Periodic and antiperiodic eigenvalues for half-linear version of Hill’s equation
نویسنده
چکیده
The nonlinear eigenvalue problem of the differential equation ( |x′|p−2 x′ )′ + (λ+ c(t)) |x|p−2 x = 0, p > 1, with respect to the periodic boundary conditions: x(0) = x(T ), x′(0) = x′(T ), or to the antiperiodic boundary conditions: x(0) = −x(T ), x′(0) = −x′(T ) are considered. Various results on the set of eigenvalues concerning both problems are presented. Some estimates are given for the periodic and antiperiodic eigenvalues. Key–Words: Hill’s equation, periodic solution, eigenvalues,
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