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Using Mathematical formula to prove theory in physics

Dr. Tsung-Fang Wu, Ching-Yu- Chen and Yueh-Cheng Kuo, professors from the Department of Applied Mathematics collaborated and used mathematical formula to prove “Hysteresis” in the Elasticity of the 19th Century Physics. It could also explain biological Swarm Behavior.

The research results are included in “Journal of Differential Equations”, the top 5% of the top journal in the field of Differential equation. The research examines a class of Kirchhoff type equations that involve sign-changing weight functions. Using Nehari manifold and fibering map, the existence of multiple positive solutions is established.
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