# zbMATH — the first resource for mathematics

## Popa, Dorian

Compute Distance To:
 Author ID: popa.dorian Published as: Popa, D.; Popa, Dorian
 Documents Indexed: 81 Publications since 1994, including 2 Books
all top 5

#### Co-Authors

 24 single-authored 20 Rasa, Ioan 14 Brzdęk, Janusz 12 Xu, Bing 7 Baias, Alina-Ramona 5 Lungu, Nicolaie 4 Pugna, Georgiana 3 Nikodem, Kazimierz 2 Blaga, Florina 2 Cîmpean, Dalia Sabina 2 Inoan, Daniela Ioana 2 Moslehian, Mohammad Sal 1 Crăciun, Ioana 1 Ilca, Maria 1 Jung, Soon-Mo 1 Kerekes, Delia Maria 1 Mesaroş, Laura 1 Moşneguţu, Bianca 1 Nasaireh, Fadel 1 Peter, Ioan Radu 1 Rassias, Michael Th. 1 Rassias, Themistocles Michael 1 Tudose, Lucian 1 Viorel, Adrian 1 Vornicescu, Neculae
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#### Serials

 9 Journal of Mathematical Analysis and Applications 5 Carpathian Journal of Mathematics 4 Applied Mathematics and Computation 4 Aequationes Mathematicae 3 Results in Mathematics 3 Applied Mathematics Letters 3 Nonlinear Functional Analysis and Applications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Publicationes Mathematicae 2 PU.M.A. Pure Mathematics and Applications 2 General Mathematics 2 Seminar on Fixed Point Theory Cluj-Napoca 2 Fixed Point Theory 2 Gazeta Matematică. Seria A 1 Computers & Mathematics with Applications 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Demonstratio Mathematica 1 Journal of Approximation Theory 1 Acta Mathematica Hungarica 1 Journal of Global Optimization 1 Glasnik Matematički. Serija III 1 Studia Universitatis Babeş-Bolyai. Mathematica 1 Expositiones Mathematicae 1 Mathematica 1 Revue d’Analyse Numérique et de Théorie de l’Approximation 1 Filomat 1 Bulletin des Sciences Mathématiques 1 The Ramanujan Journal 1 Mathematical Inequalities & Applications 1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Mediterranean Journal of Mathematics 1 Miskolc Mathematical Notes 1 Advances in Difference Equations 1 Journal of Fixed Point Theory and Applications 1 Journal of Mathematical Inequalities 1 Banach Journal of Mathematical Analysis 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Annals of Functional Analysis 1 Advances in the Theory of Nonlinear Analysis and its Applications 1 Mathematical Analysis and its Applications
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#### Fields

 56 Difference and functional equations (39-XX) 15 General topology (54-XX) 12 Ordinary differential equations (34-XX) 10 Real functions (26-XX) 7 Operator theory (47-XX) 6 Approximations and expansions (41-XX) 4 Partial differential equations (35-XX) 4 Functional analysis (46-XX) 2 Number theory (11-XX) 2 Group theory and generalizations (20-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Convex and discrete geometry (52-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

58 Publications have been cited 729 times in 308 Documents Cited by Year
On the Hyers-Ulam stability of the linear differential equation. Zbl 1222.34069
Popa, Dorian; Raşa, Ioan
2011
Hyers-Ulam stability of the linear recurrence with constant coefficients. Zbl 1095.39024
Popa, Dorian
2005
On the stability of the linear functional equation in a single variable on complete metric groups. Zbl 1295.33004
Jung, Soon-Mo; Popa, Dorian; Rassias, Michael
2014
Hyers–Ulam–Rassias stability of a linear recurrence. Zbl 1079.39027
Popa, Dorian
2005
Hyers-Ulam stability of a first order partial differential equation. Zbl 1236.39030
Lungu, Nicolaie; Popa, Dorian
2012
Ulam stability of operators. Zbl 1393.39001
Brzdęk, Janusz; Popa, Dorian; Raşa, Ioan; Xu, Bing
2018
Hyers-Ulam stability of the linear differential operator with nonconstant coefficients. Zbl 1368.34075
Popa, Dorian; Raşa, Ioan
2012
Note on nonstability of the linear recurrence. Zbl 1126.39019
Brzdęk, J.; Popa, D.; Xu, B.
2006
The Hyers-Ulam stability of nonlinear recurrences. Zbl 1123.39022
Brzdȩk, Janusz; Popa, Dorian; Xu, Bing
2007
Hyers-Ulam stability of Euler’s equation. Zbl 1225.35051
Cimpean, Dalia Sabina; Popa, Dorian
2011
Remarks on stability of linear recurrence of higher order. Zbl 1206.39019
Brzdęk, Janusz; Popa, Dorian; Xu, Bing
2010
On the stability of the linear differential equation of higher order with constant coefficients. Zbl 1211.34065
Cîmpean, Dalia Sabina; Popa, Dorian
2010
Asymptotic aspect of the quadratic functional equation in multi-normed spaces. Zbl 1168.39012
Moslehian, M. S.; Nikodem, K.; Popa, D.
2009
Hyers-Ulam stability for linear equations of higher orders. Zbl 1174.39012
Brzdȩk, J.; Popa, D.; Xu, B.
2008
On nonstability of the linear recurrence of order one. Zbl 1193.39006
Brzdȩk, Janusz; Popa, Dorian; Xu, Bing
2010
The Fréchet functional equation with application to the stability of certain operators. Zbl 1238.39008
Popa, Dorian; Raşa, Ioan
2012
Selections of set-valued maps satisfying a linear inclusion in a single variable. Zbl 1205.39025
Brzdȩk, Janusz; Popa, Dorian; Xu, Bing
2011
Additive selections of $$(\alpha,\beta)$$-subadditive set valued maps. Zbl 1039.28013
Popa, Dorian
2001
On single-valuedness of set-valued maps satisfying linear inclusions. Zbl 1163.26353
Nikodem, Kazimierz; Popa, Dorian
2009
Hyers-Ulam stability with respect to gauges. Zbl 1404.34016
Brzdęk, Janusz; Popa, Dorian; Raşa, Ioan
2017
On the best constant in Hyers-Ulam stability of some positive linear operators. Zbl 1308.41026
Popa, Dorian; Raşa, Ioan
2014
On approximate solutions of the linear functional equation of higher order. Zbl 1204.65147
Brzdȩk, Janusz; Popa, Dorian; Xu, Bing
2011
On selections of general linear inclusions. Zbl 1212.39041
Nikodem, Kazimierz; Popa, Dorian
2009
Best constant in stability of some positive linear operators. Zbl 1353.39028
Popa, Dorian; Raşa, Ioan
2016
On the stability of some classical operators from approximation theory. Zbl 1284.39032
Popa, Dorian; Raşa, Ioan
2013
A property of a functional inclusion connected with Hyers-Ulam stability. Zbl 1189.39032
Popa, Dorian
2009
Hyers-Ulam-Rassias stability of the general linear equation. Zbl 1031.39021
Popa, Dorian
2002
On Ulam stability of a linear difference equation in Banach spaces. Zbl 1436.39002
Baias, Alina Ramona; Popa, Dorian
2020
A stability result for a general linear inclusion. Zbl 1067.39043
Popa, Dorian
2004
On the stability of the first-order linear recurrence in topological vector spaces. Zbl 1201.39014
2010
On the stability of the general linear equation. Zbl 1181.39020
Popa, Dorian
2009
Functional inclusions on square-symmetric groupoids and Hyers-Ulam stability. Zbl 1058.39026
Popa, Dorian
2004
Best Ulam constant for a linear difference equation. Zbl 07238211
Baias, Alina-Ramona; Blaga, Florina; Popa, Dorian
2019
On selections of generalized convex set-valued maps. Zbl 1308.54017
Inoan, Daniela; Popa, Dorian
2014
Best constant in Hyers-Ulam stability of some functional equations. Zbl 1349.39055
Popa, Dorian; Raşa, Ioan
2014
On the stability of the second order linear recurrence. Zbl 1325.39024
Popa, Dorian
2012
Note on nonstability of the linear functional equation of higher order. Zbl 1231.39012
Brzdek, Janusz; Popa, Dorian; Xu, Bing
2011
Locally compact set-valued solutions for the general linear equation. Zbl 1054.39016
Popa, Dorian; Vornicescu, Neculae
2004
Hyers-Ulam stability of Euler’s differential equation. Zbl 1342.34080
Popa, Dorian; Pugna, Georgiana
2016
Stability of points in mean value theorems. Zbl 1324.39028
2013
On the best Ulam constant of the second order linear differential operator. Zbl 1439.34060
Baias, Alina Ramona; Popa, Dorian
2020
Set-valued solutions of a generalized quadratic functional equation. Zbl 1453.39021
Baias, Alina Ramona; Moşneguţu, Bianca; Popa, Dorian
2018
Remarks on stability and non-stability of the linear functional equation of the first order. Zbl 1334.39057
Brzdȩk, Janusz; Popa, Dorian; Xu, Bing
2014
On the Hyers-Ulam stability of a first order partial differential equation. Zbl 1265.26055
Lungu, Nicolaie; Popa, Dorian
2012
Selections of set-valued maps satisfying functional inclusions on square-symmetric grupoids. Zbl 1248.39042
Popa, Dorian
2011
On some differential inequalities. Zbl 1028.34009
Popa, Dorian; Lungu, Nicolaie
2002
Set-valued solutions for an equation of Jensen type. Zbl 1075.39504
Popa, Dorian
1999
On Ulam stability of a third order linear difference equation in Banach spaces. Zbl 1454.39024
Baias, Alina Ramona; Popa, Dorian
2020
Ulam stability of a successive approximation equation. Zbl 1443.39011
Baias, Alina Ramona; Popa, Dorian; Raşa, Ioan
2020
Ulam type stability. Based on the conferences on Ulam type stability (CUTS), Cluj-Napoca, Romania, July 4–9, 2016 and Timisoara, Romania, October 8–13, 2018. Zbl 1431.39001
Brzdęk, Janusz (ed.); Popa, Dorian (ed.); Rassias, Themistocles M. (ed.)
2019
Approximate solutions of the logistic equation and Ulam stability. Zbl 1402.39016
Popa, Dorian; Rasa, Ioan; Viorel, Adrian
2018
Hyers-Ulam stability of the Laplace operator. Zbl 1388.39018
Popa, Dorian; Raşa, Ioan
2018
Steklov averages as positive linear operators. Zbl 06749781
Popa, Dorian; Raşa, Ioan
2016
Hyers-Ulam stability of some differential equations and differential operators. Zbl 1320.34083
Popa, Dorian; Raşa, Ioan
2014
Complete monotonicity and limit of a generalized Euler sequence. Zbl 1308.40002
Popa, Dorian; Raşa, Ioan
2014
A note on stability of the linear functional equations of higher order and fixed points of an operators. Zbl 1282.39026
Brzdȩk, Janusz; Popa, Dorian; Xu, Bing
2012
Remarks on stability of the linear functional equation in single variable. Zbl 1248.39022
Brzdȩk, Janusz; Popa, Dorian; Xu, Bing
2012
On an operatorial inequality. Zbl 1098.47056
Popa, Dorian; Lungu, Nicolaie
2005
On Ulam stability of a linear difference equation in Banach spaces. Zbl 1436.39002
Baias, Alina Ramona; Popa, Dorian
2020
On the best Ulam constant of the second order linear differential operator. Zbl 1439.34060
Baias, Alina Ramona; Popa, Dorian
2020
On Ulam stability of a third order linear difference equation in Banach spaces. Zbl 1454.39024
Baias, Alina Ramona; Popa, Dorian
2020
Ulam stability of a successive approximation equation. Zbl 1443.39011
Baias, Alina Ramona; Popa, Dorian; Raşa, Ioan
2020
Best Ulam constant for a linear difference equation. Zbl 07238211
Baias, Alina-Ramona; Blaga, Florina; Popa, Dorian
2019
Ulam type stability. Based on the conferences on Ulam type stability (CUTS), Cluj-Napoca, Romania, July 4–9, 2016 and Timisoara, Romania, October 8–13, 2018. Zbl 1431.39001
Brzdęk, Janusz (ed.); Popa, Dorian (ed.); Rassias, Themistocles M. (ed.)
2019
Ulam stability of operators. Zbl 1393.39001
Brzdęk, Janusz; Popa, Dorian; Raşa, Ioan; Xu, Bing
2018
Set-valued solutions of a generalized quadratic functional equation. Zbl 1453.39021
Baias, Alina Ramona; Moşneguţu, Bianca; Popa, Dorian
2018
Approximate solutions of the logistic equation and Ulam stability. Zbl 1402.39016
Popa, Dorian; Rasa, Ioan; Viorel, Adrian
2018
Hyers-Ulam stability of the Laplace operator. Zbl 1388.39018
Popa, Dorian; Raşa, Ioan
2018
Hyers-Ulam stability with respect to gauges. Zbl 1404.34016
Brzdęk, Janusz; Popa, Dorian; Raşa, Ioan
2017
Best constant in stability of some positive linear operators. Zbl 1353.39028
Popa, Dorian; Raşa, Ioan
2016
Hyers-Ulam stability of Euler’s differential equation. Zbl 1342.34080
Popa, Dorian; Pugna, Georgiana
2016
Steklov averages as positive linear operators. Zbl 06749781
Popa, Dorian; Raşa, Ioan
2016
On the stability of the linear functional equation in a single variable on complete metric groups. Zbl 1295.33004
Jung, Soon-Mo; Popa, Dorian; Rassias, Michael
2014
On the best constant in Hyers-Ulam stability of some positive linear operators. Zbl 1308.41026
Popa, Dorian; Raşa, Ioan
2014
On selections of generalized convex set-valued maps. Zbl 1308.54017
Inoan, Daniela; Popa, Dorian
2014
Best constant in Hyers-Ulam stability of some functional equations. Zbl 1349.39055
Popa, Dorian; Raşa, Ioan
2014
Remarks on stability and non-stability of the linear functional equation of the first order. Zbl 1334.39057
Brzdȩk, Janusz; Popa, Dorian; Xu, Bing
2014
Hyers-Ulam stability of some differential equations and differential operators. Zbl 1320.34083
Popa, Dorian; Raşa, Ioan
2014
Complete monotonicity and limit of a generalized Euler sequence. Zbl 1308.40002
Popa, Dorian; Raşa, Ioan
2014
On the stability of some classical operators from approximation theory. Zbl 1284.39032
Popa, Dorian; Raşa, Ioan
2013
Stability of points in mean value theorems. Zbl 1324.39028
2013
Hyers-Ulam stability of a first order partial differential equation. Zbl 1236.39030
Lungu, Nicolaie; Popa, Dorian
2012
Hyers-Ulam stability of the linear differential operator with nonconstant coefficients. Zbl 1368.34075
Popa, Dorian; Raşa, Ioan
2012
The Fréchet functional equation with application to the stability of certain operators. Zbl 1238.39008
Popa, Dorian; Raşa, Ioan
2012
On the stability of the second order linear recurrence. Zbl 1325.39024
Popa, Dorian
2012
On the Hyers-Ulam stability of a first order partial differential equation. Zbl 1265.26055
Lungu, Nicolaie; Popa, Dorian
2012
A note on stability of the linear functional equations of higher order and fixed points of an operators. Zbl 1282.39026
Brzdȩk, Janusz; Popa, Dorian; Xu, Bing
2012
Remarks on stability of the linear functional equation in single variable. Zbl 1248.39022
Brzdȩk, Janusz; Popa, Dorian; Xu, Bing
2012
On the Hyers-Ulam stability of the linear differential equation. Zbl 1222.34069
Popa, Dorian; Raşa, Ioan
2011
Hyers-Ulam stability of Euler’s equation. Zbl 1225.35051
Cimpean, Dalia Sabina; Popa, Dorian
2011
Selections of set-valued maps satisfying a linear inclusion in a single variable. Zbl 1205.39025
Brzdȩk, Janusz; Popa, Dorian; Xu, Bing
2011
On approximate solutions of the linear functional equation of higher order. Zbl 1204.65147
Brzdȩk, Janusz; Popa, Dorian; Xu, Bing
2011
Note on nonstability of the linear functional equation of higher order. Zbl 1231.39012
Brzdek, Janusz; Popa, Dorian; Xu, Bing
2011
Selections of set-valued maps satisfying functional inclusions on square-symmetric grupoids. Zbl 1248.39042
Popa, Dorian
2011
Remarks on stability of linear recurrence of higher order. Zbl 1206.39019
Brzdęk, Janusz; Popa, Dorian; Xu, Bing
2010
On the stability of the linear differential equation of higher order with constant coefficients. Zbl 1211.34065
Cîmpean, Dalia Sabina; Popa, Dorian
2010
On nonstability of the linear recurrence of order one. Zbl 1193.39006
Brzdȩk, Janusz; Popa, Dorian; Xu, Bing
2010
On the stability of the first-order linear recurrence in topological vector spaces. Zbl 1201.39014
2010
Asymptotic aspect of the quadratic functional equation in multi-normed spaces. Zbl 1168.39012
Moslehian, M. S.; Nikodem, K.; Popa, D.
2009
On single-valuedness of set-valued maps satisfying linear inclusions. Zbl 1163.26353
Nikodem, Kazimierz; Popa, Dorian
2009
On selections of general linear inclusions. Zbl 1212.39041
Nikodem, Kazimierz; Popa, Dorian
2009
A property of a functional inclusion connected with Hyers-Ulam stability. Zbl 1189.39032
Popa, Dorian
2009
On the stability of the general linear equation. Zbl 1181.39020
Popa, Dorian
2009
Hyers-Ulam stability for linear equations of higher orders. Zbl 1174.39012
Brzdȩk, J.; Popa, D.; Xu, B.
2008
The Hyers-Ulam stability of nonlinear recurrences. Zbl 1123.39022
Brzdȩk, Janusz; Popa, Dorian; Xu, Bing
2007
Note on nonstability of the linear recurrence. Zbl 1126.39019
Brzdęk, J.; Popa, D.; Xu, B.
2006
Hyers-Ulam stability of the linear recurrence with constant coefficients. Zbl 1095.39024
Popa, Dorian
2005
Hyers–Ulam–Rassias stability of a linear recurrence. Zbl 1079.39027
Popa, Dorian
2005
On an operatorial inequality. Zbl 1098.47056
Popa, Dorian; Lungu, Nicolaie
2005
A stability result for a general linear inclusion. Zbl 1067.39043
Popa, Dorian
2004
Functional inclusions on square-symmetric groupoids and Hyers-Ulam stability. Zbl 1058.39026
Popa, Dorian
2004
Locally compact set-valued solutions for the general linear equation. Zbl 1054.39016
Popa, Dorian; Vornicescu, Neculae
2004
Hyers-Ulam-Rassias stability of the general linear equation. Zbl 1031.39021
Popa, Dorian
2002
On some differential inequalities. Zbl 1028.34009
Popa, Dorian; Lungu, Nicolaie
2002
Additive selections of $$(\alpha,\beta)$$-subadditive set valued maps. Zbl 1039.28013
Popa, Dorian
2001
Set-valued solutions for an equation of Jensen type. Zbl 1075.39504
Popa, Dorian
1999
all top 5