Edit Profile (opens in new tab) Berkovits, Juha Co-Author Distance Author ID: berkovits.juha Published as: Berkovits, Juha; Berkovits, J. Documents Indexed: 45 Publications since 1986 Biographic References: 1 Publication Co-Authors: 8 Co-Authors with 26 Joint Publications 203 Co-Co-Authors all top 5 Co-Authors 15 single-authored 21 Mustonen, Vesa 3 Leinfelder, Herbert 2 Fabry, Christian 2 Tienari, Matti 1 Drábek, Pavel 1 Mawhin, Jean L. 1 Miettunen, M. 1 Tajčová, Gabriela all top 5 Serials 6 Nonlinear Analysis. Theory, Methods & Applications 4 Abstract and Applied Analysis 3 Journal of Differential Equations 3 Proceedings of the American Mathematical Society 2 Bulletin of the London Mathematical Society 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Topological Methods in Nonlinear Analysis 2 Rapport. Séminaire de Mathématique. Nouvelle Série 1 Journal of Mathematical Analysis and Applications 1 Transactions of the American Mathematical Society 1 Bulletin de la Société Matheḿatique de Belgique. Série B 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Differential and Integral Equations 1 Dynamic Systems and Applications 1 Linear Algebra and its Applications 1 Zagadnienia Drgań Nieliniowych 1 Nonlinear Analysis. Real World Applications 1 Portugaliae Mathematica. Nova Série 1 Annales Academiæ Scientiarum Fennicæ. Series A I. Mathematica. Dissertationes all top 5 Fields 36 Operator theory (47-XX) 32 Partial differential equations (35-XX) 7 Algebraic topology (55-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of deformable solids (74-XX) 1 Number theory (11-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 254 times in 157 Documents Cited by ▼ Year ▼ Monotonicity methods for nonlinear evolution equations. Zbl 0894.34055Berkovits, Juha; Mustonen, Vesa 32 1996 On the topological degree for mappings of monotone type. Zbl 0605.47060Berkovits, Juha; Mustonen, Vesa 30 1986 Topological degree for perturbations of linear maximal monotone mappings and applications to a class of parabolic problems. Zbl 0806.47055Berkovits, J.; Mustonen, V. 27 1992 An extension of Leray-Schauder degree and applications to nonlinear wave equations. Zbl 0724.47024Berkovits, Juha; Mustonen, Vesa 19 1990 Extension of the Leray-Schauder degree for abstract Hammerstein type mappings. Zbl 1114.47049Berkovits, J. 18 2007 On the degree theory for nonlinear mappings of monotone type. Zbl 0592.55003Berkovits, Juha 13 1986 Time-periodic oscillations in suspension bridges: Existence of unique solutions. Zbl 0989.74031Berkovits, J.; Drábek, P.; Leinfelder, H.; Mustonen, V.; Tajčová, G. 12 2000 Topological degree theory for some classes of multis with applications to hyperbolic and elliptic problems involving discontinuous nonlinearities. Zbl 0851.47044Berkovits, Juha; Tienari, Matti 11 1996 On nonresonance for systems of semilinear wave equations. Zbl 0887.35013Berkovits, Juha; Mustonen, Vesa 8 1997 Diophantine approximation, Bessel functions and radially symmetric periodic solutions of semilinear wave equations in a ball. Zbl 0986.35070Berkovits, J.; Mawhin, J. 8 2001 On the existence of periodic solutions for semilinear wave equation on a ball in \(\mathbb{R}^ n\) with the space dimension \(n\) odd. Zbl 0836.35093Ben-Naoum, A. K.; Berkovits, J. 7 1995 On the Leray-Schauder formula and bifurcation. Zbl 0992.47030Berkovits, Juha 6 2001 Nontrivial solutions for some semilinear problems and applications to wave equations on balls and spheres. Zbl 0863.47043Ben-Naoum, A. K.; Berkovits, J. 5 1995 On multiple solutions for a class of semilinear wave equations. Zbl 0729.35081Berkovits, Juha; Mustonen, Vesa 5 1991 On the degree theory for densely defined mappings of class \((S_+)_L\). Zbl 0991.47049Berkovits, Juha 5 1999 Topological degree and multiplication theorem for a class of nonlinear mappings. Zbl 0745.47048Berkovits, Juha 5 1991 Local bifurcation results for systems of semilinear equations. Zbl 0877.58017Berkovits, Juha 5 1997 An extension of the topological degree in Hilbert space. Zbl 1117.47048Berkovits, J.; Fabry, C. 4 2005 On the bifurcation of large amplitude solutions for a system of wave and beam equations. Zbl 1028.35021Berkovits, Juha 4 2003 A note on the imbedding theorem of Browder and Ton. Zbl 1023.47029Berkovits, J. 4 2003 Systems of wave equations: matrix spectrum and nonresonance. Zbl 0965.47049Berkovits, Juha; Mustonen, Vesa; Tienari, Matti 3 2000 On the existence of multiple solutions for semilinear equations with monotone nonlinearities crossing a finite number of eigenvalues. Zbl 0757.35002Berkovits, Juha; Mustonen, Vesa 3 1991 An application of the topological degree theory for semilinear equations with strongly monotone nonlinearities. Zbl 0762.35080Berkovits, Juha; Mustonen, Vesa 3 1991 Ambrosetti - Prodi type multiplicity result for a wave equation with sublinear nonlinearity. Zbl 1160.35051Berkovits, J. 3 2007 Some bifurcation results for a class of semilinear equations via topological degree method. Zbl 0783.47069Berkovits, Juha 2 1992 Existence and multiplicity results for semilinear beam equations. Zbl 0811.35014Berkovits, J.; Mustonen, V. 2 1991 Semilinear problems with a non-symmetric linear part having an infinite dimensional kernel. Zbl 1082.47055Berkovits, J.; Fabry, C. 2 2004 On the uniqueness of the Browder degree. Zbl 1177.47064Berkovits, J.; Miettunen, M. 2 2008 Existence and multiplicity results for wave equations with time-independent nonlinearity. Zbl 1047.35100Berkovits, Juha; Leinfelder, Herbert; Mustonen, Vesa 2 2003 On the asymptotic bifurcation for a class of wave equations with sublinear nonlinearity. Zbl 0828.35078Berkovits, J.; Mustonen, V. 1 1992 On semilinear wave equations at resonance. Zbl 0856.35007Berkovits, Juha; Mustonen, Vesa 1 1996 Existence results for semilinear equations with normal linear part and applications to telegraph equations. Zbl 0857.35012Berkovits, J.; Mustonen, V. 1 1996 Some extensions of topological degree theory with applications to nonlinear problems. Zbl 0906.47047Berkovits, J. 1 1997 On the uniqueness of the Browder degree. Zbl 1177.47064Berkovits, J.; Miettunen, M. 2 2008 Extension of the Leray-Schauder degree for abstract Hammerstein type mappings. Zbl 1114.47049Berkovits, J. 18 2007 Ambrosetti - Prodi type multiplicity result for a wave equation with sublinear nonlinearity. Zbl 1160.35051Berkovits, J. 3 2007 An extension of the topological degree in Hilbert space. Zbl 1117.47048Berkovits, J.; Fabry, C. 4 2005 Semilinear problems with a non-symmetric linear part having an infinite dimensional kernel. Zbl 1082.47055Berkovits, J.; Fabry, C. 2 2004 On the bifurcation of large amplitude solutions for a system of wave and beam equations. Zbl 1028.35021Berkovits, Juha 4 2003 A note on the imbedding theorem of Browder and Ton. Zbl 1023.47029Berkovits, J. 4 2003 Existence and multiplicity results for wave equations with time-independent nonlinearity. Zbl 1047.35100Berkovits, Juha; Leinfelder, Herbert; Mustonen, Vesa 2 2003 Diophantine approximation, Bessel functions and radially symmetric periodic solutions of semilinear wave equations in a ball. Zbl 0986.35070Berkovits, J.; Mawhin, J. 8 2001 On the Leray-Schauder formula and bifurcation. Zbl 0992.47030Berkovits, Juha 6 2001 Time-periodic oscillations in suspension bridges: Existence of unique solutions. Zbl 0989.74031Berkovits, J.; Drábek, P.; Leinfelder, H.; Mustonen, V.; Tajčová, G. 12 2000 Systems of wave equations: matrix spectrum and nonresonance. Zbl 0965.47049Berkovits, Juha; Mustonen, Vesa; Tienari, Matti 3 2000 On the degree theory for densely defined mappings of class \((S_+)_L\). Zbl 0991.47049Berkovits, Juha 5 1999 On nonresonance for systems of semilinear wave equations. Zbl 0887.35013Berkovits, Juha; Mustonen, Vesa 8 1997 Local bifurcation results for systems of semilinear equations. Zbl 0877.58017Berkovits, Juha 5 1997 Some extensions of topological degree theory with applications to nonlinear problems. Zbl 0906.47047Berkovits, J. 1 1997 Monotonicity methods for nonlinear evolution equations. Zbl 0894.34055Berkovits, Juha; Mustonen, Vesa 32 1996 Topological degree theory for some classes of multis with applications to hyperbolic and elliptic problems involving discontinuous nonlinearities. Zbl 0851.47044Berkovits, Juha; Tienari, Matti 11 1996 On semilinear wave equations at resonance. Zbl 0856.35007Berkovits, Juha; Mustonen, Vesa 1 1996 Existence results for semilinear equations with normal linear part and applications to telegraph equations. Zbl 0857.35012Berkovits, J.; Mustonen, V. 1 1996 On the existence of periodic solutions for semilinear wave equation on a ball in \(\mathbb{R}^ n\) with the space dimension \(n\) odd. Zbl 0836.35093Ben-Naoum, A. K.; Berkovits, J. 7 1995 Nontrivial solutions for some semilinear problems and applications to wave equations on balls and spheres. Zbl 0863.47043Ben-Naoum, A. K.; Berkovits, J. 5 1995 Topological degree for perturbations of linear maximal monotone mappings and applications to a class of parabolic problems. Zbl 0806.47055Berkovits, J.; Mustonen, V. 27 1992 Some bifurcation results for a class of semilinear equations via topological degree method. Zbl 0783.47069Berkovits, Juha 2 1992 On the asymptotic bifurcation for a class of wave equations with sublinear nonlinearity. Zbl 0828.35078Berkovits, J.; Mustonen, V. 1 1992 On multiple solutions for a class of semilinear wave equations. Zbl 0729.35081Berkovits, Juha; Mustonen, Vesa 5 1991 Topological degree and multiplication theorem for a class of nonlinear mappings. Zbl 0745.47048Berkovits, Juha 5 1991 On the existence of multiple solutions for semilinear equations with monotone nonlinearities crossing a finite number of eigenvalues. Zbl 0757.35002Berkovits, Juha; Mustonen, Vesa 3 1991 An application of the topological degree theory for semilinear equations with strongly monotone nonlinearities. Zbl 0762.35080Berkovits, Juha; Mustonen, Vesa 3 1991 Existence and multiplicity results for semilinear beam equations. Zbl 0811.35014Berkovits, J.; Mustonen, V. 2 1991 An extension of Leray-Schauder degree and applications to nonlinear wave equations. Zbl 0724.47024Berkovits, Juha; Mustonen, Vesa 19 1990 On the topological degree for mappings of monotone type. Zbl 0605.47060Berkovits, Juha; Mustonen, Vesa 30 1986 On the degree theory for nonlinear mappings of monotone type. Zbl 0592.55003Berkovits, Juha 13 1986 all cited Publications top 5 cited Publications all top 5 Cited by 142 Authors 12 Berkovits, Juha 11 Migórski, Stanisław 8 Allalou, Chakir 8 Carl, Siegfried 8 Ochal, Anna 7 Liu, Zhenhai 6 Ait Hammou, Mustapha 6 Gasiński, Leszek 5 An, Yukun 5 El Ouaarabi, Mohamed 5 Kartsatos, Athanassios G. 5 Malík, Josef 5 Melliani, Said 5 Mustonen, Vesa 4 Asfaw, Teffera M. 4 Chen, Jianyi 4 Chen, Yuqing 4 Kim, In-Sook 4 Le, Vy Khoi 4 O’Regan, Donal 4 Peng, Zijia 4 Simon, László 4 Wang, Fanglei 4 Zhang, Zhitao 3 Abbassi, Adil 3 Adhikari, Dhruba Raj 3 Azroul, Elhoussine 3 Drábek, Pavel 3 Fečkan, Michal 3 Gazzola, Filippo 3 Hong, Suk-Joon 3 Huang, Nan-Jing 3 Ji, Shuguan 3 Kassidi, Abderrazak 2 Bae, Jung-Hyun 2 Cao, Dongxing 2 Cardin, Franco 2 Chabrowski, Jan H. 2 Chang, Shih-Sen 2 Gratie, Liliana 2 Holubová, Gabriela 2 Ibrahimou, Boubakari 2 Kim, Yunho 2 Lovison, Alberto 2 Lu, Shiping 2 Mariani, Maria Cristina 2 Mawhin, Jean L. 2 Motreanu, Dumitru 2 Rybicki, Sławomir Maciej 2 Wang, Fulong 2 Wei, Hui 2 Xiao, Yibin 2 Yu, Xingchen 2 Zhang, Wei 1 Agarwal, Ravi P. 1 Alvarez Alonso, Josefina 1 Arioli, Gianni 1 Aryal, Ashok 1 Benedetti, Irene 1 Besenyei, Ádám 1 Bezdek, Pavel 1 Bhatt, Ghanshyam 1 Bobbo, Alessia 1 Chang, Guijuan 1 Chen, Shaowei 1 Chen, Yuchin 1 Crasta, Graziano 1 El Hammar, Hasnae 1 Falocchi, Alessio 1 Fonda, Alessandro 1 Garrione, Maurizio 1 Gawrycka, Joanna 1 Ha, Tae Gab 1 Han, Jiangfeng 1 Heikkilä, Seppo V. 1 Janoušek, Jakub 1 Jiang, Yirong 1 Kalita, Piotr 1 Ke, Su 1 Ke, Yuanyuan 1 Kerr, David 1 Kim, In Hyoun 1 Kobayashi, Jun 1 Kollár, Richard 1 Kübler, Joel 1 Kunwar, Ishwari J. 1 Lahmi, Badr 1 Lakshmikantham, Vangipuram 1 Leinfelder, Herbert 1 Li, Jinkai 1 Li, Wanjun 1 Lin, Jing 1 Liu, Xilan 1 Maia, S. A. 1 Matas, Aleš 1 Miettunen, M. 1 Milla Miranda, Manuel 1 Nabab, D. 1 Nečesal, Petr 1 Niksirat, Mohammad Ali ...and 42 more Authors all top 5 Cited in 72 Serials 18 Journal of Mathematical Analysis and Applications 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Journal of Differential Equations 6 Applications of Mathematics 5 Applicable Analysis 5 Applied Mathematics and Computation 5 Nonlinear Analysis. Theory, Methods & Applications 4 Applied Mathematics Letters 3 Periodica Mathematica Hungarica 3 Proceedings of the American Mathematical Society 3 Applied Mathematics and Mechanics. (English Edition) 3 Optimization 3 Advanced Nonlinear Studies 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Chaos, Solitons and Fractals 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of Optimization Theory and Applications 2 Mathematica Slovaca 2 Transactions of the American Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Mathematical and Computer Modelling 2 Journal of Global Optimization 2 Calculus of Variations and Partial Differential Equations 2 Analysis (München) 2 Journal of Elliptic and Parabolic Equations 1 Computers & Mathematics with Applications 1 International Journal of Control 1 Israel Journal of Mathematics 1 Journal of Computational and Applied Mathematics 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Bulletin of the Korean Mathematical Society 1 Acta Mathematica Hungarica 1 Journal of Integral Equations and Applications 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Acta Mathematica Sinica. New Series 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 Continuum Mechanics and Thermodynamics 1 Set-Valued Analysis 1 Topological Methods in Nonlinear Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 Mathematics and Mechanics of Solids 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Communications in Contemporary Mathematics 1 Annales Mathematicae Silesianae 1 Journal of Nonlinear and Convex Analysis 1 Nonlinear Analysis. Real World Applications 1 Nonlinear Functional Analysis and Applications 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Fixed Point Theory and Applications 1 Cubo 1 Boundary Value Problems 1 Complex Variables and Elliptic Equations 1 Proyecciones 1 Networks and Heterogeneous Media 1 Journal of Nonlinear Science and Applications 1 Advances in Mathematical Physics 1 Azerbaijan Journal of Mathematics 1 Arabian Journal of Mathematics 1 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 1 Journal of Mathematics 1 Journal of Function Spaces 1 Open Mathematics all top 5 Cited in 20 Fields 100 Partial differential equations (35-XX) 78 Operator theory (47-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 22 Mechanics of deformable solids (74-XX) 19 Ordinary differential equations (34-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Algebraic topology (55-XX) 3 Integral equations (45-XX) 3 Numerical analysis (65-XX) 3 Mechanics of particles and systems (70-XX) 2 Functional analysis (46-XX) 2 General topology (54-XX) 1 Number theory (11-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year