Oscillation criteria for boundary value problems of high-order partial functional differential equations

Authors:
Peiguang Wang;Yonghong Wu;Lou Caccetta
Affiliations:
College of Electronic and Information Engineering, Hebei University, Baoding 071002, PR China;Department of Mathematics and Statistics, Curtin University of Technology, Perth WA6845, Australia;Western Australian Centre of Excellence in Industrial Optimization, Curtin University of Technology, Perth WA6845, Australia
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

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Abstract

In this paper, a class of boundary value problems associated with high-order partial functional differential equations with distributed deviating arguments is investigated. Some oscillation criteria of solutions to the problem are developed. Our approach is to reduce the multi-dimensional oscillation problem to a one-dimensional oscillation one by employing some integral means of solutions and introducing some parameter functions. One illustrative example is considered.