GENERAL SOLUTION OF MULTI-VALUED DISPLACEMENT PROBLEM OF AN ECCENTRIC CIRCULAR RING

Applied Mathematics and Mechanics (English Edition) ›› 1983, Vol. 4 ›› Issue (5): 743-750.

• Articles • Previous Articles Next Articles

GENERAL SOLUTION OF MULTI-VALUED DISPLACEMENT PROBLEM OF AN ECCENTRIC CIRCULAR RING

Tang Ren-ji, Zhen Ji-qing

Lanzhou University, Lanzhou, China

Received:1982-10-18 Online:1983-09-18 Published:1983-09-18

Abstract

Abstract: In this paper, by using N.I, Muskhelishvili’s method a multi-valued displacement problem is considered for an eccentric circular ring. The general expression of stress function is derived in the bipolar coordinate system and its application is explained.

Key words: accretive mapping, pseudo-contractive mapping, hemi-accretive mapping, hemi-pseudo-contractive mapping, Ishikawa iterative sequence, Mann iterative sequence, steepest descent sequence

Tang Ren-ji;Zhen Ji-qing. GENERAL SOLUTION OF MULTI-VALUED DISPLACEMENT PROBLEM OF AN ECCENTRIC CIRCULAR RING. Applied Mathematics and Mechanics (English Edition), 1983, 4(5): 743-750.

[1]	Xieping DING, SALAHUDDIN. A system of general nonlinear variational inclusions in Banach spaces [J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(12): 1663-1672.
[2]	ZHANG Shi-sheng. MULTI-VALUED QUASI VARIATIONAL INCLUSIONS IN BANACH SPACES [J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(6): 627-635.
[3]	ZENG Lu-chuan . INTERATIVE APPROXIMATION OF FIXED POINTS FOR ALMOST ASYMPTOTICALLY NONEXPANSIVE TYPE MAPPINGS IN BANACH SPACES [J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(12): 1421-1430.
[4]	ZENG Liu-chuan. ISHIKAWA ITERATIVE PROCESS FOR CONSTRUCTING SOLUTIONS OF m-ACCRETIVE OPERATOR EQUATIONS [J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(6): 686-693.
[5]	ZHANG Shi-sheng . SOME CONVERGENCE PROBLEM OF ITERATIVE SEQUENCES FOR ACCRETIVE AND PSEUDO-CONTRACTIVE TYPE MAPPING IN BANACH SPACE [J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(4): 394-408.
[6]	ZHANG Shi-sheng. EXISTENCE AND APPROXIMATION OF SOLUTIONS TO VARIATIONAL INCLUSIONS WITH ACCRETIVE MAPPINGS IN BANACH SPACES [J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(9): 997-1003.
[7]	LUO Yuan-song. ON THE PROBLEM OF DISSIPATIVE PERTURBATIONS OF NONEXPANSIVE MAPPINGS [J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(4): 478-482.
[8]	GU Feng . ITERATIVE PROCESS FOR CERTAIN NONLINEAR MAPPINGS WITH LIPSCHITZ CONDITION [J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(12): 1458-1467.
[9]	ZHANG Shi-sheng. ON THE ITERATIVE APPROXIMATION PROBLEM OF FIXED POINTS FOR ASYMPTOTICALLY NONEXPANSIVE TYPE MAPPINGS IN BANACH SPACES [J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(1): 25-34.
[10]	Zhang Shisheng . ON THE CONVERGENCE PROBLEMS OF ISHIKAWA AND MANN ITERATIVE PROCESSES WITH ERROR FOR Φ-PSEUDO CONTRACTIVE TYPE MAPPINGS [J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(1): 1-12.
[11]	Zhang Shisheng. ON THE MANN AND ISHIKAWA ITERATIVE APPROXIMATION OF SOLUTIONS TO VARIATIONAL INCLUSIONS WITH ACCRETIVE TYPE MAPPINGS IN BANACH SPACES [J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(6): 585-592.
[12]	Zhou Haiyun. ITERATIVE SOLUTION OF NONLINEAR EQUATIONS WITH STRONGLY ACCRETIVE OPERATORS IN BANACH SPACES [J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(3): 282-289.
[13]	Zhang Shisheng . MANN AND ISHIKAWA ITERATIVE APPROXIMATION OF SOLUTIONS FOR m-ACCRETIVE OPERATOR EQUATIONS [J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(12): 1310-1318.
[14]	Zhang Shisheng;Chen Yuqing . NONLINEAR SEMIGROUPS AND DIFFERENTIAL INCLUSIONS IN PROBABILISTIC NORMED SPACES [J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(9): 815-829.
[15]	Zhang Shi-sheng;Chen Yu-qing. ON THE EXISTENCE OF SOLUTIONS FOR EQUATIONS WITH ACCRETIVE MAPPINGS IN PROBABILISTIC NORMED SPACES [J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(9): 821-828.

GENERAL SOLUTION OF MULTI-VALUED DISPLACEMENT PROBLEM OF AN ECCENTRIC CIRCULAR RING

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments