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Successively Iterative Technique of a Classical Elastic Beam Equation with Carathéodory Nonlinearity

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Abstract

In this paper, we consider an elastic beam equation where the nonlinear term is a Carathéodory function and the boundary condition is nonhomogeneous. We construct an iterative sequence by the help of monotonic technique and prove that the sequence approximates successively to the solution of the equation under suitable assumptions.

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Authors and Affiliations

  1. Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, 210003, People’s Republic of China

    Qingliu Yao

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  1. Qingliu Yao
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Correspondence to Qingliu Yao.

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Yao, Q. Successively Iterative Technique of a Classical Elastic Beam Equation with Carathéodory Nonlinearity. Acta Appl Math 108, 385–394 (2009). https://doi.org/10.1007/s10440-008-9317-0

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  • DOI: https://doi.org/10.1007/s10440-008-9317-0

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