Abstract

In this paper, we investigate the existence of multiple solutionsfor a second-order boundary value problems of Kirchhoff-typeequation involving a $p(x)$-Laplacian.

Highlights

  • Problems like (1.4) can be used for modeling several physical and biological systems and for describing the dynamics of an axially moving string ( [1])

  • Differential equations with variable exponents arise from the nonlinear elasticity theory and the theory electroheological fluids

  • Wang and Yuan in [25] have been studied the periodic solutions for a class of systems of equation coupled with non-standard p(x)-growth

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Summary

Introduction

Problems like (1.4) can be used for modeling several physical and biological systems and for describing the dynamics of an axially moving string ( [1]).

Results
Conclusion
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