Nonlinearities in a second order ODE
In this paper we study the semilinear second order ordinary differential equation $$u''+r(t)u' + g(t,u) = f(t),. $$ Under a growth condition on $g$, we prove the existence and uniqueness for the Dirichlet problem and establish conditions for the existence of periodic solutions.
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| Format: | Article |
| Language: | English |
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Texas State University
2001-01-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/conf-proc/06/a2/abstr.html |