Edit Profile (opens in new tab) Bushell, Peter John Co-Author Distance Author ID: bushell.peter-j Published as: Bushell, P. J.; Bushell, Peter J. External Links: MGP Documents Indexed: 27 Publications since 1962 Biographic References: 1 Publication Co-Authors: 6 Co-Authors with 11 Joint Publications 225 Co-Co-Authors all top 5 Co-Authors 16 single-authored 5 Okrasiński, Wojciech 2 Edmunds, David Eric 1 Carbery, Anthony 1 Craven, A. H. 1 McLeod, John Bryce 1 Trustrum, G. B. all top 5 Serials 6 Journal of the London Mathematical Society. Second Series 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Bulletin of the London Mathematical Society 3 Linear Algebra and its Applications 2 The Quarterly Journal of Mathematics. Oxford Second Series 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Analysis and Applications 1 Rocky Mountain Journal of Mathematics 1 Journal of Inequalities and Applications 1 Mathematical Inequalities & Applications 1 London Mathematical Society. Newsletter all top 5 Fields 7 Integral equations (45-XX) 6 Operator theory (47-XX) 5 Real functions (26-XX) 5 Ordinary differential equations (34-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Fluid mechanics (76-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 2 Functional analysis (46-XX) 1 History and biography (01-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 19 Publications have been cited 280 times in 209 Documents Cited by ▼ Year ▼ Hilbert’s metric and positive contraction mappings in a Banach space. Zbl 0275.46006 Bushell, P. J. 79 1973 Remarks on generalized trigonometric functions. Zbl 1246.33001 Bushell, P. J.; Edmunds, D. E. 32 2012 On a class of Volterra and Fredholm non-linear integral equations. Zbl 0316.45003 Bushell, P. J. 32 1976 Nonlinear Volterra integral equations with convolution kernel. Zbl 0714.45006 Bushell, P. J.; Okrasinski, W. 25 1990 On the projective contraction ratio for positive linear mappings. Zbl 0255.47048 Bushell, P. J. 19 1973 Uniqueness of solutions for a class of non-linear Volterra integral equations with convolution kernel. Zbl 0689.45013 Bushell, P. J.; Okrasinski, W. 17 1989 The Cayley-Hilbert metric and positive operators. Zbl 0622.47053 Bushell, P. J. 13 1986 Nonlinear Volterra integral equations and the Apéry identities. Zbl 0767.45002 Bushell, P. J.; Okrasiński, W. 13 1992 On the maximal interval of existence for solutions to some nonlinear Volterra integral equations with convolution kernel. Zbl 0841.45008 Bushell, P. J.; Okrasinski, W. 12 1996 On solutions of the matrix equation T’AT=A\(^2\). Zbl 0288.15019 Bushell, P. J. 10 1974 On a generalization of Barton’s integral and related integrals of complete elliptic integrals. Zbl 0628.33002 Bushell, P. J. 9 1987 On von Kármán’s equations of swirling flow. Zbl 0239.76107 Bushell, P. J. 6 1971 Trace inequalities for positive definite matrix power products. Zbl 0701.15015 Bushell, P. J.; Trustrum, G. B. 5 1990 On systems of linear ordinary differential equations and the uniqueness of monotone solutions. Zbl 0251.34007 Bushell, P. J. 2 1972 On the dependence of an eigenvalue on a parameter. Zbl 0124.29701 Bushell, P. J. 2 1963 Shapiro’s cyclic inequality for even \(n\). Zbl 1018.26010 Bushell, P. J.; McLeod, J. B. 1 2002 On solutions in a cone of ordinary differential equations in an ordered Banach space. Zbl 0317.34045 Bushell, P. J. 1 1975 Shapiro’s cyclic sum. Zbl 0829.47044 Bushell, P. J. 1 1994 The analytic behaviour of the scattering amplitude. Zbl 0106.20401 Bushell, P. J. 1 1962 Remarks on generalized trigonometric functions. Zbl 1246.33001 Bushell, P. J.; Edmunds, D. E. 32 2012 Shapiro’s cyclic inequality for even \(n\). Zbl 1018.26010 Bushell, P. J.; McLeod, J. B. 1 2002 On the maximal interval of existence for solutions to some nonlinear Volterra integral equations with convolution kernel. Zbl 0841.45008 Bushell, P. J.; Okrasinski, W. 12 1996 Shapiro’s cyclic sum. Zbl 0829.47044 Bushell, P. J. 1 1994 Nonlinear Volterra integral equations and the Apéry identities. Zbl 0767.45002 Bushell, P. J.; Okrasiński, W. 13 1992 Nonlinear Volterra integral equations with convolution kernel. Zbl 0714.45006 Bushell, P. J.; Okrasinski, W. 25 1990 Trace inequalities for positive definite matrix power products. Zbl 0701.15015 Bushell, P. J.; Trustrum, G. B. 5 1990 Uniqueness of solutions for a class of non-linear Volterra integral equations with convolution kernel. Zbl 0689.45013 Bushell, P. J.; Okrasinski, W. 17 1989 On a generalization of Barton’s integral and related integrals of complete elliptic integrals. Zbl 0628.33002 Bushell, P. J. 9 1987 The Cayley-Hilbert metric and positive operators. Zbl 0622.47053 Bushell, P. J. 13 1986 On a class of Volterra and Fredholm non-linear integral equations. Zbl 0316.45003 Bushell, P. J. 32 1976 On solutions in a cone of ordinary differential equations in an ordered Banach space. Zbl 0317.34045 Bushell, P. J. 1 1975 On solutions of the matrix equation T’AT=A\(^2\). Zbl 0288.15019 Bushell, P. J. 10 1974 Hilbert’s metric and positive contraction mappings in a Banach space. Zbl 0275.46006 Bushell, P. J. 79 1973 On the projective contraction ratio for positive linear mappings. Zbl 0255.47048 Bushell, P. J. 19 1973 On systems of linear ordinary differential equations and the uniqueness of monotone solutions. Zbl 0251.34007 Bushell, P. J. 2 1972 On von Kármán’s equations of swirling flow. Zbl 0239.76107 Bushell, P. J. 6 1971 On the dependence of an eigenvalue on a parameter. Zbl 0124.29701 Bushell, P. J. 2 1963 The analytic behaviour of the scattering amplitude. Zbl 0106.20401 Bushell, P. J. 1 1962 all cited Publications top 5 cited Publications all top 5 Cited by 278 Authors 9 Okrasiński, Wojciech 7 Bhayo, Barkat Ali 7 O’Regan, Donal 6 Bushell, Peter John 6 Małolepszy, Tomasz 6 Nussbaum, Roger David 5 Agarwal, Ravi P. 5 Lim, Yongdo 5 Mydlarczyk, Wojciech 5 Pavon, Michele 5 Wong, Patricia J. Y. 4 Arias, Mariano R. 4 Edmunds, David Eric 4 Georgiou, Tryphon T. 4 Melkonian, Houry 4 Płociniczak, Łukasz 4 Takeuchi, Shingo 4 Yin, Li 4 Zhai, Chengbo 3 Benitez, Rafael 3 Castillo, Jesús M. F. 3 Chen, Yongxin 3 Chu, Yuming 3 Gaubert, Stéphane 3 Guo, Chunmei 3 Huang, Chao-Ya 3 Huang, Min-Jei 3 Kalla, Shyam Lal 3 Kilbas, Anatoliĭ Aleksandrovich 3 Li, Chengkuan 3 Saigo, Megumi 3 Tsai, Tzong-Mo 2 Baricz, Árpád 2 Barsam, Hasan 2 Beardon, Alan Frank 2 Berzig, Maher 2 Bobkov, Vladimir E. 2 Bolós, Vicente J. 2 Boulton, Lyonell 2 Castaño-Martínez, Antonia 2 Clarkson, Kyle 2 Daraby, Bayaz 2 Eveson, Simon P. 2 Gautier, Antoine 2 Gurka, Petr 2 Inaba, Hisashi 2 Karapetyants, Nikolaĭ Karapetovich 2 Kim, Hyunmin 2 Klén, Riku 2 Lang, Jan 2 Liang, Zhandong 2 López-Blázquez, Fernando 2 McLeod, John Bryce 2 Medveď, Milan 2 Meehan, Maria 2 Metz, Volker 2 Mohebi, Hossein 2 Okrasińska-Płociniczak, Hanna 2 Parmar, Rakesh Kumar 2 Parter, Seymour V. 2 Pečarić, Josip 2 Persson, Lars-Erik 2 Roberts, Catherine Anne 2 Salamanca-Miño, Begoña 2 Srivastava, Hari Mohan 2 Tanaka, Mieko 2 Tudisco, Francesco 2 Tuljapurkar, Shripad D. 2 Vuorinen, Matti Keijo Kustaa 2 Wang, Miaokun 2 Yakubov, Askhab Ya. 2 Yang, Chen 1 Agarwal, Ritu 1 Akian, Marianne 1 Al-Saqabi, Bader N. 1 Arabi, Leila 1 Asarin, E. A. 1 Bakşi, Özlem 1 Balint, Stefan 1 Barner, Christoph 1 Barnsley, Michael Fielding 1 Barza, Sorina 1 Bau, Sheng 1 Baustian, Falko 1 Bellout, Hamid 1 Benahmed, Boubakeur 1 Borndörfer, Ralf 1 Bouali, Marwa 1 Buckwar, Evelyn 1 Carroll, Joseph E. 1 Chalco-Cano, Yurilev 1 Chang, Li-Fen 1 Chen, Chaoping 1 Chen, Yongzhuo 1 Chen, Yuansi 1 Cheng, Yan-Hsiou 1 Chopra, Purnima 1 Cichoń, Mieczysław 1 Claassens, Floris 1 Cobzaş, Ştefan ...and 178 more Authors all top 5 Cited in 105 Serials 25 Journal of Mathematical Analysis and Applications 12 Linear Algebra and its Applications 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Journal of Integral Equations and Applications 7 Applied Mathematics and Computation 5 Computers & Mathematics with Applications 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Journal of Computational and Applied Mathematics 3 Journal of Approximation Theory 3 Mathematische Zeitschrift 3 SIAM Journal on Control and Optimization 3 Journal of Inequalities and Applications 3 Communications on Pure and Applied Analysis 2 Archive for Rational Mechanics and Analysis 2 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Automatica 2 Journal of Optimization Theory and Applications 2 Journal of Soviet Mathematics 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Theoretical Population Biology 2 Statistics 2 Aequationes Mathematicae 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Positivity 2 Acta Mathematica Sinica. English Series 2 Stochastics and Dynamics 2 Advances in Difference Equations 2 Nonlinear Oscillations 2 Journal of Mathematical Inequalities 2 Arabian Journal of Mathematics 2 Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Acta Mechanica 1 Analysis Mathematica 1 Applicable Analysis 1 Journal of Engineering Mathematics 1 Journal of Mathematical Biology 1 Letters in Mathematical Physics 1 Mathematical Biosciences 1 Mathematical Notes 1 Nonlinearity 1 Reports on Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 The Annals of Probability 1 Czechoslovak Mathematical Journal 1 Functional Analysis and its Applications 1 Geometriae Dedicata 1 Integral Equations and Operator Theory 1 Journal of Differential Equations 1 Numerical Functional Analysis and Optimization 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Journal of Theoretical Probability 1 Applied Mathematics Letters 1 SIAM Journal on Matrix Analysis and Applications 1 The Journal of Geometric Analysis 1 Numerical Algorithms 1 European Journal of Operational Research 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Topological Methods in Nonlinear Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Doklady Mathematics 1 Mathematical Inequalities & Applications 1 Fractional Calculus & Applied Analysis 1 Revista Matemática Complutense 1 European Journal of Mechanics. B. Fluids 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Nonlinear Science and Numerical Simulation 1 Differential Equations 1 Foundations of Computational Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Machine Learning Research (JMLR) 1 Computational Methods and Function Theory 1 Central European Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Fixed Point Theory and Applications 1 Boundary Value Problems 1 Journal of Fixed Point Theory and Applications 1 Frontiers of Mathematics in China 1 Electronic Journal of Statistics 1 Journal of Topology and Analysis 1 Tbilisi Mathematical Journal 1 Journal of Nonlinear Science and Applications 1 Acta Universitatis Sapientiae. Mathematica 1 Differential Equations and Applications 1 Journal of Abstract Differential Equations and Applications (JADEA) 1 Mathematical Control and Related Fields 1 Axioms ...and 5 more Serials all top 5 Cited in 44 Fields 57 Integral equations (45-XX) 48 Operator theory (47-XX) 31 Special functions (33-XX) 26 Real functions (26-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 21 Ordinary differential equations (34-XX) 17 Functional analysis (46-XX) 16 Partial differential equations (35-XX) 14 Numerical analysis (65-XX) 13 Probability theory and stochastic processes (60-XX) 10 Fluid mechanics (76-XX) 9 Systems theory; control (93-XX) 7 Biology and other natural sciences (92-XX) 6 Measure and integration (28-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Geometry (51-XX) 6 General topology (54-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Statistics (62-XX) 4 Functions of a complex variable (30-XX) 4 Difference and functional equations (39-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Quantum theory (81-XX) 4 Operations research, mathematical programming (90-XX) 3 Topological groups, Lie groups (22-XX) 3 Differential geometry (53-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Approximations and expansions (41-XX) 2 Convex and discrete geometry (52-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year