FORCED OSCILLATION OF NONLINEAR IMPULSIVE PARABOLIC DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE

TitleFORCED OSCILLATION OF NONLINEAR IMPULSIVE PARABOLIC DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE
Publication TypeJournal Article
Year of Publication2005
AuthorsWang, P, Teo, KL, Liu, Y
Volume9
Issue3
Start Page343
Pagination10
Date Published2005
ISSN1083-2564
AMS35B05, 35R12
Abstract

Oscillation properties of the solutions of impulsive parabolic differential equations of neutral type are investigated via the method of impulsive differential inequalities. The oscillatory criteria of solutions subject to two kinds of boundary conditions are obtained.

URLhttp://www.acadsol.eu/en/articles/9/3/5.pdf
Refereed DesignationRefereed
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REFERENCES
[1] D. Bainov, E. Minchev, K. Nakagawa, Asymptotic behaviour of solutions of impulsive semilinear
parabolic equations, Nonlinear Analysis, 30 (1997), 2725-2734.
[2] D. Bainov, E. Minchev, Forced oscillations of solutions of impulsive nonlinear parabolic equations,
Comm. Appl. Nonlinear Anal., 5 (1998), no. 1, 107-116.
[3] L.Q. Zhang, Oscillation criteria for certain impulsive parabolic partial differential equations,
Academic Periodical Abstracts China, 5 (1999), 492-493.
[4] X.L. Fu, X.Z. Liu, S. Sivaloganathan, Oscillation criteria for impulsive parabolic differential
equations with delay, J. Math. Anal. Appl., 268 (2002), 647-664.
[5] D. Bainov, E. Minchev, Oscillation of solutions of impulsive nonlinear parabolic differentialdifference
equations, Internat. J. Theoret. Phys., 35 (1996), no. 1, 207-215.
[6] V.S. Vladimirov, Equations of Mathematical Physics, Nauka, Moscow, 1981.
[7] R. Pirapikaran, Impulsive integral inequalities of Gronwall-Bihari type, Diff. Equs. Appl. (Ed.
by R. Aftabizadeh), Ohio University Press, 2 (1989), 296-308.