Abstract
In this paper we study the forced oscillations of boundary value problems of a class of higher order functional partial differential equations. The principal tool is an everaging techniqe which enables one to establish oscillation in terms of related functional differential inequallities.
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D., Georgou and K., Kreith, Functional characteristic initial value problems, J. Math. Anal. Appl., 107, 2 (1985), 414–424.
D. P., Mishev, Oscillatory properties of the solutions of hyperbolic differential equations with “maximum”, Hiroshima Math. J., 16 (1986), 77–83.
D. P., Mishev and D. D., Bainov, Oscillation properties of the solutions of a class of hyperbolic equations of neutral type, Funkcial. Ekvac., 29, 2 (1986), 213–218.
N., Yoshida, Forced Oscillation of Solutions of parabolic equations. Bull. Austral. Math. Soc., 36 (1987), 289–294.
N., Yoshida, On the zeros of solutions of hyperbolic equations of neutral type. Diff. Integral Eqs., 3 (1990), 155–160.
D. P., Mishev and D. D., Bainov, Oscillation of the solutions of parabolic differential equations of neutral type, Appl. Math. Comput., 28 (1988), 97–111.
R. O., Žilina, Oscillation of linear retarded differential equation, Czech. Math. J., 34 (1984), 371–377.
Yu, Yuanhong and Cui, Baotong, On the forced oscillations of solutions of hyperbolic equations with deviating arguments, ACTA Math. Appl. SINICA, 17 (1994), 448–457.
Jin, Mingzhong, Oscillation theorems of higher order nonlinear delay differential equations, Appl. Math. and Mech., 9 (1994), 823–830.
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Mingzhong, J., Ying, D. & Chongxiao, L. Forced oscillations of boundary value problems of higher order functional partial differential equations. Appl Math Mech 17, 889–900 (1996). https://doi.org/10.1007/BF00127188
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DOI: https://doi.org/10.1007/BF00127188