Existence of Solutions of Three-Point Boundary Value Problems for Nonlinear Fourth order Differential Equation

Gao Yongxin

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Gao Yongxin. Existence of Solutions of Three-Point Boundary Value Problems for Nonlinear Fourth order Differential Equation[J]. Applied Mathematics and Mechanics, 1996, 17(6): 543-550.

Citation:

Gao Yongxin. Existence of Solutions of Three-Point Boundary Value Problems for Nonlinear Fourth order Differential Equation[J]. Applied Mathematics and Mechanics, 1996, 17(6): 543-550.

Citation:

Gao Yongxin. Existence of Solutions of Three-Point Boundary Value Problems for Nonlinear Fourth order Differential Equation[J]. Applied Mathematics and Mechanics, 1996, 17(6): 543-550.

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Existence of Solutions of Three-Point Boundary Value Problems for Nonlinear Fourth order Differential Equation

Gao Yongxin

Department of Basic Science, Northeast Institute of Electric Power, Jilin 132012, P. R. China

Received Date: 1994-05-30
Rev Recd Date: 1995-12-04
Publish Date: 1996-06-15

Abstract

Abstract

In this paper.the author uses the methods in [1,2] to study the existence of solutions of three point boundary value problems for nonlinear fourth order differential equation.
- nonlinear fourth order differential equation,
- three-point boundary value problems,
- existence of solutions

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References(5)

References

[1]	G. A. Klasen, Differential inequalities and existence theorems for second and third order boundary value problems, J. Differential Equation. 10(1971),529-537.
[2]	Wang Zin zi, Existence of solutions of nonlinear two-point boundary value problems for third order nonlinear differential equations, Nonlinear differential equations, Northeast Math, J., 7, 2(1991), 181-189.
[3]	L. K. Jackson and K.Schrader, Subfunction and Third order differential inequalities, J. Differential Equation, 8(1970), 180-194.
[4]	P. Hartman, Ordinary Differential Equations, Wiley, New York(1964).
[5]	Zhao Weili, Existence of solutions of boundary value problems for third order nonlinear differential equations, Acta Scientiarum Naturalium Universitatis Jilinensis, 2(1984),10-19.