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## Kučera, Milan

Compute Distance To:
 Author ID: kucera.milan Published as: Kucera, M.; Kucera, Milan; Kučera, M.; Kučera, Milan External Links: ORCID
 Documents Indexed: 64 Publications since 1970, including 1 Book Reviewing Activity: 204 Reviews
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#### Co-Authors

 20 single-authored 24 Eisner, Jan 15 Recke, Lutz 6 Drábek, Pavel 6 Väth, Martin 4 Nečas, Jindřich 3 Fučik, Svatopluk 3 Soucek, Jiri 2 Baltaev, Jamol I. 2 Boccardo, Lucio 2 Soucek, Vladimir 1 Bosák, Miroslav 1 Doktor, Pavel 1 Fencl, Martin 1 Giachetti, Daniela 1 Kárná, Lucie 1 Míková, Marta 1 Navrátil, Josef 1 Neustupa, Jiří
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#### Serials

 11 Czechoslovak Mathematical Journal 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Journal of Mathematical Analysis and Applications 5 Commentationes Mathematicae Universitatis Carolinae 4 Časopis Pro Pěstování Matematiky 4 Nonlinear Analysis. Theory, Methods & Applications 3 Applications of Mathematics 2 Journal of Differential Equations 2 Differential and Integral Equations 2 Mathematica Bohemica 1 Bulletin of the Australian Mathematical Society 1 Mathematische Nachrichten 1 Zeitschrift für Analysis und ihre Anwendungen
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#### Fields

 41 Partial differential equations (35-XX) 28 Operator theory (47-XX) 16 Ordinary differential equations (34-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 7 Global analysis, analysis on manifolds (58-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Mechanics of deformable solids (74-XX) 3 Biology and other natural sciences (92-XX) 2 Real functions (26-XX) 2 Algebraic topology (55-XX) 1 General and overarching topics; collections (00-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

49 Publications have been cited 336 times in 144 Documents Cited by Year
Generalization of Fredholm alternative for nonlinear differential operators. Zbl 0623.34031
Boccardo, Lucio; Drábek, Pavel; Giachetti, Daniela; Kučera, Milan
1986
Bifurcation points of variational inequalities. Zbl 0621.49006
Kučera, Milan
1982
Ranges of nonlinear asymptotically linear operators. Zbl 0299.47035
Fucik, Svatopluk; Kucera, Milan; Necas, Jindrich
1975
A new method for obtaining eigenvalues of variational inequalities: operators with multiple eigenvalue. Zbl 0621.49005
Kučera, Milan
1982
Bifurcation points of reaction-diffusion systems with unilateral conditions. Zbl 0604.35042
Drábek, Pavel; Kučera, Milan; Míková, Marta
1985
Degree and global bifurcation for elliptic equations with multivalued unilateral conditions. Zbl 1111.47055
Eisner, Jan; Kučera, Milan; Väth, Martin
2006
Global bifurcation for a reaction-diffusion system with inclusions. Zbl 1182.35025
Eisner, Jan; Kučera, Milan; Väth, Martin
2009
Smooth continuation of solutions and eigenvalues for variational inequalities based on the implicit function theorem. Zbl 1040.49006
Eisner, Jan; Kučera, Milan; Recke, Lutz
2002
Bifurcation of solutions to reaction-diffusion systems with unilateral conditions. Zbl 0857.35015
Kučera, Milan
1995
Reaction-diffusion systems: Destabilizing effect of unilateral conditions. Zbl 0671.35043
Drábek, Pavel; Kučera, Milan
1988
Spatial patterning in reaction-diffusion systems with nonstandard boundary conditions. Zbl 0969.35019
Eisner, Jan; Kučera, Milan
2000
Reaction-diffusion systems: stabilizing effect of conditions described by quasivariational inequalities. Zbl 0898.35010
Kučera, M.
1997
Landesman-Lazer conditions for strongly nonlinear boundary value problems. Zbl 0706.35051
Boccardo, Lucio; Drábek, Pavel; Kučera, Milan
1989
A global continuation theorem for obtaining eigenvalues and bifurcation points. Zbl 0665.35010
Kučera, Milan
1988
Bifurcation for a reaction-diffusion system with unilateral and Neumann boundary conditions. Zbl 1237.35013
Kučera, Milan; Väth, Martin
2012
Spatial patterns for reaction-diffusion systems with conditions described by inclusions. Zbl 0940.35030
Eisner, Jan; Kučera, Milan
1997
Smooth bifurcation for variational inequalities based on the implicit function theorem. Zbl 1018.34042
Recke, Lutz; Eisner, Jan; Kučera, Milan
2002
Bifurcation points for a reaction-diffusion system with two inequalities. Zbl 1185.35074
Eisner, Jan; Kučera, Milan; Väth, Martin
2010
Reaction-diffusion systems: Bifurcation and stabilizing effect of conditions given by inclusions. Zbl 0857.35060
Kučera, Milan
1996
Eigenvalues of inequalities of reaction-diffusion type and destabilizing effect of unilateral conditions. Zbl 0608.35032
Drábek, Pavel; Kučera, Milan
1986
Destabilizing effect of unilaternal conditions in reaction-diffusion systems. Zbl 0597.35006
Kučera, Milan; Neustupa, Jiří
1986
Direction and stability of bifurcation branches for variational inequalities. Zbl 1058.49005
Eisner, Jan; Kučera, Milan; Recke, Lutz
2005
The eigenvalue problem for variational inequalities and a new version of the Ljusternik-Schnirelmann theory. Zbl 0463.47041
Kučera, Milan; Nečas, Jindřich; Souček, Jiří
1978
Global bifurcation for quasivariational inequalities of reaction-diffusion type. Zbl 1145.49004
Baltaev, J. I.; Kučera, M.
2008
Bifurcation of solutions to reaction-diffusion systems with conditions described by inequalities and inclusions. Zbl 0894.35060
Kučera, Milan
1997
A bifurcation of periodic solutions to ordinary differential inequalities. Zbl 0809.34021
Kučera, M.
1991
Perturbations of variational inequalities and rate of convergence of solutions. Zbl 0453.49010
Doktor, Pavel; Kucera, Milan
1980
Eigenvalues and bifurcation for problems with positively homogeneous operators and reaction-diffusion systems with unilateral terms. Zbl 1380.35020
Kučera, Milan; Navrátil, Josef
2018
A variational approach to bifurcation points of a reaction-diffusion system with obstacles and Neumann boundary conditions. Zbl 1389.35047
Eisner, Jan; Kučera, Milan; Väth, Martin
2016
A variational approach to bifurcation in reaction-diffusion systems with Signorini type boundary conditions. Zbl 1249.35020
Baltaev, Jamol I.; Kučera, Milan; Väth, Martin
2012
Smooth bifurcation branches of solutions for a Signorini problem. Zbl 1213.35233
Eisner, Jan; Kučera, Milan; Recke, Lutz
2011
Smooth dependence on parameters of solutions and contact regions for an obstacle problem. Zbl 1042.49007
Recke, Lutz; Eisner, Jan; Kučera, Milan
2003
Bifurcation of solutions to reaction-diffusion systems with jumping nonlinearities. Zbl 1058.35526
Eisner, Jan; Kučera, Milan
1999
Hopf bifurcation and ordinary differential inequalities. Zbl 0848.34020
Eisner, Jan; Kučera, Milan
1995
Bifurcation of periodic solutions to differential inequalities in $$\mathbb{R}^ 3$$. Zbl 0794.34031
Bosák, Miroslav; Kučera, Milan
1992
Bifurcation direction and exchange of stability for variational inequalities on nonconvex sets. Zbl 1117.35006
Eisner, Jan; Kučera, Milan; Recke, Lutz
2007
Bifurcation of periodic solutions to variational inequalities in $$\mathbb R^{\kappa }$$ based on Alexander-Yorke theorem. Zbl 1006.49005
Kučera, Milan
1999
Stability of bifurcating periodic solutions of differential inequalities in $$\mathbb{R}^3$$. Zbl 0922.34034
Kučera, Milan
1999
Hausdorff measures of the set of critical values of functions of the class $$C^{k,\lambda}$$. Zbl 0239.26012
Kucera, Milan
1972
Fredholm alternative for nonlinear operators. Zbl 0198.18602
Kucera, M.
1970
Unilateral sources and sinks of an activator in reaction-diffusion systems exhibiting diffusion-driven instability. Zbl 1420.35126
Fencl, Martin; Kučera, Milan
2019
Smooth dependence on data of solutions and contact regions for a Signorini problem. Zbl 1183.35150
Eisner, Jan; Kučera, Milan; Recke, Lutz
2010
Smooth bifurcation for variational inequalities based on Lagrange multipliers. Zbl 1212.35174
Eisner, Jan; Kučera, Milan; Recke, Lutz
2006
Smooth bifurcation for an obstacle problem. Zbl 1201.74125
Eisner, Jan; Kučera, Milan
2005
Smooth bifurcation and variation of the contact sets for an obstacle problem. Zbl 1099.47050
Eisner, J.; Kučera, M.; Recke, L.
2005
Bifurcations of second order problems with jumping nonlinearities. Zbl 0631.34054
Drábek, Pavel; Kučera, Milan
1988
A new method for obtaining eigenvalues of variational inequalities Branches of eigenvalues of the equation with the penalty in a special case. Zbl 0411.58009
Kucera, Milan
1979
A new method for obtaining eigenvalues of variational inequalities based on bifurcation theory. Zbl 0406.58016
Kucera, Milan
1979
Morse-Sard theorem in infinite dimensional Banach spaces and investigation of the set of all critical levels. Zbl 0291.58008
Fučik, Svatopluk; Kučera, Milan; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír
1974
Unilateral sources and sinks of an activator in reaction-diffusion systems exhibiting diffusion-driven instability. Zbl 1420.35126
Fencl, Martin; Kučera, Milan
2019
Eigenvalues and bifurcation for problems with positively homogeneous operators and reaction-diffusion systems with unilateral terms. Zbl 1380.35020
Kučera, Milan; Navrátil, Josef
2018
A variational approach to bifurcation points of a reaction-diffusion system with obstacles and Neumann boundary conditions. Zbl 1389.35047
Eisner, Jan; Kučera, Milan; Väth, Martin
2016
Bifurcation for a reaction-diffusion system with unilateral and Neumann boundary conditions. Zbl 1237.35013
Kučera, Milan; Väth, Martin
2012
A variational approach to bifurcation in reaction-diffusion systems with Signorini type boundary conditions. Zbl 1249.35020
Baltaev, Jamol I.; Kučera, Milan; Väth, Martin
2012
Smooth bifurcation branches of solutions for a Signorini problem. Zbl 1213.35233
Eisner, Jan; Kučera, Milan; Recke, Lutz
2011
Bifurcation points for a reaction-diffusion system with two inequalities. Zbl 1185.35074
Eisner, Jan; Kučera, Milan; Väth, Martin
2010
Smooth dependence on data of solutions and contact regions for a Signorini problem. Zbl 1183.35150
Eisner, Jan; Kučera, Milan; Recke, Lutz
2010
Global bifurcation for a reaction-diffusion system with inclusions. Zbl 1182.35025
Eisner, Jan; Kučera, Milan; Väth, Martin
2009
Global bifurcation for quasivariational inequalities of reaction-diffusion type. Zbl 1145.49004
Baltaev, J. I.; Kučera, M.
2008
Bifurcation direction and exchange of stability for variational inequalities on nonconvex sets. Zbl 1117.35006
Eisner, Jan; Kučera, Milan; Recke, Lutz
2007
Degree and global bifurcation for elliptic equations with multivalued unilateral conditions. Zbl 1111.47055
Eisner, Jan; Kučera, Milan; Väth, Martin
2006
Smooth bifurcation for variational inequalities based on Lagrange multipliers. Zbl 1212.35174
Eisner, Jan; Kučera, Milan; Recke, Lutz
2006
Direction and stability of bifurcation branches for variational inequalities. Zbl 1058.49005
Eisner, Jan; Kučera, Milan; Recke, Lutz
2005
Smooth bifurcation for an obstacle problem. Zbl 1201.74125
Eisner, Jan; Kučera, Milan
2005
Smooth bifurcation and variation of the contact sets for an obstacle problem. Zbl 1099.47050
Eisner, J.; Kučera, M.; Recke, L.
2005
Smooth dependence on parameters of solutions and contact regions for an obstacle problem. Zbl 1042.49007
Recke, Lutz; Eisner, Jan; Kučera, Milan
2003
Smooth continuation of solutions and eigenvalues for variational inequalities based on the implicit function theorem. Zbl 1040.49006
Eisner, Jan; Kučera, Milan; Recke, Lutz
2002
Smooth bifurcation for variational inequalities based on the implicit function theorem. Zbl 1018.34042
Recke, Lutz; Eisner, Jan; Kučera, Milan
2002
Spatial patterning in reaction-diffusion systems with nonstandard boundary conditions. Zbl 0969.35019
Eisner, Jan; Kučera, Milan
2000
Bifurcation of solutions to reaction-diffusion systems with jumping nonlinearities. Zbl 1058.35526
Eisner, Jan; Kučera, Milan
1999
Bifurcation of periodic solutions to variational inequalities in $$\mathbb R^{\kappa }$$ based on Alexander-Yorke theorem. Zbl 1006.49005
Kučera, Milan
1999
Stability of bifurcating periodic solutions of differential inequalities in $$\mathbb{R}^3$$. Zbl 0922.34034
Kučera, Milan
1999
Reaction-diffusion systems: stabilizing effect of conditions described by quasivariational inequalities. Zbl 0898.35010
Kučera, M.
1997
Spatial patterns for reaction-diffusion systems with conditions described by inclusions. Zbl 0940.35030
Eisner, Jan; Kučera, Milan
1997
Bifurcation of solutions to reaction-diffusion systems with conditions described by inequalities and inclusions. Zbl 0894.35060
Kučera, Milan
1997
Reaction-diffusion systems: Bifurcation and stabilizing effect of conditions given by inclusions. Zbl 0857.35060
Kučera, Milan
1996
Bifurcation of solutions to reaction-diffusion systems with unilateral conditions. Zbl 0857.35015
Kučera, Milan
1995
Hopf bifurcation and ordinary differential inequalities. Zbl 0848.34020
Eisner, Jan; Kučera, Milan
1995
Bifurcation of periodic solutions to differential inequalities in $$\mathbb{R}^ 3$$. Zbl 0794.34031
Bosák, Miroslav; Kučera, Milan
1992
A bifurcation of periodic solutions to ordinary differential inequalities. Zbl 0809.34021
Kučera, M.
1991
Landesman-Lazer conditions for strongly nonlinear boundary value problems. Zbl 0706.35051
Boccardo, Lucio; Drábek, Pavel; Kučera, Milan
1989
Reaction-diffusion systems: Destabilizing effect of unilateral conditions. Zbl 0671.35043
Drábek, Pavel; Kučera, Milan
1988
A global continuation theorem for obtaining eigenvalues and bifurcation points. Zbl 0665.35010
Kučera, Milan
1988
Bifurcations of second order problems with jumping nonlinearities. Zbl 0631.34054
Drábek, Pavel; Kučera, Milan
1988
Generalization of Fredholm alternative for nonlinear differential operators. Zbl 0623.34031
Boccardo, Lucio; Drábek, Pavel; Giachetti, Daniela; Kučera, Milan
1986
Eigenvalues of inequalities of reaction-diffusion type and destabilizing effect of unilateral conditions. Zbl 0608.35032
Drábek, Pavel; Kučera, Milan
1986
Destabilizing effect of unilaternal conditions in reaction-diffusion systems. Zbl 0597.35006
Kučera, Milan; Neustupa, Jiří
1986
Bifurcation points of reaction-diffusion systems with unilateral conditions. Zbl 0604.35042
Drábek, Pavel; Kučera, Milan; Míková, Marta
1985
Bifurcation points of variational inequalities. Zbl 0621.49006
Kučera, Milan
1982
A new method for obtaining eigenvalues of variational inequalities: operators with multiple eigenvalue. Zbl 0621.49005
Kučera, Milan
1982
Perturbations of variational inequalities and rate of convergence of solutions. Zbl 0453.49010
Doktor, Pavel; Kucera, Milan
1980
A new method for obtaining eigenvalues of variational inequalities Branches of eigenvalues of the equation with the penalty in a special case. Zbl 0411.58009
Kucera, Milan
1979
A new method for obtaining eigenvalues of variational inequalities based on bifurcation theory. Zbl 0406.58016
Kucera, Milan
1979
The eigenvalue problem for variational inequalities and a new version of the Ljusternik-Schnirelmann theory. Zbl 0463.47041
Kučera, Milan; Nečas, Jindřich; Souček, Jiří
1978
Ranges of nonlinear asymptotically linear operators. Zbl 0299.47035
Fucik, Svatopluk; Kucera, Milan; Necas, Jindrich
1975
Morse-Sard theorem in infinite dimensional Banach spaces and investigation of the set of all critical levels. Zbl 0291.58008
Fučik, Svatopluk; Kučera, Milan; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír
1974
Hausdorff measures of the set of critical values of functions of the class $$C^{k,\lambda}$$. Zbl 0239.26012
Kucera, Milan
1972
Fredholm alternative for nonlinear operators. Zbl 0198.18602
Kucera, M.
1970
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#### Cited by 139 Authors

 33 Kučera, Milan 18 Eisner, Jan 17 Väth, Martin 9 Papageorgiou, Nikolaos S. 9 Recke, Lutz 5 Drábek, Pavel 5 Le, Vy Khoi 4 Fučik, Svatopluk 4 Manasevich, Raul F. 3 Gasiński, Leszek 3 Matzakos, Nikolaos M. 3 Yang, Zuodong 3 Zhang, Meirong 2 Anane, Aomar 2 Arcoya, David 2 Baltaev, Jamol I. 2 Degiovanni, Marco 2 Del Pino, Manuel A. 2 Diaz Diaz, Jesus Ildefonso 2 Fencl, Martin 2 Ferone, Adele 2 Fitzpatrick, Patrick Michael 2 Girg, Petr 2 Gossez, Jean-Pierre 2 Guo, Zongming 2 Kim, In-Sook 2 Korobkov, Mikhail V. 2 Krasnosel’skiĭ, Aleksandr Markovich 2 Kyritsi, Sophia Th. 2 Navrátil, Josef 2 Nečas, Jindřich 2 Petryshyn, Walter Wolodymyr 2 Quittner, Pavol 2 Roviello, Alba 2 Schechter, Martin 2 Seeger, Alberto 2 Takáč, Peter 1 Adly, Samir 1 Ait Mansour, Mohamed 1 Ambrosetti, Antonio 1 Babický, Vítězslav 1 Barbagallo, Annamaria 1 Becker, Ronald I. 1 Benedikt, Jiří 1 Bliman, Pierre-Alexandre 1 Bosák, Miroslav 1 Brézis, Haïm 1 Cañada Villar, Antonio 1 Cesari, Lamberto 1 Chakrone, Omar 1 Chang, Xiaojun 1 Conrad, Francis 1 Costa, David Goldstein 1 Cuesta, Mabel 1 Dambrosio, Walter 1 Dancer, Edward Norman 1 de Abreu, Emerson A. M. 1 Guedes de Figueiredo, Djairo 1 Del Pezzo, Leandro M. 1 Diamond, Phil 1 Elgueta, Manuel 1 Fiacca, Antonella 1 Furusho, Yasuhiro 1 García-Huidobro, Marta 1 García-Melián, Jorge 1 Goeleven, Daniel 1 Gowda, Muddappa Seetharama 1 Guarino Lo Bianco, Serena 1 Halidias, Nikolaos 1 Hernández, Jairo 1 Hernández, Jesús A. 1 Hu, Shouchuan 1 Huang, Yisheng 1 Issard-Roch, Françoise 1 Kandilakis, Dimitrios A. 1 Kanno, Yoshihiro 1 Kim, Yunho 1 Kourogenis, Nikolaos C. 1 Krbec, Miroslav 1 Kuznetsov, Nikolai Aleksandrovich 1 Kwon, Sunghui 1 Li, Gang 1 Li, Gongbao 1 Lima, Barnabé Pessoa 1 Liu, Bin 1 Liu, Zhenhai 1 Magalhães, Celius A. 1 Mancebo, Francisco J. 1 Mancini, Giovanni 1 Mawhin, Jean L. 1 McLinden, Lynn 1 Miao, Qing 1 Míková, Marta 1 Milojevic, Petronije S. 1 Miyagaki, Olimpio Hiroshi 1 Montenegro, José Fábio Bezerra 1 da Silva Montenegro, Marcelo 1 Montenegro, Marcos 1 Murata, Yuji 1 Murúa, Alejandro E. ...and 39 more Authors
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#### Cited in 44 Serials

 24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Journal of Differential Equations 17 Journal of Mathematical Analysis and Applications 15 Czechoslovak Mathematical Journal 15 Nonlinear Analysis. Theory, Methods & Applications 4 Applications of Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Zeitschrift für Analysis und ihre Anwendungen 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Applied Mathematics and Computation 2 Mathematische Annalen 2 Rendiconti del Seminario Matematico della Università di Padova 2 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 2 Linear Algebra and its Applications 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Chaos, Solitons and Fractals 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 International Journal for Numerical Methods in Engineering 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Mathematische Zeitschrift 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Siberian Mathematical Journal 1 Transactions of the American Mathematical Society 1 Journal of Global Optimization 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Topological Methods in Nonlinear Analysis 1 Applied Mathematics. Series B (English Edition) 1 Calculus of Variations and Partial Differential Equations 1 Doklady Mathematics 1 Positivity 1 Nonlinear Analysis. Real World Applications 1 Advanced Nonlinear Studies 1 Journal of Applied Mathematics and Computing 1 Fixed Point Theory and Applications 1 Boundary Value Problems 1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 1 Journal of Fixed Point Theory and Applications
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#### Cited in 19 Fields

 84 Partial differential equations (35-XX) 54 Operator theory (47-XX) 48 Ordinary differential equations (34-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 14 Global analysis, analysis on manifolds (58-XX) 5 Functional analysis (46-XX) 4 Mechanics of deformable solids (74-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Integral equations (45-XX) 3 Algebraic topology (55-XX) 2 Real functions (26-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 Nonassociative rings and algebras (17-XX) 1 Difference and functional equations (39-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX)