Bereanu, Cristian
[UCL]
Mawhin, Jean
[UCL]
The existence, non-existence and multiplicity of solutions to periodic boundary value problems
(phi(u'))' + g(u) = e(t) + s, u(0) - u(T) = 0 = u'(0) - u'(T),
is discussed, where phi : (-a, a) -> R or phi : R -> (-a, a) is an increasing homeomorphism such that phi(0) = 0 and 0 < a <= infinity. The nonlinear term g is assumed to be bounded, positive and g(+/-infinity) = 0.
Bibliographic reference |
Bereanu, Cristian ; Mawhin, Jean. Multiple periodic solutions of ordinary differential equations with bounded nonlinearities and phi-Laplacian. In: No D E A - Nonlinear Differential Equations and Applications, Vol. 15, no. 1-2, p. 159-168 (2008) |
Permanent URL |
http://hdl.handle.net/2078.1/36647 |