Special Session 47: 

Applications of generalized trigonometric functions to nonlocal boundary value problems

Shingo Takeuchi
Shibaura Institute of Technology
Japan
Co-Author(s):    
Abstract:
Generalized trigonometric functions (GTFs) are simple generalization of the classical trigonometric functions. GTFs are deeply related to the $p$-Laplacian, which is known as a typical nonlinear differential operator, and there are a lot of works on GTFs concerning the $p$-Laplacian. However, few applications to differential equations unrelated to the $p$-Laplacian are known. In this talk, we will apply GTFs with two parameters to nonlinear nonlocal boundary value problems without $p$-Laplacian.