## Vrabie, Ioan I.

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 Author ID: vrabie.ioan-i Published as: Vrabie, Ioan I.; Vrabie, I. I.; Vrabile, Ioan I. more...less External Links: MGP · Google Scholar · ResearchGate · Math-Net.Ru · dblp · GND
 Documents Indexed: 93 Publications since 1974, including 9 Books 3 Contributions as Editor Reviewing Activity: 281 Reviews Biographic References: 2 Publications Co-Authors: 22 Co-Authors with 48 Joint Publications 574 Co-Co-Authors
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### Co-Authors

 47 single-authored 15 Necula, Mihai 13 Cârjă, Ovidiu 5 Lorenzi, Alfredo 5 Mitidieri, Enzo Luigi 5 Pavel, Nicolae H. 5 Popescu, Marius Constantin 4 Diaz Diaz, Jesus Ildefonso 3 Burlică, Monica-Dana 3 Roşu, Daniela 2 Barbu, Viorel 1 Aizicovici, Sergiu 1 Bejenaru, Ioan 1 Benedetti, Irene 1 Clément, Philippe J. E. 1 Invernizzi, Sergio 1 Lefter, Cătălin-George 1 Malaguti, Luisa 1 Paicu, Angela 1 Taddei, Valentina 1 Thieme, Horst R. 1 Wang, Rongnian 1 Yu, Yangyang
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### Serials

 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Analele Științifice ale Universității Al. I. Cuza din Iași. (Serie Nouă.) Secțiunea Ia. Matematică-Informatică 4 Buletinul Institutului Politehnic din Iași. Secția I 4 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Topological Methods in Nonlinear Analysis 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 3 Nonlinear Analysis. Theory, Methods & Applications 2 Journal of Mathematical Analysis and Applications 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Transactions of the American Mathematical Society 2 Set-Valued Analysis 2 Electronic Journal of Differential Equations (EJDE) 2 North-Holland Mathematics Studies 2 Pitman Monographs and Surveys in Pure and Applied Mathematics 1 Applicable Analysis 1 Inverse Problems 1 Israel Journal of Mathematics 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 1 Bulletin Mathématique de la Société des Sciences Mathématiques de la République Socialiste de Roumanie. Nouvelle Série 1 Hiroshima Mathematical Journal 1 Journal of Functional Analysis 1 Proceedings of the American Mathematical Society 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Rendiconti del Seminario Matematico 1 Revista Matemática de la Universidad Complutense de Madrid 1 Differential and Integral Equations 1 Panamerican Mathematical Journal 1 Dynamic Systems and Applications 1 Journal of Dynamics and Differential Equations 1 Journal of Inverse and Ill-Posed Problems 1 NoDEA. Nonlinear Differential Equations and Applications 1 Buletinul Academiei de Științe a Republicii Moldova. Matematica 1 Analele Universității din Timișoara. Seria Matematică-Informatică 1 Communications in Contemporary Mathematics 1 Journal of Evolution Equations 1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 Dynamics of Partial Differential Equations 1 Lecture Notes in Pure and Applied Mathematics 1 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică 1 Discrete and Continuous Dynamical Systems. Series S 1 Set-Valued and Variational Analysis 1 Annals of the Academy of Romanian Scientists. Mathematics and its Applications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Libertas Mathematica. New Series 1 Monographs and Research Notes in Mathematics
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### Fields

 68 Ordinary differential equations (34-XX) 52 Operator theory (47-XX) 44 Partial differential equations (35-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 9 Integral equations (45-XX) 7 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Functional analysis (46-XX) 3 General topology (54-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

72 Publications have been cited 721 times in 403 Documents Cited by Year
Compactness methods for nonlinear evolutions. 2nd ed. Zbl 0842.47040
Vrabie, I. I.
1995
$$C_0$$-semigroups and applications. Zbl 1119.47044
Vrabie, Ioan I.
2003
Compactness methods for nonlinear evolutions. Zbl 0721.47050
Vrabie, I. I.
1987
Existence in the large for nonlinear delay evolution inclusions with nonlocal initial conditions. Zbl 1232.35185
Vrabie, Ioan I.
2012
A class of nonlinear evolution equations subjected to nonlocal initial conditions. Zbl 1200.34068
Paicu, Angela; Vrabie, Ioan I.
2010
Periodic solutions for nonlinear evolution equations in a Banach space. Zbl 0701.34074
Vrabie, Ioan I.
1990
Viability, invariance and applications. Zbl 1239.34068
Cârjă, Ovidu; Necula, Mihai; Vrabie, Ioan I.
2007
Existence for reaction diffusion systems. A compactness method approach. Zbl 0815.35132
Díaz, J. I.; Vrabie, I. I.
1994
The nonlinear version of Pazy’s local existence theorem. Zbl 0406.34064
Vrabie, Ioan I.
1979
Delay evolution equations with mixed nonlocal plus local initial conditions. Zbl 1321.34102
Vrabie, Ioan I.
2015
Delay differential evolutions subjected to nonlocal initial conditions. Zbl 1348.34001
Burlică, Monica-Dana; Necula, Mihai; Roşu, Daniela; Vrabie, Ioan I.
2016
Existence for nonlinear functional differential equations. Zbl 0655.34055
Mitidieri, Enzo; Vrabie, Ioan I.
1987
An abstract approximate controllability result and applications to elliptic and parabolic systems with dynamic boundary conditions. Zbl 0983.93005
Bejenaru, Ioan; Diaz, Jesus Ildefonso; Vrabie, Ioan I.
2001
An existence result for a class of nonlinear evolution equations in Banach spaces. Zbl 0493.34050
Vrabie, Ioan I.
1982
Necessary and sufficient conditions for viability for semilinear differential inclusions. Zbl 1172.34040
Cârja, Ovidiu; Necula, Mihai; Vrabie, Ioan I.
2009
Equations d’évolution multivoques dans des espaces de Banach. Zbl 0388.34036
Pavel, Nicolae H.; Vrabie, Ioan I.
1978
Existence for nonlinear evolution inclusions with nonlocal retarded initial conditions. Zbl 1232.34093
Vrabie, Ioan I.
2011
Differential equations. An introduction to basic concepts, results and applications. Zbl 1070.34001
Vrabie, Ioan I.
2004
Necessary and sufficient conditions for viability for nonlinear evolution inclusions. Zbl 1179.34068
Cârjă, Ovidiu; Necula, Mihai; Vrabie, Ioan I.
2008
Some new viability results for semilinear differential inclusions. Zbl 0876.34069
Cârjă, Ovidiu; Vrabie, Ioan I.
1997
A class of strongly nonlinear functional differential equations. Zbl 0667.34080
Mitidieri, Enzo; Vrabie, Ioan I.
1988
Global solutions for nonlinear delay evolution inclusions with nonlocal initial conditions. Zbl 1266.34127
Vrabie, Ioan I.
2012
Differential inclusions governed by non convex perturbations of $$m$$- accretive operators. Zbl 0736.34014
Mitidieri, Enzo; Vrabie, Ioan I.
1989
Existence of periodic solutions for a class of nonlinear evolution equations. Zbl 0815.34051
1994
Compactness methods and flow-invariance for perturbed nonlinear semigroups. Zbl 0463.34054
Vrabie, Ioan I.
1981
Nonlinear retarded evolution equations with nonlocal initial conditions. Zbl 1263.34092
Vrabie, Ioan I.
2012
Compactness methods for an abstract nonlinear Volterra integrodifferential equation. Zbl 0459.45011
Vrabie, Ioan I.
1981
Relatively compact orbits and compact attractors for a class of nonlinear evolution equations. Zbl 1055.34119
Thieme, Horst R.; Vrabie, Ioan I.
2003
Almost periodic solutions for nonlinear delay evolutions with nonlocal initial conditions. Zbl 1275.35017
Vrabie, Ioan I.
2013
A compactness criterion in C(0,T;X) for subsets of solutions of nonlinear evolution equations governed by accretive operators. Zbl 0612.34059
Vrabie, Ioan I.
1985
Propriétés de compacité de l’opérateur de Green généralisé pour l’équation des milieux poreux. (Compactness properties of the generalized Green operator associated to the porous media equation). Zbl 0696.35067
Diaz, Jesus Ildefonso; Vrabie, Ioan I.
1989
Viability for delay evolution equations with nonlocal initial conditions. Zbl 1326.34103
Necula, Mihai; Popescu, Marius; Vrabie, Ioan I.
2015
Anti-periodic solutions to strongly nonlinear evolution equations in Hilbert spaces. Zbl 1009.34053
Aizicovici, S.; Pavel, N. H.; Vrabie, I. I.
1998
Viability for differential inclusions on graphs. Zbl 1182.34083
Necula, Mihai; Popescu, Marius; Vrabie, Ioan I.
2008
Viability results for nonlinear perturbed differential inclusions. Zbl 0960.34047
Carja, Ovidiu; Vrabie, Ioan I.
1999
Compactness of the Green operator of nonlinear diffusion equations: Application to Boussinesq type systems in fluid dynamics. Zbl 0841.35048
Díaz, J. I.; Vrabie, I. I.
1994
Semi-linear evolution equations with multivalued right hand side in Banach spaces. Zbl 0421.34065
Pavel, Nicolae H.; Vrabie, Ioan I.
1979
Identification for a semilinear evolution equation in a Banach space. Zbl 1205.34072
Lorenzi, Alfredo; Vrabie, Ioan I.
2010
A viability result for a class of fully nonlinear reaction-diffusion systems. Zbl 1165.34040
Necula, Mihai; Vrabie, Ioan I.
2008
Compactness of the solution operator for a linear evolution equation with distributed measures. Zbl 1051.47035
Vrabie, Ioan I.
2002
Differential equations on closed sets. Zbl 1095.34002
Cârjă, Ovidiu; Vrabie, Ioan I.
2005
Semilinear delay evolution equations with measures subjected to nonlocal initial conditions. Zbl 1409.34064
Benedetti, I.; Malaguti, L.; Taddei, V.; Vrabie, I. I.
2016
Nonlinear Volterra delay evolution inclusions subjected to nonlocal initial conditions. Zbl 07473905
Yu, Yang-Yang; Wang, Rong-Nian; Vrabie, Ioan I.
2021
An identification problem for a linear evolution equation in a Banach space and applications. Zbl 1217.35213
Lorenzi, Alfredo; Vrabie, Ioan I.
2011
Differential equations. An introduction to basic concepts, results and applications. 2nd ed. Zbl 1241.34002
Vrabie, Ioan I.
2011
Evolution equations on locally closed graphs and applications mihai necula, marius popescu, ioan I. Vrabie. Zbl 1239.34072
Necula, Mihai; Popescu, Marius; Vrabie, Ioan I.
2009
Viable domains for differential equations governed by Carathéodory perturbations of nonlinear $$m$$-accretive operators. Zbl 1049.34076
Cârjă, Ovidiu; Vrabie, Ioan I.
2002
Nonlinear delay evolution inclusions with general nonlocal initial conditions. Zbl 1335.34121
Necula, Mihai; Vrabie, Ioan I.
2015
Upper semicontinuous perturbations of accretive operators. Zbl 0594.47047
Vrabie, Ioan I.
1985
An identification problem for a semilinear evolution delay equation. Zbl 1288.34069
Lorenzi, Alfredo; Vrabie, Ioan I.
2014
Nonlinear integrodifferential equations in a Banach space. Zbl 0722.45012
Mitidieri, Enzo; Vrabie, Ioan I.
1988
Une méthode de compacite pour une classe d’équations d’évolution non linéaires. Zbl 0484.34042
Vrabie, Ioan I.
1981
An existence result for a nonlinear boundary-value problem of hyperbolic type. Zbl 0364.35037
Barbu, Viorel; Vrabie, Ioan I.
1977
Differential equations associated with continuous and dissipative time - dependent domain operators. Zbl 0426.34003
Pavel, Nicolae H.; Vrabie, Ioan I.
1979
Nonlinear evolution equations on locally closed graphs. Zbl 1202.34111
Necula, Mihai; Popescu, Marius; Vrabie, Ioan I.
2010
Abstract reaction-diffusion systems with nonlocal initial conditions. Zbl 1293.34077
Burlică, Monica-Dana; Roşu, Daniela; Vrabie, Ioan I.
2014
Tangent sets, viability for differential inclusions and applications. Zbl 1238.34114
Cârjă, Ovidiu; Necula, Mihai; Vrabie, Ioan I.
2009
Continuity with respect to the data for a delay evolution equation with nonlocal initial conditions. Zbl 1264.34126
Burlică, Monica-Dana; Roşu, Daniela; Vrabie, Ioan I.
2012
A class of semilinear delay differential equations with nonlocal initial conditions. Zbl 1383.34096
Vrabie, Ioan I.
2018
Semilinear delay evolution equations with nonlocal initial conditions. Zbl 1391.35246
Vrabie, Ioan I.
2014
Nonlinear delay evolution inclusions on graphs. Zbl 1320.93024
Necula, Mihai; Popescu, Marius; Vrabie, Ioan I.
2014
Compact perturbations of accretive operators in Hilbert spaces. Zbl 0594.47046
Vrabie, Ioan I.
1985
Compact perturbations of weakly equicontinuous semigroups. Zbl 0617.34064
Vrabie, I. I.
1986
Some compactness methods in the theory of nonlinear evolution equations with applications to P.D.E. Zbl 0648.34071
Vrabie, Ioan I.
1987
Un théorème d’existence pour une classe d’équations d’évolution non linéaires. Zbl 0484.34043
Vrabie, Ioan I.
1981
Compactness in $$L^ p$$ of the set of solutions to a nonlinear evolution equation. Zbl 0839.34077
Vrabie, Ioan I.
1995
Le problème du temps optimal pour des équations différentielles multivoques. Zbl 0368.49014
Vrabie, Ioan I.
1977
Une méthode de compacite pour une classe d’inéquations d’évolution non linéaires. Zbl 0444.35047
Vrabie, Ioan I.
1980
Nagumo viability theorem. revisited. Zbl 1099.34057
Vrabie, Ioan I.
2006
An identification problem for a nonlinear evolution equation in a Banach space. Zbl 1250.35070
Lorenzi, Alfredo; Vrabie, Ioan I.
2012
A Nagumo type viability theorem. Zbl 1164.34468
Vrabie, Ioan I.
2005
Viability for semilinear differential inclusions via the weak sequential tangency condition. Zbl 1011.34051
Cârjǎ, Ovidiu; Vrabie, Ioan I.
2001
Nonlinear Volterra delay evolution inclusions subjected to nonlocal initial conditions. Zbl 07473905
Yu, Yang-Yang; Wang, Rong-Nian; Vrabie, Ioan I.
2021
A class of semilinear delay differential equations with nonlocal initial conditions. Zbl 1383.34096
Vrabie, Ioan I.
2018
Delay differential evolutions subjected to nonlocal initial conditions. Zbl 1348.34001
Burlică, Monica-Dana; Necula, Mihai; Roşu, Daniela; Vrabie, Ioan I.
2016
Semilinear delay evolution equations with measures subjected to nonlocal initial conditions. Zbl 1409.34064
Benedetti, I.; Malaguti, L.; Taddei, V.; Vrabie, I. I.
2016
Delay evolution equations with mixed nonlocal plus local initial conditions. Zbl 1321.34102
Vrabie, Ioan I.
2015
Viability for delay evolution equations with nonlocal initial conditions. Zbl 1326.34103
Necula, Mihai; Popescu, Marius; Vrabie, Ioan I.
2015
Nonlinear delay evolution inclusions with general nonlocal initial conditions. Zbl 1335.34121
Necula, Mihai; Vrabie, Ioan I.
2015
An identification problem for a semilinear evolution delay equation. Zbl 1288.34069
Lorenzi, Alfredo; Vrabie, Ioan I.
2014
Abstract reaction-diffusion systems with nonlocal initial conditions. Zbl 1293.34077
Burlică, Monica-Dana; Roşu, Daniela; Vrabie, Ioan I.
2014
Semilinear delay evolution equations with nonlocal initial conditions. Zbl 1391.35246
Vrabie, Ioan I.
2014
Nonlinear delay evolution inclusions on graphs. Zbl 1320.93024
Necula, Mihai; Popescu, Marius; Vrabie, Ioan I.
2014
Almost periodic solutions for nonlinear delay evolutions with nonlocal initial conditions. Zbl 1275.35017
Vrabie, Ioan I.
2013
Existence in the large for nonlinear delay evolution inclusions with nonlocal initial conditions. Zbl 1232.35185
Vrabie, Ioan I.
2012
Global solutions for nonlinear delay evolution inclusions with nonlocal initial conditions. Zbl 1266.34127
Vrabie, Ioan I.
2012
Nonlinear retarded evolution equations with nonlocal initial conditions. Zbl 1263.34092
Vrabie, Ioan I.
2012
Continuity with respect to the data for a delay evolution equation with nonlocal initial conditions. Zbl 1264.34126
Burlică, Monica-Dana; Roşu, Daniela; Vrabie, Ioan I.
2012
An identification problem for a nonlinear evolution equation in a Banach space. Zbl 1250.35070
Lorenzi, Alfredo; Vrabie, Ioan I.
2012
Existence for nonlinear evolution inclusions with nonlocal retarded initial conditions. Zbl 1232.34093
Vrabie, Ioan I.
2011
An identification problem for a linear evolution equation in a Banach space and applications. Zbl 1217.35213
Lorenzi, Alfredo; Vrabie, Ioan I.
2011
Differential equations. An introduction to basic concepts, results and applications. 2nd ed. Zbl 1241.34002
Vrabie, Ioan I.
2011
A class of nonlinear evolution equations subjected to nonlocal initial conditions. Zbl 1200.34068
Paicu, Angela; Vrabie, Ioan I.
2010
Identification for a semilinear evolution equation in a Banach space. Zbl 1205.34072
Lorenzi, Alfredo; Vrabie, Ioan I.
2010
Nonlinear evolution equations on locally closed graphs. Zbl 1202.34111
Necula, Mihai; Popescu, Marius; Vrabie, Ioan I.
2010
Necessary and sufficient conditions for viability for semilinear differential inclusions. Zbl 1172.34040
Cârja, Ovidiu; Necula, Mihai; Vrabie, Ioan I.
2009
Evolution equations on locally closed graphs and applications mihai necula, marius popescu, ioan I. Vrabie. Zbl 1239.34072
Necula, Mihai; Popescu, Marius; Vrabie, Ioan I.
2009
Tangent sets, viability for differential inclusions and applications. Zbl 1238.34114
Cârjă, Ovidiu; Necula, Mihai; Vrabie, Ioan I.
2009
Necessary and sufficient conditions for viability for nonlinear evolution inclusions. Zbl 1179.34068
Cârjă, Ovidiu; Necula, Mihai; Vrabie, Ioan I.
2008
Viability for differential inclusions on graphs. Zbl 1182.34083
Necula, Mihai; Popescu, Marius; Vrabie, Ioan I.
2008
A viability result for a class of fully nonlinear reaction-diffusion systems. Zbl 1165.34040
Necula, Mihai; Vrabie, Ioan I.
2008
Viability, invariance and applications. Zbl 1239.34068
Cârjă, Ovidu; Necula, Mihai; Vrabie, Ioan I.
2007
Nagumo viability theorem. revisited. Zbl 1099.34057
Vrabie, Ioan I.
2006
Differential equations on closed sets. Zbl 1095.34002
Cârjă, Ovidiu; Vrabie, Ioan I.
2005
A Nagumo type viability theorem. Zbl 1164.34468
Vrabie, Ioan I.
2005
Differential equations. An introduction to basic concepts, results and applications. Zbl 1070.34001
Vrabie, Ioan I.
2004
$$C_0$$-semigroups and applications. Zbl 1119.47044
Vrabie, Ioan I.
2003
Relatively compact orbits and compact attractors for a class of nonlinear evolution equations. Zbl 1055.34119
Thieme, Horst R.; Vrabie, Ioan I.
2003
Compactness of the solution operator for a linear evolution equation with distributed measures. Zbl 1051.47035
Vrabie, Ioan I.
2002
Viable domains for differential equations governed by Carathéodory perturbations of nonlinear $$m$$-accretive operators. Zbl 1049.34076
Cârjă, Ovidiu; Vrabie, Ioan I.
2002
An abstract approximate controllability result and applications to elliptic and parabolic systems with dynamic boundary conditions. Zbl 0983.93005
Bejenaru, Ioan; Diaz, Jesus Ildefonso; Vrabie, Ioan I.
2001
Viability for semilinear differential inclusions via the weak sequential tangency condition. Zbl 1011.34051
Cârjǎ, Ovidiu; Vrabie, Ioan I.
2001
Viability results for nonlinear perturbed differential inclusions. Zbl 0960.34047
Carja, Ovidiu; Vrabie, Ioan I.
1999
Anti-periodic solutions to strongly nonlinear evolution equations in Hilbert spaces. Zbl 1009.34053
Aizicovici, S.; Pavel, N. H.; Vrabie, I. I.
1998
Some new viability results for semilinear differential inclusions. Zbl 0876.34069
Cârjă, Ovidiu; Vrabie, Ioan I.
1997
Compactness methods for nonlinear evolutions. 2nd ed. Zbl 0842.47040
Vrabie, I. I.
1995
Compactness in $$L^ p$$ of the set of solutions to a nonlinear evolution equation. Zbl 0839.34077
Vrabie, Ioan I.
1995
Existence for reaction diffusion systems. A compactness method approach. Zbl 0815.35132
Díaz, J. I.; Vrabie, I. I.
1994
Existence of periodic solutions for a class of nonlinear evolution equations. Zbl 0815.34051
1994
Compactness of the Green operator of nonlinear diffusion equations: Application to Boussinesq type systems in fluid dynamics. Zbl 0841.35048
Díaz, J. I.; Vrabie, I. I.
1994
Periodic solutions for nonlinear evolution equations in a Banach space. Zbl 0701.34074
Vrabie, Ioan I.
1990
Differential inclusions governed by non convex perturbations of $$m$$- accretive operators. Zbl 0736.34014
Mitidieri, Enzo; Vrabie, Ioan I.
1989
Propriétés de compacité de l’opérateur de Green généralisé pour l’équation des milieux poreux. (Compactness properties of the generalized Green operator associated to the porous media equation). Zbl 0696.35067
Diaz, Jesus Ildefonso; Vrabie, Ioan I.
1989
A class of strongly nonlinear functional differential equations. Zbl 0667.34080
Mitidieri, Enzo; Vrabie, Ioan I.
1988
Nonlinear integrodifferential equations in a Banach space. Zbl 0722.45012
Mitidieri, Enzo; Vrabie, Ioan I.
1988
Compactness methods for nonlinear evolutions. Zbl 0721.47050
Vrabie, I. I.
1987
Existence for nonlinear functional differential equations. Zbl 0655.34055
Mitidieri, Enzo; Vrabie, Ioan I.
1987
Some compactness methods in the theory of nonlinear evolution equations with applications to P.D.E. Zbl 0648.34071
Vrabie, Ioan I.
1987
Compact perturbations of weakly equicontinuous semigroups. Zbl 0617.34064
Vrabie, I. I.
1986
A compactness criterion in C(0,T;X) for subsets of solutions of nonlinear evolution equations governed by accretive operators. Zbl 0612.34059
Vrabie, Ioan I.
1985
Upper semicontinuous perturbations of accretive operators. Zbl 0594.47047
Vrabie, Ioan I.
1985
Compact perturbations of accretive operators in Hilbert spaces. Zbl 0594.47046
Vrabie, Ioan I.
1985
An existence result for a class of nonlinear evolution equations in Banach spaces. Zbl 0493.34050
Vrabie, Ioan I.
1982
Compactness methods and flow-invariance for perturbed nonlinear semigroups. Zbl 0463.34054
Vrabie, Ioan I.
1981
Compactness methods for an abstract nonlinear Volterra integrodifferential equation. Zbl 0459.45011
Vrabie, Ioan I.
1981
Une méthode de compacite pour une classe d’équations d’évolution non linéaires. Zbl 0484.34042
Vrabie, Ioan I.
1981
Un théorème d’existence pour une classe d’équations d’évolution non linéaires. Zbl 0484.34043
Vrabie, Ioan I.
1981
Une méthode de compacite pour une classe d’inéquations d’évolution non linéaires. Zbl 0444.35047
Vrabie, Ioan I.
1980
The nonlinear version of Pazy’s local existence theorem. Zbl 0406.34064
Vrabie, Ioan I.
1979
Semi-linear evolution equations with multivalued right hand side in Banach spaces. Zbl 0421.34065
Pavel, Nicolae H.; Vrabie, Ioan I.
1979
Differential equations associated with continuous and dissipative time - dependent domain operators. Zbl 0426.34003
Pavel, Nicolae H.; Vrabie, Ioan I.
1979
Equations d’évolution multivoques dans des espaces de Banach. Zbl 0388.34036
Pavel, Nicolae H.; Vrabie, Ioan I.
1978
An existence result for a nonlinear boundary-value problem of hyperbolic type. Zbl 0364.35037
Barbu, Viorel; Vrabie, Ioan I.
1977
Le problème du temps optimal pour des équations différentielles multivoques. Zbl 0368.49014
Vrabie, Ioan I.
1977
all top 5

### Cited by 475 Authors

 27 Vrabie, Ioan I. 19 Cârjă, Ovidiu 17 Diaz Diaz, Jesus Ildefonso 13 Papageorgiou, Nikolaos S. 10 Benedetti, Irene 10 Lazu, Alina Ilinca 10 Simsen, Jacson 10 Zhang, Xuping 9 Chen, Pengyu 9 Donchev, Tzanko Donchev 8 Li, Yongxiang 8 Malaguti, Luisa 8 Necula, Mihai 8 Taddei, Valentina 7 Gentile, Cláudia Buttarello 7 Kryszewski, Wojciech 7 Wang, Rongnian 6 Andres, Jan 5 Cheng, Yi 5 Ke, Tran Dinh 5 Laurençot, Philippe 5 Li, Gang 5 Popescu, Marius Constantin 5 Yu, Yangyang 4 Bilal, Shamas 4 Cardinali, Tiziana 4 Ćwiszewski, Aleksander 4 Gil’, Michael Iosif 4 Giri, Ankik Kumar 4 Hernández, Eduardo M. 4 Hirano, Norimichi 4 Kartsatos, Athanassios G. 4 Monteiro Marques, Manuel D. P. 4 Obukhovskiĭ, Valeriĭ Vladimirovich 4 Postolache, Victor 4 Roşu, Daniela 4 Vasylyeva, Nataliya V. 4 Zhou, Yong 4 Zhu, Pengxian 3 Awawdeh, Fadi 3 Bader, Ralf 3 Barik, Prasanta Kumar 3 Bégout, Pascal 3 Benniche, Omar 3 Bîrsan, Mircea 3 Burlică, Monica-Dana 3 Castaing, Charles 3 Cichoń, Mieczysław 3 Couchouron, Jean-François 3 Dai, Feng 3 Galiano Casas, Gonzalo 3 Hantoute, Abderrahim 3 Javaid, Nasir 3 Kamenskiĭ, Mikhaĭl Igor’evich 3 Kloeden, Peter Eris 3 Ma, Qinghua 3 Ma, Zhong-Xin 3 Nguyen Van Loi 3 Pavel, Nicolae H. 3 Satco, Bianca-Renata 3 Siemianowski, Jakub 3 Staicu, Vasile 3 Surkov, Platon Gennad’evich 3 Tello, Lourdes 3 Tuan, Tran Van 3 Valero, José 3 Wittbold, Petra 3 Xiang, Huili 3 Xiang, Qiaomin 3 Xu, Liping 3 Zhu, Lanping 2 Adly, Samir 2 Aizicovici, Sergiu 2 Akagi, Goro 2 Azevedo, Katia A. G. 2 Azzam-Laouir, Dalila 2 Badii, Muricio 2 Bagland, Véronique 2 Borisovich, Yuriĭ Grigor’evich 2 Bothe, Dieter 2 Bruschi, Simone Mazzini 2 Căpraru, Irina 2 Casal, Alfonso C. 2 Chadli, Ouayl 2 Chen, Yuqing 2 Colao, Vittorio 2 Da Silva, Ricardo Parreira 2 Dong, Qixiang 2 dos Santos, Jair Silvério 2 Emamirad, Hassan Ali 2 Ezzinbi, Khalil 2 Fu, Xianlong 2 Garcia-Falset, Jesús 2 Gel’man, Boris Danielovich 2 Ghiba, Ionel-Dumitrel 2 Huang, Qianglian 2 Igbida, Noureddine 2 Infante, Gennaro 2 Ishige, Kazuhiro 2 Jiang, Yirong ...and 375 more Authors
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### Cited in 142 Serials

 42 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 40 Journal of Mathematical Analysis and Applications 20 Journal of Differential Equations 17 Nonlinear Analysis. Theory, Methods & Applications 8 Proceedings of the American Mathematical Society 8 Nonlinear Analysis. Real World Applications 7 Journal of Optimization Theory and Applications 7 Topological Methods in Nonlinear Analysis 7 Boundary Value Problems 7 Set-Valued and Variational Analysis 6 Applied Mathematics and Computation 6 Discrete and Continuous Dynamical Systems. Series B 6 Mediterranean Journal of Mathematics 5 Applicable Analysis 5 Discrete and Continuous Dynamical Systems 5 Journal of Dynamical and Control Systems 5 Advances in Difference Equations 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Evolution Equations and Control Theory 4 Journal of Computational and Applied Mathematics 4 Transactions of the American Mathematical Society 4 Zeitschrift für Analysis und ihre Anwendungen 4 Applied Mathematics Letters 4 Set-Valued Analysis 3 Israel Journal of Mathematics 3 Journal of the Franklin Institute 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Applied Mathematics and Optimization 3 Journal of Soviet Mathematics 3 Results in Mathematics 3 Acta Applicandae Mathematicae 3 Electronic Journal of Differential Equations (EJDE) 3 Abstract and Applied Analysis 3 Positivity 3 Journal of Evolution Equations 3 Central European Journal of Mathematics 3 Journal of Fixed Point Theory and Applications 2 International Journal of Engineering Science 2 International Journal of Systems Science 2 Chaos, Solitons and Fractals 2 Journal of Functional Analysis 2 Kodai Mathematical Journal 2 Mathematische Annalen 2 Numerical Functional Analysis and Optimization 2 Semigroup Forum 2 Systems & Control Letters 2 Optimization 2 Mathematical and Computer Modelling 2 Journal of Integral Equations and Applications 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Optimization 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Applied Mathematics. Series B (English Edition) 2 Advances in Differential Equations 2 European Journal of Control 2 Fractional Calculus & Applied Analysis 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Stochastics and Dynamics 2 Fixed Point Theory and Applications 2 Nonautonomous Dynamical Systems 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 International Journal of Mathematical Education in Science and Technology 1 Journal of Engineering Mathematics 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Periodica Mathematica Hungarica 1 Physica A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Reviews in Mathematical Physics 1 Archiv der Mathematik 1 Czechoslovak Mathematical Journal 1 International Journal for Numerical Methods in Engineering 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quarterly of Applied Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Journal of Symbolic Computation 1 Journal of Scientific Computing 1 Sugaku Expositions 1 Applications of Mathematics 1 Applied Mathematical Modelling 1 Journal of Elasticity 1 SIAM Journal on Mathematical Analysis 1 Journal of Dynamics and Differential Equations 1 Indagationes Mathematicae. New Series 1 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică 1 International Journal of Robust and Nonlinear Control 1 Vestnik St. Petersburg University. Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Russian Mathematics 1 Journal of Mathematical Sciences (New York) ...and 42 more Serials
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### Cited in 30 Fields

 188 Ordinary differential equations (34-XX) 179 Partial differential equations (35-XX) 162 Operator theory (47-XX) 49 Calculus of variations and optimal control; optimization (49-XX) 37 Systems theory; control (93-XX) 31 Integral equations (45-XX) 25 Biology and other natural sciences (92-XX) 22 Dynamical systems and ergodic theory (37-XX) 16 Probability theory and stochastic processes (60-XX) 14 Mechanics of deformable solids (74-XX) 10 Real functions (26-XX) 9 Fluid mechanics (76-XX) 8 Numerical analysis (65-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 General topology (54-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Functional analysis (46-XX) 4 Mechanics of particles and systems (70-XX) 3 Algebraic topology (55-XX) 3 Geophysics (86-XX) 2 Measure and integration (28-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX)