# Article

 Title: Boundary value problems with nonlinearities having infinite jumps (English) Author: Mawhin, Jean Language: English Journal: Commentationes Mathematicae Universitatis Carolinae ISSN: 0010-2628 (print) ISSN: 1213-7243 (online) Volume: 25 Issue: 3 Year: 1984 Pages: 401-414 . Category: math . MSC: 34B15 MSC: 47J25 idZBL: Zbl 0562.34010 idMR: MR775560 . Date available: 2008-06-05T21:18:54Z Last updated: 2012-04-28 Stable URL: http://hdl.handle.net/10338.dmlcz/106316 . Reference: [1] L. AGUINALDO K. SCHMITT: On the boundary value problem $u" + u = \alpha u^ - + p(t), u(0) = 0 = u(\pi)$.Proc. Amer. Math. Soc. 68 (1978), 64-68. MR 0466707 Reference: [2] A. CANADA P. MARTINEZ-AMORES: Periodic solutions of nonlinear vector ordinary differential equations of higher order at resonance.Nonlinear Anal. 7 (1983), 747-761. MR 0707083 Reference: [3] A. CANADA P. MARTINEZ, AMORES: Solvability of some operator equations and periodic solutions of nonlinear functional differential equations.J. Differential Equations 48 (1983), 415-429. MR 0715694 Reference: [4] A. CANADA P. MARTINEZ, AMORES: Periodic solutions of neutral functional differential equations.in "Equadiff 82", Knobloch and Schmitt ed., Lecture Notes in Math. n° 1017, Springer, Berlin, 1983, 115-121. MR 0726575 Reference: [5] A. CASTRO: A two point boundary value problem with jumping nonlinearities.Proc. Amer. Math. Soc. 79 (1980), 207-211. Zbl 0439.34021, MR 0565340 Reference: [6] S. FUČÍK: Boundary value problems with jumping nonlinearities.Časopis pěstov. mat. 101 (1976), 69-87. MR 0447688 Reference: [7] S. FUČÍK: Solvability of Nonlinear Equations and Boundary Value Problems.Reidel, Dordrecht, 1980. MR 0620638 Reference: [8] J. MAWHIN: Topological Degree Methods in Nonlinear Boundary Value Problems.Regional Confer. Series in Math. n° 40, Amer. Math. Soc., Providence, 1979. Zbl 0414.34025, MR 0525202 Reference: [9] J. R. WARD: Asymptotic conditions for periodic solutions of ordinary differential equations.Proc. Amer. Math. Soc. 81 (1981), 415-420. Zbl 0461.34029, MR 0597653 Reference: [10] J. R. WARD: Existence for a class of semilinear problems at resonance.J. Differential Equations 45 (1982), 156-167. Zbl 0515.34003, MR 0665993 .

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