Title of article
Existence and multiplicity of solutions for certain Dirichlet problems with nonlinearity depending on the derivative Original Research Article
Author/Authors
Naira Del Toro، نويسنده , , Francisco Roca، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
17
From page
827
To page
843
Abstract
We study existence and multiplicity of solutions for the problem
u″(t)+u(t)+g(u′(t))=f(t),
u(0)=u(π)=0,
where f∈C[0,π] and View the MathML source has finite limits View the MathML source. The main tools used are the Lyapunov–Schmidt reduction principle and certain asymptotic methods.
Keywords
nonlinear boundary value problems , existence of solutions , Bounded nonlinearities , Dirichlet conditions
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2003
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
858491
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