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The nonlinear second order differential equation$$\frac{d}{dt} h(t,x'(t))+g(t,x(t))=0, \quad t\in[0,T] \text{ a.e. } \quadx'(0)=x'(T)=0$$with superlinear function $g$ is investigated. Based on dual variational method theexistence of solution is proved. Dependence on parameters and approximationmethod are also presented.

Dependence on parameters for the Dirichlet problem with superlinear nonlinearities