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Journal of Applied Mathematics and Computing

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08-01-2021 | Original Research

Oscillation criteria for solution of hyperbolic delay dynamic equations with time and spatial variables on arbitrary time scales

Authors: R. Ramesh, S. Harikrishnan, P. Prakash

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2021

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Abstract

Oscillatory behavior of a hyperbolic delay partial dynamic equation with time and spatial variables defined on arbitrary time scales is studied in this article. The Green’s identity on an arbitrary time scale is presented. Using that identity and Riccati transformation, several oscillation criteria for the concern dynamic equation with Neumann boundary condition is established. Examples are provided to illustrate our results.

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Title: Oscillation criteria for solution of hyperbolic delay dynamic equations with time and spatial variables on arbitrary time scales
Authors: R. Ramesh
S. Harikrishnan
P. Prakash
Publication date: 08-01-2021
Publisher: Springer Berlin Heidelberg
Published in: Journal of Applied Mathematics and Computing / Issue 1-2/2021
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-020-01478-6

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