A. Books
[A1] P. Krejci: Hysteresis, Convexity and Dissipation in Hyperbolic Equations. Gakuto Int. Series Math. Sci. & Appl., Vol. 8, Gakkotosho, Tokyo 1996.
[A2] P. Drabek, P. Krejci, P. Takac: Nonlinear differential
equations. Research Notes in Mathematics, Vol. 404, Chapman & Hall/CRC,
London, 1999 (cf. [C14] below).
B. Research papers
[B1] P. Krejci: On solvability of equations of the 4th order with jumping nonlinearities. Cas. Pest. Mat. 108 (1983), 29--39.
[B2] P. Krejci: Hard implicit function theorem and small periodic solutions to partial differential equations. Comment. Math. Univ. Carolinae 25,3 (1984), 519--536.
[B3] P. Krejci: Periodic solutions of a class of abstract nonlinear equations of the second order. Cas. Pest. Mat. 110 (1985), 122--129.
[B4] P. Krejci: Periodic solutions to Maxwell equations in nonlinear media. Czechoslovak Math. J. 36 (111) (1986), 238--258.
[B5] P. Krejci: Hysteresis and periodic solutions of semilinear and quasilinear wave equations. Math. Z. 193 (1986), 247--264.
[B6] P. Krejci: Periodic solutions to a parabolic equation with hysteresis. Math. Z. 194 (1987), 61--70.
[B7] P. Krejci: On Ishlinskii's model for non-perfectly elastic bodies. Apl. Mat. 33 (1988), 133--144.
[B8] P. Krejci: Forced periodic vibrations of an elastic system with elastico-plastic damping. Apl. Mat. 33 (1988), 145--153.
[B9] P. Krejci: A monotonicity method for solving hyperbolic problems with hysteresis. Apl. Mat. 33 (1988), 197--203.
[B10] P. Krejci: On Maxwell equations with the Preisach hysteresis operator: the one-dimensional time-periodic case. Apl. Mat. 34 (1989), 364--374.
[B11] P. Krejci: Hysteresis operators - a new approach to evolution differential inequalities. Comment. Math. Univ. Carolinae 33,3 (1989), 525--536
[B12] P. Krejci, V. Lovicar: Continuity of hysteresis operators in Sobolev spaces. Apl. Mat. 35 (1990), 60--66.
[B13] P. Krejci, O. Vejvoda: A note to a bifurcation result of H. Kielhofer for the wave equation. Math. Bohem. 116 (1991), 245--247.
[B14] P. Krejci: Hysteresis memory preserving operators. Appl. Math. 36 (1991), 305--326.
[B15] P. Krejci: Vector hysteresis models. Euro. Jnl. Appl. Math. 2 (1991), 281--292.
[B16] P. Krejci: Global behaviour of solutions to the wave equation with hysteresis. Adv. Math. Sci. Appl. 2 (1993), 1--23.
[B17] P. Krejci: Modelling of singularities in elastoplastic materials with fatigue. Appl. Math. 39 (1994), 137--160.
[B18] M. Brokate, K. Dressler, P. Krejci: On the Mroz model. Euro. Jnl. Appl. Math. 7 (1996), 473--497.
[B19] M. Brokate, K. Dressler, P. Krejci: Rainflow counting and energy dissipation for hysteresis models in elastoplasticity. Euro. J. Mech. A/Solids 15 (1996), 705--735.
[B20] P. Krejci, I. Straskraba: A uniqueness criterion for the Riemann problem. Hiroshima Math. J. 27 (1997), 307--346.
[B21] P. Krejci , J. Sprekels: On a system of nonlinear PDE's with temperature-dependent hysteresis in one-dimensional thermoplasticity. J. Math. Anal. Appl. 209 (1997), 25--46.
[B22] M. Brokate, P. Krejci: Maximum norm wellposedness of nonlinear kinematic hardening models. Cont. Mech. & Ther. 9 (1997), 365--380.
[B23] M. Brokate, P. Krejci: Wellposedness of kinematic hardening models in elastoplasticity. Math. Model. Num. Anal. (M2AN) 32 (1998), 177--209.
[B24] P. Krejci, J. Sprekels: Global solutions to a coupled parabolic-hyperbolic system with hysteresis in 1-D magnetoelasticity. Nonlin. Anal. 33 (1998), 341--358.
[B25] P. Krejci, J. Sprekels: Temperature-dependent hysteresis in one-dimensional thermovisco-elastoplasticity. Appl. Math. 43 (1998), 173--205.
[B26] P. Krejci, J. Sprekels: Hysteresis operators in phase-field models of Penrose-Fife type. Appl. Math. 43 (1998), 207--222.
[B27] M. Brokate, P. Krejci, D. Rachinskii: Some analytical properties of the multidimensional continuous Mroz model of plasticity. Control & Cybernetics 27 (1998), 199--215.
[B28] P. Krejci, J. Sprekels: A hysteresis approach to phase-field models. Nonlin. Anal. 39 (2000), 569--586.
[B29] P. Krejci, J. Sprekels: Phase-field models with hysteresis. J. Math. Anal. Appl. 252 (2000), 198--219.
[B30] P. Krejci: A remark on the local Lipschitz continuity of vector hysteresis operators. Appl. Math. 46 (2001), 1--11.
[B31] G. Gilardi, P. Krejci, J. Sprekels: Hysteresis in phase-field models with memory. Math. Methods Appl. Sci. 23 (2000), 909--922.
[B32] P. Krejci: Resonance in Preisach systems. Appl. Math. 45 (2000), 439--468.
[B33] J. Francu, P. Krejci: Homogenization of scalar wave equations with hysteresis. Cont. Mech. & Ther. 11 (1999), 371--391.
[B34] P. Krejci, J. Sprekels, S. Zheng: Asymptotic behaviour for a phase-field system with hysteresis. J. Differential Equations 175 (2001), 88--107.
[B35] P. Krejci, A.A. Vladimirov: Lipschitz continuity of polyhedral Skorokhod maps. Z. Anal. Anw. 20 (2001), 817--844.
[B36] P. Krejci , K. Kuhnen: Inverse control of systems with hysteresis and creep. IEE Proc.--Control Theory Appl. 148 (2001), 185--192.
[B37] P. Krejci, Ph. Laurencot: Hysteresis filtering in the space of bounded measurable functions. Boll. Unione Mat. Ital. 5-B (2002), 755--772.
[B38] P. Krejci, J. Kurzweil: A nonexistence result for the Kurzweil integral. Math. Bohem. 127 (2002), 571--580.
[B39] P. Krejci, Ph. Laurencot: Generalized variational inequalities. J. Convex Anal. 9 (2002), 159--183.
[B40] P. Krejci, J. Sprekels: Phase-field systems for multi-dimensional Prandtl-Ishlinskii operators with non-polyhedral characteristics. Math. Meth. Appl. Sci. 25 (2002), 309--325.
[B41] P. Krejci, J. Sprekels, U. Stefanelli: Phase-field models with hysteresis in one-dimensional thermo-visco-plasticity SIAM J. Math. Anal. 34 (2002), 409--434.
[B42] P. Krejci: Reliable solutions to the problem of periodic oscillations of an elastoplastic beam. Int. J. Nonlinear Mechanics 37 (2002), 1337--1349.
[B43] P. Krejci , A.A. Vladimirov: Polyhedral
sweeping processes with oblique reflection in the
space
of regulated functions. Set-Valued Analysis
11
(2003), 91--110.
[B44] P. Krejci , J. Sprekels: Singular
limit in parabolic differential inclusions and the stop
operator.
Interfaces and Free Boundaries 4 (2002), 423--435.
[B45] P. Krejci, J. Sprekels, U. Stefanelli: One-dimensional
thermo-visco-plastic processes
with
hysteresis and phase transitions (preprint).
[B46] P. Krejci , K. Kuhnen: Error
estimates for the discrete inversion of hysteresis and creep operators.
Int. J. Math. Comput. Simul. 61 (2003), 537--548.
[B47] P. Krejci: The Kurzweil integral with exclusion of negligible sets. Math. Bohem. (accepted)
[B48] O. Klein, P. Krejci: Outwards
pointing hysteresis operators and asymptotic behaviour of evolution
equations.
Nonlinear Anal. (accepted).
[B49] M. Brokate, P. Krejci, H. Schnabel: On
uniqueness in evolution quasivariational inequalities
(preprint).
[B50] M. Brokate, P. Krejci: Duality
in the space of regulated functions and the play operator
(preprint).
C. Conference and survey papers
[C1] P. Krejci: Periodic solutions of partial differential equations with hysteresis. Proceedings EQUADIFF 6 (J.Vosmansky, M. Zlamal eds.), Brno 1985, 221--226.
[C2] P. Krejci: Methods of solving equations with hysteresis (Czech). Proceedings of the Summer School "Function spaces and equations of mathematical physics", Lipovce 1987, 7--60.
[C3] P. Krejci: Periodic oscillations of an elastoplastic rod (Russian). In: Functional and numerical methods of mathematical physics. Naukova Dumka, Kiev, 1988, 117--120.
[C4] P. Krejci: Asymptotic stability of periodic solutions to the wave equation with hysteresis. In: Models of Hysteresis (A. Visintin ed.), Longman, Harlow 1993, 77--90.
[C5] V. Lovicar, I. Straskraba, P. Krejci: Hysteresis in singular perturbation problems with nonuniqueness in limit equation. In: Models of Hysteresis (A.Visintin ed.), Longman, Harlow 1993, 91--101.
[C6] P. Krejci: Hysteretic models of plasticity. Stability and Applied Analysis in Continuous Media (SAACM) 3(1993) (Proceedings of EQUAM, Varenna'92), 99--109.
[C7] P. Krejci: A differential model of fatigue in elastoplastic materials. Proceedings of the First World Congress of Nonlinear Analysts, Tampa'92, W. de Gruyter, Berlin - New York, 1996, 807--817.
[C8] M. Brokate, K. Dressler, P. Krejci: The Mroz model: a hysteresis operator for rate independent plasticity. Proceedings of the First World Congress of Nonlinear Analysts, Tampa'92, W. de Gruyter, Berlin - New York, 1996, 797--806.
[C9] P. Krejci, J.Sprekels: A thermodynamic theory
of hysteresis operators in one-dimensional thermoplasticity. In: Facetten
der Thermodynamik (The Ingo Müller Anniversary Volume), TU Berlin, 1997,
189--199.
[C10] M. Brokate, P. Krejci: On the wellposedness of the Chaboche model. In: Control and Estimation of Distributed Parameter Systems (W. Desch, F. Kappel, K. Kunisch eds.). Proceedings of the conference held in Vorau (Austria), July 14--20, 1996. Int. Series Num. Math., Vol. 126, Birkhäuser, Basel 1998, 67--79.
[C11] P. Krejci, J.Sprekels: Weak stabilization of solutions to PDEs with hysteresis in thermovisco-elasto-plasticity. EQUADIFF 9 - Proceedings (R.P. Agarwal, F. Neuman, J. Vosmansky eds.), Masaryk Univ., Brno 1998, 81--96.
[C12] P. Krejci, J.Sprekels: Strong solutions to equations of visco-thermo-plasticity with a temperature-dependent hysteretic strain-stress law. Variations of domain and free-boundary problems in solid mechanics (Paris, 1997), Solid Mech. Appl. 66, Kluwer Acad. Publ., Dordrecht, 1999, 237--244.
[C13] P. Krejci, J.Sprekels: Hysteresis operators in phase-field models. In: Topics in Nonlinear Analysis (The Herbert Amann Anniversary Volume). Birkhäuser, Basel 1999, 499--515.
[C14] P. Krejci: Evolution variational inequalities and multidimensional hysteresis operators. In: [A2], pp. 47--110.
[C15] P. Krejci: Forced oscillations in Preisach systems. Physica B 275 (2000), 81--86.
[C16] P. Krejci , J. Sprekels, S. Zheng: Existence and asymptotic behaviour in phase-field models with hysteresis. In: Proceedings of the symposium organized by the Sonderforschungsbereich 438 on the occasion of Karl-Heinz Hoffmann's 60th birthday (H.J. Bungartz, R. H. W. Hoppe, Ch. Zenger, eds.). Lectures on Applied Mathematics, Springer, Berlin, 2000, 77--88.
[C17] J. Francu, P. Krejci: Homogenization of scalar wave equation with hysteresis operator. In: EQUADIFF 99 -- Proceedings of the International Conference on Differential Equations (B. Fiedler, K. Gröger, J. Sprekels, eds.). World Scientific, Singapore, 2000, 363--368.
[C18] P. Krejci , J. Sprekels: A thermodynamically consistent hysteresis model of thermovisco-elastoplasticity. Anniversary Volume for Krzysztof Wilmañski, Report No. 18, WIAS Berlin, 2000, 138--145.
[C19] P. Krejci , J. Sprekels: Phase-field systems and vector hysteresis operators. In: Free boundary problems: Theory and Applications II (N. Kenmochi ed.), Gakuto Int. Series Math. Sci. & Appl., Vol. 14, Gakkotosho, Tokyo 2000, 295--310.
[C20] P. Krejci: Well-posedness of the Preisach model with aftereffect. Proceedings of the Bexbach Colloquium on Science BCS 2000 (submitted).
[C21] P. Krejci , J. Sprekels: On a class of multidimensional Prandtl-Ishlinskii operators. Physica B 306 (2001), 185--190.
[C22] P. Krejci: Hysteresis in singularly perturbed problems. Proceedings of the workshop "Relaxation oscillations and hysteresis", Cork 2002 (submitted).
[C23] P. Krejci: Regulated
evolution quasivariational inequalities. Lectures held at
the University of Pavia, May 2003.
Last update June 11, 2003