Geodesic
Periodic solutions of nonlinear second-order differential equations with parameter
Mathematica Bohemica, Tome 117 (1992) no. 4, pp. 337-348

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MR Zbl
This paper establishes effective sufficient conditions for existence and uniqueness of periodic solutions of a one-parameter differential equation $u''-q(t)y=f(t,y,y',\mu)$ vanishing at an arbitrary but fixed point.
This paper establishes effective sufficient conditions for existence and uniqueness of periodic solutions of a one-parameter differential equation $u''-q(t)y=f(t,y,y',\mu)$ vanishing at an arbitrary but fixed point.
DOI : 10.21136/MB.1992.126060
Classification : 34B15, 34C25
Keywords: periodic solution; nonlinear second-order differential equation with a parameter; Schauder fixed point theorem 
Staněk, Svatoslav. Periodic solutions of nonlinear second-order differential equations with parameter. Mathematica Bohemica, Tome 117 (1992) no. 4, pp. 337-348. doi: 10.21136/MB.1992.126060
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[1] E. F. Beckenbach, R. Bellman: Inequalities. Moscow, 1965. (In Russian.) | MR | Zbl

[2] S. Staněk: Three-point boundary value problem of nonlinear second order differential equation with parameter. Czechoslovak Math. J. 42(117) (1992), 241-256. | MR

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