Oscillation criteria for a class of partial functional-differential equations of higher order-Reference-Cited by-同舟云学术

Oscillation criteria for a class of partial functional-differential equations of higher order

Published:2002-01-01 Issue:3 Volume:15 Page:255-267
ISSN:1048-9533
Container-title:Journal of Applied Mathematics and Stochastic Analysis
language:en
Short-container-title:Journal of Applied Mathematics and Stochastic Analysis

Author:

Kiguradze Tariel¹,Kusano Takasi²,Yoshida Norio³

Affiliation:

1. Tbilisi I. Javakhishvili State University, Faculty of Physics, 3 Chavchavadze Ave., Tbilisi 380028, Georgia

2. Fukuoka University, Department of Applied Mathematics, Faculty of Science, Fukuoka 814-0180, Japan

3. Toyama University, Department of Mathematics, Faculty of Science, Toyama 930-8555, Japan

Abstract

Higher order partial differential equations with functional arguments including hyperbolic equations and beam equations are studied. Sufficient conditions are derived for every solution of certain boundary value problems to be oscillatory in a cylindrical domain. Our approach is to reduce the multi-dimensional oscillation problem to a one-dimensional problem for higher order functional differential inequalities.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Modeling and Simulation,Statistics and Probability

Link

http://downloads.hindawi.com/archive/2002/757850.pdf

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1. Oscillation results for higher even order nonlinear partial functional differential equations of neutral type;Journal of Applied Mathematics and Computing;2009-12-18

2. On the Summability of Formal Solutions of Nonlinear Partial Differential Equations with Shrinkings;Journal of Dynamical and Control Systems;2006-12-23

3. Forced oscillations of solutions of systems of hyperbolic equations of neutral type;Applied Mathematics and Computation;2004-08