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Infinitely Many Solutions for Impulsive Nonlocal Elastic Beam Equations

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In this paper, we study the existence of solutions for impulsive beam equations of Kirchhoff-type. By using critical point theory, we obtain some new criteria for guaranteeing that impulsive fourth-order… Click to show full abstract

In this paper, we study the existence of solutions for impulsive beam equations of Kirchhoff-type. By using critical point theory, we obtain some new criteria for guaranteeing that impulsive fourth-order differential equations of Kirchhoff-type have infinitely many solutions. Some recent results are extended and improved. An example is presented to demonstrate the application of our main results.

Keywords: beam equations; many solutions; infinitely many; impulsive nonlocal; solutions impulsive

Journal Title: Differential Equations and Dynamical Systems
Year Published: 2017

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