Edit Profile (opens in new tab) Kappel, Franz Compute Distance To: Compute Author ID: kappel.franz Published as: Kappel, F.; Kappel, Franz Homepage: https://imsc.uni-graz.at/kappel/ External Links: MGP · Google Scholar · ResearchGate · dblp Documents Indexed: 86 Publications since 1970, including 4 Books 15 Contributions as Editor Co-Authors: 54 Co-Authors with 81 Joint Publications 1,230 Co-Co-Authors all top 5 Co-Authors 20 single-authored 12 Ito, Kazufumi 12 Schappacher, Wilhelm 11 Kunisch, Karl 9 Banks, Harvey Thomas 7 Batzel, Jerry J. 5 Kotanko, Peter 5 Maksimov, Vyacheslav Ivanovich 4 de los Reyes V, Aurelio Asug 4 Desch, Wolfgang 4 Salamon, Dietmar Arno 3 Fuertinger, Doris H. 3 Hussein, Abd El-Rahman Aly 3 Wang, Chuyue 3 Zhang, Kangpei 2 Bachar, Mostafa 2 Brézis, Haïm 2 Crandall, Michael G. 2 Fink, Martin 2 Holm, Kathleen J. 2 Levin, Nathan W. 2 Peer, Robert O. 2 Peichl, Gunther H. 2 Thijssen, Stephan 2 Turi, Janos 1 Bachhiesl, Peter 1 Blizorukova, Marina Sergeevna 1 Botsford, Louis W. 1 Calderon, Pio Gabrielle B. 1 Cintrón-Arias, Ariel 1 Dediu, Sava 1 Di Pasquantonio, Filippo 1 Ernstberger, Stacey L. 1 Goldstein, Jerome Arthur 1 Grimmer, Ronald 1 Habib, Mustafa 1 Hintermüller, Michael 1 Hutten, H. 1 Jung, Eunok 1 Karemaker, John M. 1 Knobloch, Hans-Wilhelm 1 Kryazhimskiĭ, Arkadiĭ Viktorovich 1 Kuntsevich, Alexei V. 1 Lafer, Silvia 1 Meyring-Wösten, Anna 1 Munir, Mohammad 1 Paguio, Victoria May E. 1 Rogg, S. 1 Scharfetter, Hermann 1 Schmitt, Klaus 1 Schneditz, Daniel 1 Skuratov, E. N. 1 Teschl, Susanne 1 Tran, Hien T. 1 Volkwein, Stefan all top 5 Serials 5 Journal of Mathematical Biology 5 Journal of Differential Equations 5 Journal of Inverse and Ill-Posed Problems 5 ISNM. International Series of Numerical Mathematics 4 Mathematical Biosciences 3 Journal of Mathematical Analysis and Applications 3 SIAM Journal on Control and Optimization 3 Lecture Notes in Control and Information Sciences 3 Nonlinear Analysis. Theory, Methods & Applications 2 SIAM Journal on Numerical Analysis 2 Differential and Integral Equations 2 Computational Optimization and Applications 2 International Journal of Applied Mathematics and Computer Science 2 Lecture Notes in Mathematics 1 Archive for Rational Mechanics and Analysis 1 Inverse Problems 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 Applied Mathematics and Optimization 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Results in Mathematics 1 Semigroup Forum 1 Transactions of the American Mathematical Society 1 Annals of Differential Equations 1 Mathematica Balkanica. New Series 1 Bulletin of the Faculty of Science. C. Mathematics 1 Surveys on Mathematics for Industry 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Matemática Aplicada e Computacional 1 Doklady Mathematics 1 Italian Journal of Pure and Applied Mathematics 1 Frontiers in Applied Mathematics 1 Lecture Notes in Pure and Applied Mathematics 1 Series on Advances in Mathematics for Applied Sciences 1 Mathematical Modelling of Natural Phenomena 1 Journal of Theoretical Biology 1 IET Communications all top 5 Fields 52 Ordinary differential equations (34-XX) 31 Systems theory; control (93-XX) 30 Biology and other natural sciences (92-XX) 22 Numerical analysis (65-XX) 20 Operator theory (47-XX) 16 General and overarching topics; collections (00-XX) 16 Partial differential equations (35-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 7 Integral equations (45-XX) 7 Statistics (62-XX) 5 Approximations and expansions (41-XX) 4 Operations research, mathematical programming (90-XX) 3 Functional analysis (46-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Fluid mechanics (76-XX) 1 Commutative algebra (13-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 72 Publications have been cited 692 times in 525 Documents Cited by ▼ Year ▼ Spline approximations for functional differential equations. Zbl 0422.34074Banks, H. T.; Kappel, F. 66 1979 Some considerations to the fundamental theory of infinite delay equations. Zbl 0466.34036Kappel, F.; Schappacher, W. 62 1980 Gewöhnliche Differentialgleichungen. Zbl 0283.34001Knobloch, H. W.; Kappel, F. 44 1974 An implementation of Shor’s \(r\)-algorithm. Zbl 0947.90112Kappel, Franz; Kuntsevich, Alexei V. 35 2000 Evolution equations and approximations. Zbl 1014.34045Ito, Kazufumi; Kappel, Franz 26 2002 Series expansions for resolvents of Volterra integrodifferential equations in Banach space. Zbl 0538.45012Grimmer, R. C.; Kappel, F. 26 1984 Autonomous nonlinear functional differential equations and averaging approximations. Zbl 0402.34056Kappel, F.; Schappacher, W. 25 1978 Spline approximations for neutral functional differential equations. Zbl 0511.65053Kappel, F.; Kunisch, K. 20 1981 Transformation semigroups and \(L^ 1\)-approximation for size structured population models. Zbl 0687.47033Banks, H. T.; Kappel, F. 20 1989 On degeneracy of functional-differential equations. Zbl 0363.34046Kappel, F. 19 1976 A fully discretized approximation scheme for size-structured population models. Zbl 0732.92019Ito, K.; Kappel, F.; Peichl, G. 17 1991 Non-linear functional differential equations and abstract integral equations. Zbl 0455.34057Kappel, F.; Schappacher, W. 17 1979 The Trotter-Kato theorem and approximation of PDEs. Zbl 0893.47025Ito, Kazufumi; Kappel, Franz 16 1998 Cardiovascular and respiratory systems. Modeling, analysis, and control. Zbl 1182.92017Batzel, Jerry J.; Kappel, Franz; Schneditz, Daniel; Tran, Hien T. 15 2007 On neutral functional differential equations with nonatomic difference operator. Zbl 0595.34066Kappel, F.; Zhang, Kang Pei 14 1986 Spline approximation for retarded systems and the Riccati equation. Zbl 0642.34065Kappel, F.; Salamon, D. 14 1987 Generalized sensitivities and optimal experimental design. Zbl 1279.62089Banks, H. T.; Dediu, Sava; Ernstberger, Stacey L.; Kappel, Franz 14 2010 Equivalence of functional-differential equations of neutral type and abstract Cauchy problems. Zbl 0583.34050Kappel, F.; Zhang, Kangpei 14 1986 An approximation theorem for the algebraic Riccati equation. Zbl 0717.49030Kappel, Franz; Salamon, Dietmar 12 1990 A mathematical model for fundamental regulation processes in the cardiovascular system. Zbl 0799.92002Kappel, F.; Peer, R. O. 12 1993 Approximation of linear age-structured population models using Legendre polynomials. Zbl 0819.65123Kappel, Franz; Zhang, Kangpei 12 1993 A uniformly differentiable approximation scheme for delay systems using splines. Zbl 0738.65055Ito, K.; Kappel, F. 11 1991 A cardiovascular-respiratory control system model including state delay with application to congestive heart failure in humans. Zbl 1080.92035Batzel, Jerry J.; Kappel, Franz; Timischl-Teschl, Susanne 10 2005 Time delay in physiological systems: analyzing and modeling its impact. Zbl 1244.92012Batzel, Jerry J.; Kappel, Franz 10 2011 Degenerate difference-differential equations: Algebraic theory. Zbl 0357.34062Kappel, F. 9 1977 Approximation of infinite delay and Volterra type equations. Zbl 0662.65117Ito, K.; Kappel, F. 8 1989 On the stability properties of spline approximations for retarded systems. Zbl 0695.93047Kappel, F.; Salamon, D. 8 1989 Comparison of optimal design methods in inverse problems. Zbl 1271.62169Banks, H. T.; Holm, K.; Kappel, F. 8 2011 Laplace-transform methods and linear autonomous functional-differential equations. Zbl 0352.34058Kappel, F. 8 1976 Semigroups and delay equations. Zbl 0622.47041Kappel, F. 7 1986 A semigroup formulation of a nonlinear size-structured distributed rate population model. Zbl 0828.92024Banks, H. T.; Kappel, F.; Wang, C. 7 1994 Dynamic reconstruction of states, and the guaranteeing control of a reaction-diffusion system. Zbl 1043.93511Kappel, F.; Kryazhimskiĭ, A. V.; Maksimov, V. I. 7 2000 Weak solutions and differentiability for size structured population models. Zbl 0766.92013Banks, H. T.; Kappel, F.; Wang, C. 6 1991 The invariance of limit sets for autonomous functional-differential equations. Zbl 0206.38802Kappel, F. 5 1970 A variational approach to approximation of delay systems. Zbl 0754.34082Ito, Kazufumi; Kappel, Franz; Salamon, Dietmar 5 1991 Aspects of control of the cardiovascular-respiratory system during orthostatic stress induced by lower body negative pressure. Zbl 1114.92040Kappel, Franz; Fink, Martin; Batzel, Jerry J. 5 2007 Parameter selection methods in inverse problem formulation. Zbl 1400.92011Banks, H. T.; Cintrón-Arias, Ariel; Kappel, Franz 4 2013 Invariance results for delay and Volterra equations in fractional order Sobolev spaces. Zbl 0635.45017Kappel, F.; Kunisch, K. 4 1987 Approximation of the state of infinite delay and Volterra-type equations. Zbl 0523.34062Kappel, F.; Kunisch, K. 4 1983 Two families of approximation schemes for delay systems. Zbl 0756.34078Ito, Kazufumi; Kappel, Franz 4 1992 On well-posedness of singular neutral equations in the state space \(C\). Zbl 0873.34052Ito, Kazufumi; Kappel, Franz; Turi, Janos 4 1996 A model for the cardiovascular system under an ergometric workload. Zbl 0891.92011Kappel, Franz; Lafer, Silvia; Peer, Robert O. 3 1997 Robust dynamic input reconstruction for delay systems. Zbl 0963.93043Kappel, Franz; Maksimov, Vyacheslav 3 2000 Modeling the dynamics of the cardiovascular-respiratory system (CVRS) in humans, a survey. Zbl 1263.76110Kappel, F. 3 2012 Estimation of growth and survival in size-structured cohort data: an application to larval striped bass (Morone saxatilis). Zbl 0735.92016Banks, H. T.; Botsford, L. W.; Kappel, F.; Wang, C. 3 1991 On integro-differential equations with weakly singular kernels. Zbl 0749.45008Ito, Kazufumi; Kappel, Franz 3 1991 A model of erythropoiesis in adults with sufficient iron availability. Zbl 1303.92023Fuertinger, Doris H.; Kappel, Franz; Thijssen, Stephan; Levin, Nathan W.; Kotanko, Peter 3 2013 A problem of robust control of a system with time delay. Zbl 0995.93040Blizorukova, Marina; Kappel, Franz; Maksimov, Vyacheslav 3 2001 Linear autonomous functional differential equations. Zbl 1130.34039Kappel, Franz 3 2006 Generalized sensitivity functions for multiple output systems. Zbl 1377.90092Kappel, Franz; Munir, Mohammad 3 2017 Spline approximation for autonomous nonlinear functional differential equations. Zbl 0598.65055Kappel, F. 2 1986 Problems of dynamical identification of differential-functional control systems. Zbl 1042.49543Kappel, Franz; Maksimov, Vyacheslav I. 2 2001 Mathematical modeling and validation in physiology. Applications to the cardiovascular and respiratory systems. Zbl 1256.92010 2 2013 Some remarks to the problem of degeneracy for functional-differential equations. Zbl 0271.34086Kappel, F. 2 1973 Stabilizing control for a pulsatile cardiovascular mathematical model. Zbl 1298.92032de los Reyes V, Aurelio A.; Jung, Eunok; Kappel, Franz 2 2014 Approximation of LQR-problems for delay systems: A survey. Zbl 0778.93050Kappel, F. 2 1991 On dynamical reconstruction of control in a system with time delay. Finite-dimensional models. Zbl 0993.34070Kappel, F.; Maksimov, V. I.; Skuratov, E. N. 2 2001 Control aspects of the human cardiovascular-respiratory system under a nonconstant workload. Zbl 1378.92013Calderon, Pio Gabrielle B.; Habib, Mustafa; Kappel, Franz; de los Reyes V, Aurelio A. 2 2017 Optimal EPO dosing in hemodialysis patients using a non-linear model predictive control approach. Zbl 1430.92039Rogg, S.; Fuertinger, D. H.; Volkwein, S.; Kappel, F.; Kotanko, P. 2 2019 Periodic solutions of systems of ordinary differential equations which approximate delay equations. Zbl 0715.34122Kappel, F.; Schmitt, Klaus 1 1988 Balerkin type approximation schemes for delay systems. Zbl 0615.34062Kappel, F. 1 1985 Approximation of neutral functional differential equations in the state space \(R^ nxL^ 2\). Zbl 0524.34067Kappel, F. 1 1981 Infinite-dimensional systems. Proceedings of the Conference on Operator Semigroups and Applications held in Retzhof (Styria), Austria, June 5-11, 1983. Zbl 0535.00013 1 1984 Differenzen-Differentialgleichungen. Zbl 0277.34069Kappel, F. 1 1973 Modeling the human cardiovascular control response to blood volume loss due to hemorrhage. Zbl 1110.92015Fink, Martin; Batzel, Jerry; Kappel, Franz 1 2006 Control and estimation of distributed parameter systems. International conference in Vorau, Austria, July 14–20, 1996. Zbl 0889.00041 1 1998 Differential equations with applications in biology, physics, and engineering. Proceedings of the international conference, held in Leibnitz, Austria. Zbl 0741.00056 1 1991 Modeling pulsatility in the human cardiovascular system. Zbl 1398.92055de los Reyes V, Aurelio; Kappel, Franz 1 2010 Approximation of semilinear Cauchy problems. Zbl 0828.34068Ito, Kazufumi; Kappel, Franz 1 1995 Degeneracy of functional differential equations. Zbl 0346.34050Kappel, F. 1 1975 Stability criteria for kinetic reactor equations. Zbl 0348.34059Kappel, F.; DiPasquantonio, F. 1 1975 A physiologically based model of vascular refilling during ultrafiltration in hemodialysis. Zbl 1343.92118de los Reyes V, Aurelio A.; Fuertinger, Doris H.; Kappel, Franz; Meyring-Wösten, Anna; Thijssen, Stephan; Kotanko, Peter 1 2016 Optimal EPO dosing in hemodialysis patients using a non-linear model predictive control approach. Zbl 1430.92039Rogg, S.; Fuertinger, D. H.; Volkwein, S.; Kappel, F.; Kotanko, P. 2 2019 Generalized sensitivity functions for multiple output systems. Zbl 1377.90092Kappel, Franz; Munir, Mohammad 3 2017 Control aspects of the human cardiovascular-respiratory system under a nonconstant workload. Zbl 1378.92013Calderon, Pio Gabrielle B.; Habib, Mustafa; Kappel, Franz; de los Reyes V, Aurelio A. 2 2017 A physiologically based model of vascular refilling during ultrafiltration in hemodialysis. Zbl 1343.92118de los Reyes V, Aurelio A.; Fuertinger, Doris H.; Kappel, Franz; Meyring-Wösten, Anna; Thijssen, Stephan; Kotanko, Peter 1 2016 Stabilizing control for a pulsatile cardiovascular mathematical model. Zbl 1298.92032de los Reyes V, Aurelio A.; Jung, Eunok; Kappel, Franz 2 2014 Parameter selection methods in inverse problem formulation. Zbl 1400.92011Banks, H. T.; Cintrón-Arias, Ariel; Kappel, Franz 4 2013 A model of erythropoiesis in adults with sufficient iron availability. Zbl 1303.92023Fuertinger, Doris H.; Kappel, Franz; Thijssen, Stephan; Levin, Nathan W.; Kotanko, Peter 3 2013 Mathematical modeling and validation in physiology. Applications to the cardiovascular and respiratory systems. Zbl 1256.92010 2 2013 Modeling the dynamics of the cardiovascular-respiratory system (CVRS) in humans, a survey. Zbl 1263.76110Kappel, F. 3 2012 Time delay in physiological systems: analyzing and modeling its impact. Zbl 1244.92012Batzel, Jerry J.; Kappel, Franz 10 2011 Comparison of optimal design methods in inverse problems. Zbl 1271.62169Banks, H. T.; Holm, K.; Kappel, F. 8 2011 Generalized sensitivities and optimal experimental design. Zbl 1279.62089Banks, H. T.; Dediu, Sava; Ernstberger, Stacey L.; Kappel, Franz 14 2010 Modeling pulsatility in the human cardiovascular system. Zbl 1398.92055de los Reyes V, Aurelio; Kappel, Franz 1 2010 Cardiovascular and respiratory systems. Modeling, analysis, and control. Zbl 1182.92017Batzel, Jerry J.; Kappel, Franz; Schneditz, Daniel; Tran, Hien T. 15 2007 Aspects of control of the cardiovascular-respiratory system during orthostatic stress induced by lower body negative pressure. Zbl 1114.92040Kappel, Franz; Fink, Martin; Batzel, Jerry J. 5 2007 Linear autonomous functional differential equations. Zbl 1130.34039Kappel, Franz 3 2006 Modeling the human cardiovascular control response to blood volume loss due to hemorrhage. Zbl 1110.92015Fink, Martin; Batzel, Jerry; Kappel, Franz 1 2006 A cardiovascular-respiratory control system model including state delay with application to congestive heart failure in humans. Zbl 1080.92035Batzel, Jerry J.; Kappel, Franz; Timischl-Teschl, Susanne 10 2005 Evolution equations and approximations. Zbl 1014.34045Ito, Kazufumi; Kappel, Franz 26 2002 A problem of robust control of a system with time delay. Zbl 0995.93040Blizorukova, Marina; Kappel, Franz; Maksimov, Vyacheslav 3 2001 Problems of dynamical identification of differential-functional control systems. Zbl 1042.49543Kappel, Franz; Maksimov, Vyacheslav I. 2 2001 On dynamical reconstruction of control in a system with time delay. Finite-dimensional models. Zbl 0993.34070Kappel, F.; Maksimov, V. I.; Skuratov, E. N. 2 2001 An implementation of Shor’s \(r\)-algorithm. Zbl 0947.90112Kappel, Franz; Kuntsevich, Alexei V. 35 2000 Dynamic reconstruction of states, and the guaranteeing control of a reaction-diffusion system. Zbl 1043.93511Kappel, F.; Kryazhimskiĭ, A. V.; Maksimov, V. I. 7 2000 Robust dynamic input reconstruction for delay systems. Zbl 0963.93043Kappel, Franz; Maksimov, Vyacheslav 3 2000 The Trotter-Kato theorem and approximation of PDEs. Zbl 0893.47025Ito, Kazufumi; Kappel, Franz 16 1998 Control and estimation of distributed parameter systems. International conference in Vorau, Austria, July 14–20, 1996. Zbl 0889.00041 1 1998 A model for the cardiovascular system under an ergometric workload. Zbl 0891.92011Kappel, Franz; Lafer, Silvia; Peer, Robert O. 3 1997 On well-posedness of singular neutral equations in the state space \(C\). Zbl 0873.34052Ito, Kazufumi; Kappel, Franz; Turi, Janos 4 1996 Approximation of semilinear Cauchy problems. Zbl 0828.34068Ito, Kazufumi; Kappel, Franz 1 1995 A semigroup formulation of a nonlinear size-structured distributed rate population model. Zbl 0828.92024Banks, H. T.; Kappel, F.; Wang, C. 7 1994 A mathematical model for fundamental regulation processes in the cardiovascular system. Zbl 0799.92002Kappel, F.; Peer, R. O. 12 1993 Approximation of linear age-structured population models using Legendre polynomials. Zbl 0819.65123Kappel, Franz; Zhang, Kangpei 12 1993 Two families of approximation schemes for delay systems. Zbl 0756.34078Ito, Kazufumi; Kappel, Franz 4 1992 A fully discretized approximation scheme for size-structured population models. Zbl 0732.92019Ito, K.; Kappel, F.; Peichl, G. 17 1991 A uniformly differentiable approximation scheme for delay systems using splines. Zbl 0738.65055Ito, K.; Kappel, F. 11 1991 Weak solutions and differentiability for size structured population models. Zbl 0766.92013Banks, H. T.; Kappel, F.; Wang, C. 6 1991 A variational approach to approximation of delay systems. Zbl 0754.34082Ito, Kazufumi; Kappel, Franz; Salamon, Dietmar 5 1991 Estimation of growth and survival in size-structured cohort data: an application to larval striped bass (Morone saxatilis). Zbl 0735.92016Banks, H. T.; Botsford, L. W.; Kappel, F.; Wang, C. 3 1991 On integro-differential equations with weakly singular kernels. Zbl 0749.45008Ito, Kazufumi; Kappel, Franz 3 1991 Approximation of LQR-problems for delay systems: A survey. Zbl 0778.93050Kappel, F. 2 1991 Differential equations with applications in biology, physics, and engineering. Proceedings of the international conference, held in Leibnitz, Austria. Zbl 0741.00056 1 1991 An approximation theorem for the algebraic Riccati equation. Zbl 0717.49030Kappel, Franz; Salamon, Dietmar 12 1990 Transformation semigroups and \(L^ 1\)-approximation for size structured population models. Zbl 0687.47033Banks, H. T.; Kappel, F. 20 1989 Approximation of infinite delay and Volterra type equations. Zbl 0662.65117Ito, K.; Kappel, F. 8 1989 On the stability properties of spline approximations for retarded systems. Zbl 0695.93047Kappel, F.; Salamon, D. 8 1989 Periodic solutions of systems of ordinary differential equations which approximate delay equations. Zbl 0715.34122Kappel, F.; Schmitt, Klaus 1 1988 Spline approximation for retarded systems and the Riccati equation. Zbl 0642.34065Kappel, F.; Salamon, D. 14 1987 Invariance results for delay and Volterra equations in fractional order Sobolev spaces. Zbl 0635.45017Kappel, F.; Kunisch, K. 4 1987 On neutral functional differential equations with nonatomic difference operator. Zbl 0595.34066Kappel, F.; Zhang, Kang Pei 14 1986 Equivalence of functional-differential equations of neutral type and abstract Cauchy problems. Zbl 0583.34050Kappel, F.; Zhang, Kangpei 14 1986 Semigroups and delay equations. Zbl 0622.47041Kappel, F. 7 1986 Spline approximation for autonomous nonlinear functional differential equations. Zbl 0598.65055Kappel, F. 2 1986 Balerkin type approximation schemes for delay systems. Zbl 0615.34062Kappel, F. 1 1985 Series expansions for resolvents of Volterra integrodifferential equations in Banach space. Zbl 0538.45012Grimmer, R. C.; Kappel, F. 26 1984 Infinite-dimensional systems. Proceedings of the Conference on Operator Semigroups and Applications held in Retzhof (Styria), Austria, June 5-11, 1983. Zbl 0535.00013 1 1984 Approximation of the state of infinite delay and Volterra-type equations. Zbl 0523.34062Kappel, F.; Kunisch, K. 4 1983 Spline approximations for neutral functional differential equations. Zbl 0511.65053Kappel, F.; Kunisch, K. 20 1981 Approximation of neutral functional differential equations in the state space \(R^ nxL^ 2\). Zbl 0524.34067Kappel, F. 1 1981 Some considerations to the fundamental theory of infinite delay equations. Zbl 0466.34036Kappel, F.; Schappacher, W. 62 1980 Spline approximations for functional differential equations. Zbl 0422.34074Banks, H. T.; Kappel, F. 66 1979 Non-linear functional differential equations and abstract integral equations. Zbl 0455.34057Kappel, F.; Schappacher, W. 17 1979 Autonomous nonlinear functional differential equations and averaging approximations. Zbl 0402.34056Kappel, F.; Schappacher, W. 25 1978 Degenerate difference-differential equations: Algebraic theory. Zbl 0357.34062Kappel, F. 9 1977 On degeneracy of functional-differential equations. Zbl 0363.34046Kappel, F. 19 1976 Laplace-transform methods and linear autonomous functional-differential equations. Zbl 0352.34058Kappel, F. 8 1976 Degeneracy of functional differential equations. Zbl 0346.34050Kappel, F. 1 1975 Stability criteria for kinetic reactor equations. Zbl 0348.34059Kappel, F.; DiPasquantonio, F. 1 1975 Gewöhnliche Differentialgleichungen. Zbl 0283.34001Knobloch, H. W.; Kappel, F. 44 1974 Some remarks to the problem of degeneracy for functional-differential equations. Zbl 0271.34086Kappel, F. 2 1973 Differenzen-Differentialgleichungen. Zbl 0277.34069Kappel, F. 1 1973 The invariance of limit sets for autonomous functional-differential equations. Zbl 0206.38802Kappel, F. 5 1970 all cited Publications top 5 cited Publications all top 5 Cited by 728 Authors 31 Banks, Harvey Thomas 29 Kappel, Franz 15 Maksimov, Vyacheslav Ivanovich 12 Metel’skij, A. V. 11 Ito, Kazufumi 9 Ackleh, Azmy S. 9 Schappacher, Wilhelm 8 Kunisch, Karl 7 Angulo, Oscar 7 Bortz, David M. 7 Deng, Keng 7 Fu, Xianlong 6 Batzel, Jerry J. 6 Benchohra, Mouffak 6 Ezzinbi, Khalil 6 López-Marcos, Juan Carlos 6 Ouahab, Abdelghani 6 Turi, Janos 5 Aulbach, Bernd 5 Dos Santos, José Paulo Carvalho 5 Fabiano, Richard H. 5 Hu, Shuhua 5 Jackiewicz, Zdzislaw 5 Pepe, Pierdomenico 4 Adimy, Mostafa 4 Curtain, Ruth Frances 4 Desch, Wolfgang 4 Diekmann, Odo 4 Flockerzi, Dietrich 4 Hegoburu, Nicolas 4 Karpuk, V. V. 4 Kotanko, Peter 4 Lombard, Bruno 4 Olufsen, Mette Sofie 4 Sutton, Karyn L. 3 Bachar, Mostafa 3 Bagirov, Adil M. 3 Balachandran, Krishnan 3 Bátkai, András 3 Blizorukova, Marina Sergeevna 3 Breda, Dimitri 3 Brunner, Hermann 3 Burton, Theodore Allen 3 Chang, Jung-Chan 3 Csomós, Petra 3 de los Reyes V, Aurelio Asug 3 Fabbri, Giorgio 3 Fuertinger, Doris H. 3 Germani, Alfredo 3 Haddock, John R. 3 Huang, Hai 3 Iftime, Orest V. 3 Krisztin, Tibor 3 López Fenner, Julio 3 Magal, Pierre 3 Manes, Costanzo 3 Pinto, Manuel 3 Plaksin, Anton Romanovich 3 Rosen, I. Gary 3 Sengadir, T. 3 Shin, Jong Son 3 Sourd, Francis 3 Tran, Hien T. 3 Tucsnak, Marius 3 Vermiglio, Rossana 3 Xu, Houbao 3 Zhu, Jianbo 2 Abada, Nadjet 2 Abia, Luis M. 2 Arino, Ovide 2 Arthi, Ganesan 2 Avazzadeh, Zakieh 2 Aylaj, Bouchra 2 Baker, Christopher Thomas Hale 2 Banks, John E. 2 Barreira, Luis Manuel 2 Bees, Martin A. 2 Ben-Tal, Alona 2 Blanc, Emilie 2 Boucekkine, Raouf 2 Bouzahir, Hassane 2 Burachik, Regina Sandra 2 Burns, John A. 2 Castillo-Chavez, Carlos 2 Catenacci, Jared 2 Cintrón-Arias, Ariel 2 Czapla, Dawid 2 Człapiński, Tomasz 2 Da Prato, Giuseppe 2 Das, Parthasakha 2 Das, Pritha 2 Das, Samhita 2 Delcambre, Mark L. 2 El Ghali, Ahmed 2 El Moudden, Mustapha 2 Fuchs, Erich 2 Galand, Lucie 2 Ghavidel, Seyedeh Marzieh 2 Gilsinn, David E. 2 Grimmer, Ronald ...and 628 more Authors all top 5 Cited in 167 Serials 44 Journal of Mathematical Analysis and Applications 26 Journal of Differential Equations 21 Nonlinear Analysis. Theory, Methods & Applications 17 Differential Equations 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 Applied Mathematics and Computation 12 Mathematical Biosciences 9 Computers & Mathematics with Applications 9 Journal of Integral Equations and Applications 8 Applicable Analysis 8 Automatica 8 Journal of Computational and Applied Mathematics 8 Mathematical and Computer Modelling 8 Journal of Theoretical Biology 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Bulletin of Mathematical Biology 7 Mathematical Biosciences and Engineering 7 Journal of Biological Dynamics 6 Journal of Mathematical Biology 6 Systems & Control Letters 6 Automation and Remote Control 6 Journal of Inverse and Ill-Posed Problems 6 Proceedings of the Steklov Institute of Mathematics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Journal of Optimization Theory and Applications 5 Semigroup Forum 5 Discrete and Continuous Dynamical Systems. Series B 4 International Journal of Control 4 Journal of Mathematical Physics 4 Applied Mathematics and Optimization 4 Numerische Mathematik 4 Quarterly of Applied Mathematics 4 Results in Mathematics 4 Transactions of the American Mathematical Society 4 Optimization 4 European Journal of Control 4 Journal of Evolution Equations 3 Mathematics of Computation 3 Archiv der Mathematik 3 Computing 3 Kybernetika 3 Numerical Functional Analysis and Optimization 3 SIAM Journal on Control and Optimization 3 Tohoku Mathematical Journal. Second Series 3 Applied Numerical Mathematics 3 Computers & Operations Research 3 Applied Mathematics Letters 3 Journal of Global Optimization 3 Applied Mathematical Modelling 3 International Journal of Computer Mathematics 3 Journal of Mathematical Sciences (New York) 3 Differential Equations and Dynamical Systems 3 International Journal of Applied Mathematics and Computer Science 3 Optimization Letters 3 International Journal of Biomathematics 3 Mathematical Control and Related Fields 2 Israel Journal of Mathematics 2 Rocky Mountain Journal of Mathematics 2 Wave Motion 2 Journal of Functional Analysis 2 Mathematische Annalen 2 Monatshefte für Mathematik 2 Proceedings of the American Mathematical Society 2 Circuits, Systems, and Signal Processing 2 Acta Applicandae Mathematicae 2 Physica D 2 Statistical Science 2 MCSS. Mathematics of Control, Signals, and Systems 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Numerical Algorithms 2 European Journal of Operational Research 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Cybernetics and Systems Analysis 2 Journal of Computer and Systems Sciences International 2 Discrete and Continuous Dynamical Systems 2 Optimization Methods & Software 2 Mathematical and Computer Modelling of Dynamical Systems 2 Lobachevskii Journal of Mathematics 2 Journal of Systems Science and Complexity 2 Nonlinear Analysis. Hybrid Systems 2 Mathematical Modelling of Natural Phenomena 1 Archive for Rational Mechanics and Analysis 1 Biological Cybernetics 1 Fluid Dynamics 1 International Journal of Systems Science 1 Journal of Computational Physics 1 Journal of the Franklin Institute 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Aplikace Matematiky 1 Collectanea Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 International Journal for Numerical Methods in Engineering 1 Journal of Mathematical Economics ...and 67 more Serials all top 5 Cited in 33 Fields 241 Ordinary differential equations (34-XX) 113 Biology and other natural sciences (92-XX) 110 Systems theory; control (93-XX) 106 Partial differential equations (35-XX) 98 Numerical analysis (65-XX) 72 Operator theory (47-XX) 46 Integral equations (45-XX) 39 Calculus of variations and optimal control; optimization (49-XX) 29 Operations research, mathematical programming (90-XX) 23 Dynamical systems and ergodic theory (37-XX) 17 Probability theory and stochastic processes (60-XX) 16 Fluid mechanics (76-XX) 12 Statistics (62-XX) 12 Mechanics of deformable solids (74-XX) 10 Difference and functional equations (39-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Real functions (26-XX) 7 Approximations and expansions (41-XX) 6 Functional analysis (46-XX) 3 Commutative algebra (13-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Mechanics of particles and systems (70-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 History and biography (01-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year