Geodesic
Forced oscillation of certain hyperbolic equations with continuous distributed deviating arguments
Satoshi Tanaka1 ; Norio Yoshida2
1 Department of Electrical Engineering Hachinohe National College of Technology Hachinohe 039-1192, Japan
2 Department of Mathematics Faculty of Science Toyama University Toyama 930-8555, Japan
Annales Polonici Mathematici, Tome 85 (2005) no. 1, pp. 37-54 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Certain hyperbolic equations with continuous distributed deviating arguments are studied, and sufficient conditions are obtained for every solution of some boundary value problems to be oscillatory in a cylindrical domain. Our approach is to reduce the multi-dimensional oscillation problems to one-dimensional oscillation problems for functional differential inequalities by using some integral means of solutions.
DOI : 10.4064/ap85-1-4
Keywords: certain hyperbolic equations continuous distributed deviating arguments studied sufficient conditions obtained every solution boundary value problems oscillatory cylindrical domain approach reduce multi dimensional oscillation problems one dimensional oscillation problems functional differential inequalities using integral means solutions

Satoshi Tanaka 1 ; Norio Yoshida 2

1 Department of Electrical Engineering Hachinohe National College of Technology Hachinohe 039-1192, Japan
2 Department of Mathematics Faculty of Science Toyama University Toyama 930-8555, Japan 
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Satoshi Tanaka; Norio Yoshida. Forced oscillation of certain hyperbolic equations
 with continuous distributed deviating arguments. Annales Polonici Mathematici, Tome 85 (2005) no. 1, pp. 37-54. doi: 10.4064/ap85-1-4

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