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Existence of Solutions of Boundary Value Problem for Nonlinear One-Dimensional Wave Equations by Fixed Point Method

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  • Daba Meshesha Gusu
  • Megersa Danu
  • Abdullahi Yusuf

Abstract

In this article, we investigate the solutions for a class of initial boundary value problems for nonlinear one-dimensional wave equations using a fixed point method. The findings consider initial and boundary data which lead to determining the nature of classes of the nonlinear one-dimensional wave equation. The obtained results indicate the availability of nonnegative solutions which are proved using the method of the fixed point. A new fixed point approach is effective and used as a definitive modeling method to prove the existence of nonnegative solutions for a class of initial boundary value problems based on recent theoretical arguments. The results in this study are considered with examples.

Suggested Citation

  • Daba Meshesha Gusu & Megersa Danu & Abdullahi Yusuf, 2022. "Existence of Solutions of Boundary Value Problem for Nonlinear One-Dimensional Wave Equations by Fixed Point Method," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-12, August.
  • Handle: RePEc:hin:jnlmpe:5099060
    DOI: 10.1155/2022/5099060
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