Dependence on parameters for the Dirichlet problem with superlinear nonlinearities | Zendy

Andrzej F. Nowakowski | Zendy; Andrzej Rogowski | Zendy

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Dependence on parameters for the Dirichlet problem with superlinear nonlinearities

Author(s) -

Andrzej F. Nowakowski,

Andrzej Rogowski

Publication year - 2000

Publication title -

topological methods in nonlinear analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.623

H-Index - 23

ISSN - 1230-3429

DOI - 10.12775/tmna.2000.035

Subject(s) - mathematics , order (exchange) , mathematical analysis , nonlinear system , dirichlet problem , function (biology) , differential equation , combinatorics , dirichlet distribution , mathematical physics , boundary value problem , physics , quantum mechanics , finance , evolutionary biology , economics , biology

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.

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