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Multiple periodic solutions for a class of second order differential equations. (English) Zbl 1075.34020
Summary: By using the coincidence degree method, the existence of multiple periodic solutions for a class of second-order differential equations is obtained under the existence of upper and lower solutions.

34B15Nonlinear boundary value problems for ODE
34C25Periodic solutions of ODE
Full Text: DOI
[1] Bebernes, J. W.; Schmit, K.: Periodic boundary value problems for systems of second order differential equations. J. differential equations 13, 32-47 (1973) · Zbl 0253.34020
[2] Bernfeld, S. R.; Lakshmikantham, V.: An introduction to nonlinear boundary value problems. (1974) · Zbl 0286.34018
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[4] Henderson, J.; Thompson, H. B.: Existence of multiple solutions for second order boundary value problems. J. differential equations 166, 443-454 (2000) · Zbl 1013.34017
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[6] Leela, S.: Monotone method for second order periodic boundary value problems. Nonlinear anal. 7, 349-355 (1983) · Zbl 0524.34023
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[9] Mawhin, J.: Topological degree methods in nonlinear boundary value problems. CBMS, regional conf. Series in math. 40 (1979)