International Journal of Nonlinear Analysis and Applications

Multiple solutions for a class of second order differential equations with nonlinear derivative dependence

Articles in Press

Document Type : Research Paper

Authors

1 Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran

2 Department of Mathematics, Faculty of sciences, Razi University, 67149 Kermanshah, Iran

Abstract

In this paper, using variational methods and critical point theory, we prove the existence of multiple solutions for a class of second order differential equations with nonlinear derivative dependence involving a positive parameter. Some recent results are extended and improved. Some examples are presented to demonstrate the application of our main results.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 07 December 2025
  • Receive Date: 30 October 2024
  • Revise Date: 14 November 2024
  • Accept Date: 06 December 2024