Existence Theorems of Extremal Solutions for a Class of Nonlinear lntegro-Differential Equations

Song Guangxing

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1996 > 17(11): 1019-1024

Song Guangxing. Existence Theorems of Extremal Solutions for a Class of Nonlinear lntegro-Differential Equations[J]. Applied Mathematics and Mechanics, 1996, 17(11): 1019-1024.

Citation:

Song Guangxing. Existence Theorems of Extremal Solutions for a Class of Nonlinear lntegro-Differential Equations[J]. Applied Mathematics and Mechanics, 1996, 17(11): 1019-1024.

Citation:

Song Guangxing. Existence Theorems of Extremal Solutions for a Class of Nonlinear lntegro-Differential Equations[J]. Applied Mathematics and Mechanics, 1996, 17(11): 1019-1024.

PDF( 2367 KB)

Existence Theorems of Extremal Solutions for a Class of Nonlinear lntegro-Differential Equations

Song Guangxing

University of Petroleum, Dodgying, Shandong 258062, P. R. China

Received Date: 1995-05-04
Publish Date: 1996-11-15

Abstract

Abstract

In this paper, the following initial value problem for nonlinear integro-differential equationis is considered, where Using the method of upper and lower solutions and the monotone iterative technique.We obtain existence results of minimal and maximal solutions.
- integro-differential equation,
- monotone iterative technique,
- extremal solution

FullText(HTML)

References(5)

References

[1]	孙经先、刘立山,Banach空间中混合型微分-积分方程的单调迭代法,系统科学与数学,13(2)(1993), 160-166.
[2]	Sun Jingxian and Zhao Zengqin, Extremal solutions of initial Value problem for integro-differential equations of mixed type in Banach Spaces, Ann. of Diff: Eqs., 8, 4(1992),469-475.
[3]	S. K. Kaul and A. S. Vatsala, Monotone method for intearo-differential equation with periodic boundary conditions, Applicable Analysis, 21(1986), 297-305.
[4]	V. Lakshmikantham and S. Leela, Differential and Integral Inequalities Acad. Press (1969).
[5]	R. Kress, Linear Integral Equations, Springer-Verlag, Berlin Heidelberg(1989).