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A simple alternative problem for finding periodic solutions of second order ordinary differential systems. (English) Zbl 0286.34055

MSC:
34C25 Periodic solutions to ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
47J05 Equations involving nonlinear operators (general)
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[1] J. W. Bebernes and K. Schmitt, Periodic boundary value problems for systems of second order differential equations, J. Differential Equations 13 (1973), 32 – 47. · Zbl 0253.34020
[2] G. B. Gustafson and Klaus Schmitt, Periodic solutions of hereditary differential systems, J. Differential Equations 13 (1973), 567 – 587. · Zbl 0254.34070
[3] Philip Hartman, Ordinary differential equations, John Wiley & Sons, Inc., New York-London-Sydney, 1964. · Zbl 0123.21502
[4] H.-W. Knobloch, On the existence of periodic solutions for second order vector differential equations, J. Differential Equations 9 (1971), 67 – 85. · Zbl 0211.11801
[5] J. Mawhin, Boundary value problems for nonlinear second order vector differential equations, Institut de Mathématique Pure et Appliquée, Université Catholique de Louvain, Heverlé, 1972. Séminaires de Mathématique Appliquée et Mécanique, Rapport No. 47. · Zbl 0301.34019
[6] Klaus Schmitt, Periodic solutions of systems of second-order differential equations, J. Differential Equations 11 (1972), 180 – 192. · Zbl 0228.34023
[7] J. T. Schwartz, Nonlinear functional analysis, Gordon and Breach Science Publishers, New York-London-Paris, 1969. Notes by H. Fattorini, R. Nirenberg and H. Porta, with an additional chapter by Hermann Karcher; Notes on Mathematics and its Applications. · Zbl 0203.14501
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