Forced Oscillations of Boundary Value Problems of Higher Order Functional Partial Differential Equations

Jin Mingzhong; Dong Ying; Li Chongxiao

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1996 > 17(9): 837-847

Jin Mingzhong, Dong Ying, Li Chongxiao. Forced Oscillations of Boundary Value Problems of Higher Order Functional Partial Differential Equations[J]. Applied Mathematics and Mechanics, 1996, 17(9): 837-847.

Citation:

PDF( 638 KB)

Forced Oscillations of Boundary Value Problems of Higher Order Functional Partial Differential Equations

1.
Wuhan Automotive Polytechnic University, Wuhan 430070, P. R. China;
2.
Yunnan Polytechnic University, Kunming 850051, P. R. China

Received Date: 1995-06-05
Publish Date: 1996-09-15

Abstract

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.
- higher order functional partial differential equation,
- boundary value problems,
- forced oscillation

FullText(HTML)

References(9)

References

[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.