高阶泛函偏微分程边值问题的强迫振动*
Forced Oscillations of Boundary Value Problems of Higher Order Functional Partial Differential Equations
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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 inequalities.
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[1] D.Georgou and K.Kreith.Functional characteristic initial value problems.J.Math.Anal.Appl.107,(1985).114-424. [2] D.P.Mishev,Oscillatory properties of the solutions of hyperbolic differential equations with "maximum",Hiroshima Math.J.,16(1986),77-83. [3] 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. [4] N.Yoshida.Forced Oscillation of Solutions of parabolic equations.Bull.Austral,Math.Soc.36(1987).289-294. [5] N.Yoshida,On the zeros of solutions of hyperbolic equations of neutral type.Diff Integral Eqs.,3(1990).155-160. [6] 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. [7] R.O.Žilina.Oscillation of linear retarded differential equation,Czech.Math.J.,34(1984),371-377. [8] 俞元洪、崔宝同,关于具有偏差变元的双曲方程解的强迫振动性,应用数学学报,17(3)(1994),448-458 [9] 靳明忠,高阶非线性时滞微分方程的振动定理,应用数学和力学,15(9)(1994),823-830.
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