Dependence on parameters for the Dirichlet problem with superlinear nonlinearities

Andrzej Nowakowski, Andrzej Rogowski

DOI: http://dx.doi.org/10.12775/TMNA.2000.035

Abstract


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

Keywords


Superlinear Dirichlet problem; duality; variational method; dependence on parameters

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