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Author ID: balser.werner Recent zbMATH articles by "Balser, Werner"
Published as: Balser, Werner; Balser, W.

Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 609 times in 308 Documents Cited by Year
Formal power series and linear systems of meromorphic ordinary differential equations. Zbl 0942.34004
Balser, Werner
132
2000
From divergent power series to analytic functions. Theory and application of multisummable power series. Zbl 0810.34046
Balser, Werner
79
1994
Birkhoff invariants and Stokes’ multipliers for meromorphic linear differential equations. Zbl 0415.34008
Balser, W.; Jurkat, W. B.; Lutz, D. A.
44
1979
Multisummability of formal power series solutions of linear ordinary differential equations. Zbl 0754.34057
Balser, W.; Braaksma, B. L. J.; Ramis, Jean-Pierre; Sibuya, Yasutaka
36
1991
Multisummability of formal power series solutions of partial differential equations with constant coefficients. Zbl 1052.35048
Balser, Werner
35
2004
A general theory of invariants for meromorphic differential equations. I: Formal invariants. Zbl 0434.34002
Balser, W.; Jurkat, W. B.; Lutz, D. A.
33
1979
Summability of formal solutions of certain partial differential equations. Zbl 0987.35032
Balser, Werner; Miyake, Masatake
31
1999
Divergent solutions of the heat equation: On an article of Lutz, Miyake and Schäfke. Zbl 0960.35045
Balser, Werner
27
1999
On the reduction of connection problems for differential equations with an irregular singular point to ones with only regular singularities. I. Zbl 0468.34024
Balser, W.; Jurkat, W. B.; Lutz, D. A.
26
1981
Gevrey order of formal power series solutions of inhomogeneous partial differential equations with constant coefficients. Zbl 1237.34149
Balser, Werner; Yoshino, Masafumi
22
2010
Multisummability of formal solutions of singular perturbation problems. Zbl 1015.34080
Balser, Werner; Mozo-Fernández, Jorge
18
2002
A general theory of invariants for meromorphic differential equations. II: Proper invariants. Zbl 0473.34028
Balser, W.; Jurkat, W. B.; Lutz, D. A.
16
1979
Summation of formal power series through iterated Laplace integrals. Zbl 0769.34004
Balser, Werner
10
1992
Transfer of connection problems for meromorphic differential equations of rank \(r\geq 2\) and representations of solutions. Zbl 0483.34009
Balser, W.; Jurkat, W. B.; Lutz, D. A.
8
1982
Summability of formal power-series solutions of partial differential equations with constant coefficients. Zbl 1128.35030
Balser, Werner
7
2003
On the reduction of connection problems for differential equations with an irregular singular point to ones with only regular singularities. II. Zbl 0639.34034
Balser, W.; Jurkat, W. B.; Lutz, D. A.
7
1988
Singular perturbation of linear systems with a regular singularity. Zbl 1020.34085
Balser, W.; Kostov, V.
7
2002
A different characterization of multi-summable power series. Zbl 0759.40005
Balser, Werner
7
1992
Invariants for reducible systems of meromorphic differential equations. Zbl 0446.34007
Balser, W.; Jurkat, W. B.; Lutz, D. A.
6
1980
Summability of power series in several variables, with applications to singular perturbation problems and partial differential equations. Zbl 1105.35024
Balser, Werner
5
2005
Multisummability of iterated integrals. Zbl 0787.30026
Balser, W.; Tovbis, A.
4
1993
Power series methods and multisummability. Zbl 1078.34534
Balser, Werner; Braun, Rüdiger W.
4
2000
Transfer of connection problems for first level solutions of meromorphic differential equations, and associated Laplace transforms. Zbl 0509.34008
Balser, W.; Jurkat, W. B.; Lutz, D. A.
4
1983
Explicit evaluation of the Stokes’ multipliers and central connection coefficients for certain systems of linear differential equations. Zbl 0668.34013
Balser, W.
3
1988
Formally well-posed Cauchy problems for linear partial differential equations with constant coefficients. Zbl 1076.35030
Balser, Werner; Kostov, Vladimir
3
2005
Summmability of formal power series solutions of ordinary and partial differential equations. Zbl 1050.34126
Balser, W.
3
2001
Computation of formal fundamental solutions. Zbl 0934.65066
Balser, Werner
3
1999
Meromorphic transformation to Birkhoff standard form in dimension three. Zbl 0703.34008
Balser, Werner
3
1989
Growth estimates for the coefficients of generalized formal solutions, and representation of solutions using Laplace integrals and factorial series. Zbl 0483.34008
Balser, Werner
3
1982
A general theory of invariants for meromorphic differential equations. III. Applications. Zbl 0506.34006
Balser, W.; Jurkat, W. B.; Lutz, D. A.
3
1980
Addendum to my paper: A different characterization of multi-summable power series. Zbl 0778.40002
Balser, Werner
2
1993
Solutions of first level of meromorphic differential equations. Zbl 0466.34003
Balser, W.
2
1982
On the convergence of Borel approximants. Zbl 1029.34074
Balser, W.; Lutz, D. A.; Schäfke, R.
2
2002
A constructive existence proof for first level formal solutions of meromorphic differential equations. Zbl 0584.34002
Balser, W.
2
1985
Multisummability of complete formal solutions for nonlinear systems of meromorphic ordinary differential equations. Zbl 0909.34002
Balser, Werner
2
1997
Formal power series solutions of the heat equation in one spatial variable. Zbl 1356.35118
Balser, Werner
2
2007
Zum Einzigkeitssatz in der Invariantentheorie meromorpher Differentialgleichungen. Zbl 0425.34010
Balser, Werner
1
1980
Über Abschnittslimitierbarkeit. Zbl 0316.40006
Balser, Werner
1
1976
Convergent power series expansions for the Birkhoff invariants of meromorpic differential equations. Zbl 0603.34005
Balser, Werner
1
1985
Birkhoff’s reduction problem. Zbl 1077.34001
Balser, Werner
1
2004
Recent progress in the theory of formal solutions for ODE and PDE. Zbl 1054.34142
Balser, Werner; Kostov, Vladimir
1
2003
Convergent power series expansions for the Birkhoff invariants of meromorphic differential equations. I: Definition of the coefficient functions. Zbl 0558.34004
Balser, W.
1
1984
Analytic transformation to Birkhoff standard form in dimension three. Zbl 0706.34004
Balser, Werner
1
1990
Characterization of first level formal solutions by means of the growth of their coefficients. Zbl 0524.34006
Balser, W.; Jurkat, W. B.; Lutz, D. A.
1
1984
Gevrey order of formal power series solutions of inhomogeneous partial differential equations with constant coefficients. Zbl 1237.34149
Balser, Werner; Yoshino, Masafumi
22
2010
Formal power series solutions of the heat equation in one spatial variable. Zbl 1356.35118
Balser, Werner
2
2007
Summability of power series in several variables, with applications to singular perturbation problems and partial differential equations. Zbl 1105.35024
Balser, Werner
5
2005
Formally well-posed Cauchy problems for linear partial differential equations with constant coefficients. Zbl 1076.35030
Balser, Werner; Kostov, Vladimir
3
2005
Multisummability of formal power series solutions of partial differential equations with constant coefficients. Zbl 1052.35048
Balser, Werner
35
2004
Birkhoff’s reduction problem. Zbl 1077.34001
Balser, Werner
1
2004
Summability of formal power-series solutions of partial differential equations with constant coefficients. Zbl 1128.35030
Balser, Werner
7
2003
Recent progress in the theory of formal solutions for ODE and PDE. Zbl 1054.34142
Balser, Werner; Kostov, Vladimir
1
2003
Multisummability of formal solutions of singular perturbation problems. Zbl 1015.34080
Balser, Werner; Mozo-Fernández, Jorge
18
2002
Singular perturbation of linear systems with a regular singularity. Zbl 1020.34085
Balser, W.; Kostov, V.
7
2002
On the convergence of Borel approximants. Zbl 1029.34074
Balser, W.; Lutz, D. A.; Schäfke, R.
2
2002
Summmability of formal power series solutions of ordinary and partial differential equations. Zbl 1050.34126
Balser, W.
3
2001
Formal power series and linear systems of meromorphic ordinary differential equations. Zbl 0942.34004
Balser, Werner
132
2000
Power series methods and multisummability. Zbl 1078.34534
Balser, Werner; Braun, Rüdiger W.
4
2000
Summability of formal solutions of certain partial differential equations. Zbl 0987.35032
Balser, Werner; Miyake, Masatake
31
1999
Divergent solutions of the heat equation: On an article of Lutz, Miyake and Schäfke. Zbl 0960.35045
Balser, Werner
27
1999
Computation of formal fundamental solutions. Zbl 0934.65066
Balser, Werner
3
1999
Multisummability of complete formal solutions for nonlinear systems of meromorphic ordinary differential equations. Zbl 0909.34002
Balser, Werner
2
1997
From divergent power series to analytic functions. Theory and application of multisummable power series. Zbl 0810.34046
Balser, Werner
79
1994
Multisummability of iterated integrals. Zbl 0787.30026
Balser, W.; Tovbis, A.
4
1993
Addendum to my paper: A different characterization of multi-summable power series. Zbl 0778.40002
Balser, Werner
2
1993
Summation of formal power series through iterated Laplace integrals. Zbl 0769.34004
Balser, Werner
10
1992
A different characterization of multi-summable power series. Zbl 0759.40005
Balser, Werner
7
1992
Multisummability of formal power series solutions of linear ordinary differential equations. Zbl 0754.34057
Balser, W.; Braaksma, B. L. J.; Ramis, Jean-Pierre; Sibuya, Yasutaka
36
1991
Analytic transformation to Birkhoff standard form in dimension three. Zbl 0706.34004
Balser, Werner
1
1990
Meromorphic transformation to Birkhoff standard form in dimension three. Zbl 0703.34008
Balser, Werner
3
1989
On the reduction of connection problems for differential equations with an irregular singular point to ones with only regular singularities. II. Zbl 0639.34034
Balser, W.; Jurkat, W. B.; Lutz, D. A.
7
1988
Explicit evaluation of the Stokes’ multipliers and central connection coefficients for certain systems of linear differential equations. Zbl 0668.34013
Balser, W.
3
1988
A constructive existence proof for first level formal solutions of meromorphic differential equations. Zbl 0584.34002
Balser, W.
2
1985
Convergent power series expansions for the Birkhoff invariants of meromorpic differential equations. Zbl 0603.34005
Balser, Werner
1
1985
Convergent power series expansions for the Birkhoff invariants of meromorphic differential equations. I: Definition of the coefficient functions. Zbl 0558.34004
Balser, W.
1
1984
Characterization of first level formal solutions by means of the growth of their coefficients. Zbl 0524.34006
Balser, W.; Jurkat, W. B.; Lutz, D. A.
1
1984
Transfer of connection problems for first level solutions of meromorphic differential equations, and associated Laplace transforms. Zbl 0509.34008
Balser, W.; Jurkat, W. B.; Lutz, D. A.
4
1983
Transfer of connection problems for meromorphic differential equations of rank \(r\geq 2\) and representations of solutions. Zbl 0483.34009
Balser, W.; Jurkat, W. B.; Lutz, D. A.
8
1982
Growth estimates for the coefficients of generalized formal solutions, and representation of solutions using Laplace integrals and factorial series. Zbl 0483.34008
Balser, Werner
3
1982
Solutions of first level of meromorphic differential equations. Zbl 0466.34003
Balser, W.
2
1982
On the reduction of connection problems for differential equations with an irregular singular point to ones with only regular singularities. I. Zbl 0468.34024
Balser, W.; Jurkat, W. B.; Lutz, D. A.
26
1981
Invariants for reducible systems of meromorphic differential equations. Zbl 0446.34007
Balser, W.; Jurkat, W. B.; Lutz, D. A.
6
1980
A general theory of invariants for meromorphic differential equations. III. Applications. Zbl 0506.34006
Balser, W.; Jurkat, W. B.; Lutz, D. A.
3
1980
Zum Einzigkeitssatz in der Invariantentheorie meromorpher Differentialgleichungen. Zbl 0425.34010
Balser, Werner
1
1980
Birkhoff invariants and Stokes’ multipliers for meromorphic linear differential equations. Zbl 0415.34008
Balser, W.; Jurkat, W. B.; Lutz, D. A.
44
1979
A general theory of invariants for meromorphic differential equations. I: Formal invariants. Zbl 0434.34002
Balser, W.; Jurkat, W. B.; Lutz, D. A.
33
1979
A general theory of invariants for meromorphic differential equations. II: Proper invariants. Zbl 0473.34028
Balser, W.; Jurkat, W. B.; Lutz, D. A.
16
1979
Über Abschnittslimitierbarkeit. Zbl 0316.40006
Balser, Werner
1
1976
all top 5

Cited by 238 Authors

32 Malek, Stéphane
24 Lastra, Alberto
17 Balser, Werner
14 Michalik, Sławomir
14 Sanz, Javier
13 Remy, Pascal
9 Costin, Ovidiu
7 Barkatou, Moulay A.
7 Schäfke, Reinhard
7 Zhang, Changgui
6 Guzzetti, Davide
6 Jiménez-Garrido, Javier
6 Mozo-Fernández, Jorge
5 Boalch, Philip P.
5 Braaksma, Boele L. J.
5 Carrillo, Sergio A.
5 De Maesschalck, Peter
5 Ichinobe, Kunio
5 Tanveer, Saleh
4 Gontsov, Renat R.
4 Klimeš, Martin
4 Loday-Richaud, Michèle
4 Luo, Zhuangchu
4 Ramis, Jean-Pierre
4 Sabbah, Claude
4 Schindl, Gerhard
4 Suwińska, Maria
4 Ünver, Mehmet
3 Bolibrukh, Andreĭ Andreevich
3 Bridgeland, Tom
3 Chen, Hua
3 Costin, Rodica D.
3 Cotti, Giordano
3 Hibino, Masaki
3 Kenens, Karel
3 Lutz, Donald A.
3 Meurer, Thomas
3 Shramchenko, Vasilisa
3 Volodin, Andrei I.
3 Vyugin, Ilya V.
3 Yoshino, Masafumi
3 Zhang, Youwei
2 Chen, Guoting
2 Coatanhay, Arnaud
2 Conoir, Jean-Marc
2 de la Llave, Rafael
2 Dreyfus, Thomas
2 Faber, Bernard Frans
2 Gal, Ciprian Gheorghe Sorin
2 Gal, Sorin Gheorghe
2 Goldstein, Jerome Arthur
2 Goryuchkina, Irina V.
2 Guest, Martin A.
2 Hien, Marco
2 Hiroe, Kazuki
2 Huang, Min
2 Iritani, Hiroshi
2 Its, Alexander Rudolfovich
2 Jurkat, Wolfgang B.
2 Korotkin, Dmitrii A.
2 Kossovskiy, Il’ya Grigor’evich
2 Kovalevskij, M. A.
2 Lamel, Bernhard
2 Łysik, Grzegorz
2 Maddah, Suzy S.
2 Martinet, Jean
2 Olivé, Carme
2 Ordóñez Cabrera, Manuel H.
2 Ōuchi, Sunao
2 Popović, Nikola
2 Rasoamanana, Jean-Marc
2 Rosalsky, Andrew
2 M-Seara, Tere
2 Sibuya, Yasutaka
2 Singer, Michael F.
2 Soylemez, Dilek
2 Stolovitch, Laurent
2 Takei, Yoshitsugu
2 Tanabé, Susumu
2 Tovbis, A. I.
2 Tovbis, Alexander
2 Xu, Xiaomeng
1 Allegretti, Dylan Gregory Lucasi
1 Artamonov, Dmitry V.
1 Aycock, Alexander
1 Baldomá, Inmaculada
1 Barbieri, Anna
1 Barroso, J. M.
1 Beck, Andreas
1 Besalú, Emili
1 Blázquez-Sanz, David
1 Bothner, Thomas
1 Boyd, John Philip
1 Bühring, Wolfgang
1 Calleja, Renato C.
1 Canalis-Durand, Mireille
1 Caprini, Irinel
1 Carletti, Timoteo
1 Castro-Jiménez, Francisco Jesús
1 Celletti, Alessandra
...and 138 more Authors
all top 5

Cited in 121 Serials

29 Journal of Differential Equations
25 Journal of Dynamical and Control Systems
19 Annales de l’Institut Fourier
18 Journal of Mathematical Analysis and Applications
11 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
6 Advances in Mathematics
6 Results in Mathematics
6 Linear Algebra and its Applications
5 Duke Mathematical Journal
5 Journal of Symbolic Computation
5 Abstract and Applied Analysis
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Journal of Difference Equations and Applications
4 Advances in Difference Equations
3 Letters in Mathematical Physics
3 Journal of Geometry and Physics
3 Journal of Computational and Applied Mathematics
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Communications in Mathematical Physics
2 Journal of Mathematical Physics
2 Mathematical Notes
2 Nonlinearity
2 Archiv der Mathematik
2 Automatica
2 Funkcialaj Ekvacioj. Serio Internacia
2 Publications Mathématiques
2 Journal für die Reine und Angewandte Mathematik
2 Journal of Soviet Mathematics
2 Manuscripta Mathematica
2 Mathematische Annalen
2 Mathematische Nachrichten
2 Mathematische Zeitschrift
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Proceedings of the Japan Academy. Series A
2 Transactions of the American Mathematical Society
2 Asymptotic Analysis
2 The Journal of Geometric Analysis
2 Communications in Partial Differential Equations
2 SIAM Journal on Mathematical Analysis
2 Expositiones Mathematicae
2 Applicable Algebra in Engineering, Communication and Computing
2 Journal of Nonlinear Science
2 Journal of Mathematical Sciences (New York)
2 Electronic Journal of Differential Equations (EJDE)
2 Mathematical Physics, Analysis and Geometry
2 Lobachevskii Journal of Mathematics
2 Analysis and Applications (Singapore)
2 Proceedings of the Steklov Institute of Mathematics
2 Random Matrices: Theory and Applications
2 Arnold Mathematical Journal
1 Applicable Analysis
1 International Journal of Mathematical Education in Science and Technology
1 Journal of Computational Physics
1 Journal of Engineering Mathematics
1 Journal of Mathematical Biology
1 Journal of Statistical Physics
1 Mathematische Semesterberichte
1 Russian Mathematical Surveys
1 Ukrainian Mathematical Journal
1 Wave Motion
1 Theory of Probability and its Applications
1 Acta Scientiarum Mathematicarum
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Applied Mathematics and Computation
1 Bulletin de la Société Mathématique de France
1 Canadian Mathematical Bulletin
1 Functional Analysis and its Applications
1 Inventiones Mathematicae
1 Journal of Approximation Theory
1 Journal of the Mathematical Society of Japan
1 Mathematics and Computers in Simulation
1 Mathematica Slovaca
1 Nagoya Mathematical Journal
1 Rendiconti del Seminario Matematico della Università di Padova
1 Siberian Mathematical Journal
1 Tôhoku Mathematical Journal. Second Series
1 Zeitschrift für Analysis und ihre Anwendungen
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Applied Numerical Mathematics
1 Constructive Approximation
1 Numerical Methods for Partial Differential Equations
1 Publicacions Matemàtiques
1 International Journal of Mathematics
1 Numerical Algorithms
1 Annals of Physics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Bulletin of the American Mathematical Society. New Series
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 Indagationes Mathematicae. New Series
1 Journal of Algebraic Combinatorics
1 Test
1 St. Petersburg Mathematical Journal
1 Turkish Journal of Mathematics
1 Bulletin des Sciences Mathématiques
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Sbornik: Mathematics
1 Discrete and Continuous Dynamical Systems
1 Journal of Mathematical Chemistry
...and 21 more Serials
all top 5

Cited in 44 Fields

136 Ordinary differential equations (34-XX)
103 Partial differential equations (35-XX)
37 Sequences, series, summability (40-XX)
30 Functions of a complex variable (30-XX)
26 Several complex variables and analytic spaces (32-XX)
25 Algebraic geometry (14-XX)
23 Dynamical systems and ergodic theory (37-XX)
16 Differential geometry (53-XX)
12 Difference and functional equations (39-XX)
10 Special functions (33-XX)
9 Integral transforms, operational calculus (44-XX)
8 Operator theory (47-XX)
8 Computer science (68-XX)
8 Fluid mechanics (76-XX)
7 Field theory and polynomials (12-XX)
6 Numerical analysis (65-XX)
5 Number theory (11-XX)
5 Approximations and expansions (41-XX)
5 Integral equations (45-XX)
5 Functional analysis (46-XX)
4 Commutative algebra (13-XX)
4 Real functions (26-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Probability theory and stochastic processes (60-XX)
4 Quantum theory (81-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Manifolds and cell complexes (57-XX)
3 Mechanics of particles and systems (70-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Systems theory; control (93-XX)
2 Associative rings and algebras (16-XX)
2 Category theory; homological algebra (18-XX)
2 Group theory and generalizations (20-XX)
2 Topological groups, Lie groups (22-XX)
2 Measure and integration (28-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 Nonassociative rings and algebras (17-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year