, T.; Precup, R.; Rubbioni, P.;
A unified existence theory for evolution equations and systems under nonlocal conditions,
J. Math. Anal. Appl. 432, No. 2, 1039-1057 (2015)
DOI: 10.1016/j.jmaa.2015.07.019

Cardinali, T.; Rubbioni, P.;
Aronszajn-Hukuhara type theorem for semilinear differential inclusions with nonlocal conditions,
Electron. J. Qual. Theory Differ. Equ. 2015, No. 45, 1-12 (2015)
DOI: 10.14232/ejqtde.2015.1.45

Cardinali, T.; Papageorgiou, N.S.; Rubbioni, P.;
Bifurcation phenomena for nonlinear superdiffusive Neumann equations of logistic type,
Ann. Mat. Pura Appl. 193, No. 1, 1-21 (2014)
DOI: 10.1007/s10231-012-0263-0

Cardinali, T.; Rubbioni, P.;
Multivalued fixed point theorems in terms of weak topology and measure of weak noncompactness,
J. Math. Anal. Appl. 405, No. 2, 409-415 (2013)

Cardinali, T.; Rubbioni, P.;
Countably condensing multimaps and fixed points,
Electron. J. Qual. Theory Differ. Equ. 2012, No. 83, 1-9 (2012)

Cardinali, T.; Rubbioni, P.;
Impulsive mild solutions for semilinear differential inclusions with nonlocal conditions in Banach spaces,
Nonlinear Anal. T.M.A. 75, No. 2, 871-879 (2012)

Cardinali, T.; Portigiani, F.; Rubbioni, P.;
Nonlocal Cauchy problems and their controllability for semilinear differential inclusions with lower Scorza-Dragoni nonlinearities,
Czechoslovak Math. J. 61 (136), No. 1, 225-245 (2011)

Rubbioni, P.;
A note on semilinear differential inclusions with time delays and impulses under lower Scorza-Dragoni property,
Int. J. Pure Appl. Math. 59, No. 4, 367-374 (2010)

Cardinali, T.; Rubbioni, P.;
A generalization of the Caristi fixed point theorem in metric spaces,
Fixed Point Theory 11, No. 1, 3-10 (2010)

Cardinali, T.; Portigiani, F.; Rubbioni, P.;
Local mild solutions and impulsive mild solutions for semilinear Cauchy problems involving lower Scorza-Dragoni multifunctions,
Topol. Methods Nonlinear Anal. 32, No. 2, 247-259 (2008)

Benedetti, I.; Rubbioni, P.;
Existence of solutions on compact and non-compact intervals for semilinear impulsive differential inclusions with delay,
Topol. Methods Nonlinear Anal. 32, No. 2, 227-245 (2008)

Cardinali, T.; Rubbioni, P.;
Impulsive semilinear differential inclusions: Topological structure of the solution set and solutions on non compact domains,
Nonlinear Anal. T.M.A. 69, No. 1, 73-84 (2008)

Gori, C.; Obukhovskii, V.V.; Rubbioni, P.; Zvyagin, V.;
Optimization of the motion of a visco-elastic fluid via multivalued topological degree method,
Dynam. Systems Appl. 16, 89-104 (2007)

Cardinali, T.; Rubbioni, P.;
An extension to multifunctions of the Keeler-Meir's fixed point theorem,
Fixed Point Theory 7, No. 1, 23-36 (2006)

Cardinali, T.; Rubbioni, P.;
Mild solutions for impulsive semilinear evolution differential inclusions,
J. Appl. Funct. Anal. 1, No. 3, 303-325 (2006)

Gori, C.; Obukhovskii, V.V.; Ragni, M.; Rubbioni, P.;
On some properties of semilinear functional differential inclusions in abstract spaces,
J. Concr. Appl. Math. 4, No. 1, 183-214 (2006)

Cardinali, T.; Rubbioni, P.;
On the existence of mild solutions of semilinear evolution differential inclusions,
J. Math. Anal. Appl. 308, No. 2, 620-635 (2005)

Gori, C.; Obukhovskii, V.V.; Ragni, M.; Rubbioni, P.;
Existence and continuous dependence results for semilinear differential inclusions with infinite delay,
Nonlinear Anal. T.M.A. 51, No. 5, 765-782 (2002)

Obukhovskii, V.V.; Rubbioni, P.;
On a controllability problem for systems governed by semilinear functional differential inclusions in Banach spaces,
Topol. Methods Nonlinear Anal. 15, No. 1, 141-151 (2000)

Ragni, M.; Rubbioni, P.;
Terminal value problems in Banach spaces for functional differential equations,
Dynam. Systems Appl. 9, No. 3, 377-387 (2000)

Marcelli, C; Rubbioni, P.;
Some results on the method of lower and upper solutions for non-compact domains, Nonlinear Anal. T.M.A. 30, No. 8, 4903-4908 (1997),
Proc. 2nd World Congress of Nonlinear Analysts

Marcelli, C; Rubbioni, P.;
A new extension of classical Muller's theorem,
Nonlinear Anal. T.M.A. 28, No. 11, 1759-1767 (1997)

Ragni, M.; Rubbioni, P.;
On a terminal value problem in hereditary setting,
Atti Sem. Mat. Fis. Univ. Modena, XLIV, 427-442 (1996)

Ragni, M.; Rubbioni, P.;
Definizione e proprietà di un integrale di Fubini-Tonelli nel senso di Burkill-Cesari su una coppia di curve BV,
Atti Sem. Mat. Fis. Univ. Modena, XLIII, 443-466 (1995) 

Interdisciplinary publication

De Socio, G.V.; Rubbioni, P.; Botta, D.; Cenci, E.; Belati, A.; Paggi, R.; Pasticci, M.B.; Mencacci, A.;
Measurement and prediction of antimicrobial resistance in bloodstream infections by ESKAPE pathogens and Escherichia coli,
Journal of Global Antimicrobial Resistance, 19, 154-160 (2019)
DOI: 10.1016/j.jgar.2019.05.013