Yan-Hsiou Cheng, Wei-Chuan Wang
Abstract:
We consider a system of differential equations involving the
p-Laplacian. We prove the existence of oscillatory solutions
with prescribed numbers of zeros, and show that the solutions satisfy
the Dirichlet boundary conditions when the large parameters in the
equations are suitable chosen. Our main tool in this work is a
Prufer-type substitution.
Submitted January 18, 2017. Published March 28, 2017.
Math Subject Classifications: 34B15, 34A12.
Key Words: Quasilinear equation; p-Laplacian system; Prufer substitution.
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Yan-Hsiou Cheng Department of Mathematics and Information Education National Taipei University of Education Taipei 106, Taiwan email: yhcheng@tea.ntue.edu.tw |
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Wei-Chuan Wang Department of Civil Engineering and Engineering Management Center for General Education National Quemoy University Kinmen 892, Taiwan email: wangwc@nqu.edu.tw; wangwc72@gmail.com |
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