| Citation: | Ma Ru-yun. Some Multiplicity Results for an Elastic Beam Equation at Resonance[J]. Applied Mathematics and Mechanics, 1993, 14(2): 181-188. | 
	                | [1] | 
					 Reiss,E.L.,A.J.Callegari and D.S.Ahluwalia,Ordinary Differential Equations with Applicalions,Holt,Rinehart&Winston,New York(1976). 
					
					 | 
			
| [2] | 
					 Usmini,R.A.,A uniqueness theorems for a boundary value problem,Proc.Amer.Math.Soc.,77,3(1979),329-335. 
					
					 | 
			
| [3] | 
					 Aftabizadeh,A.R.,Existence and uniqueness theorems for fourth-order boundary value problems,J.Math.Anal.Appl.,116(1986),415-426. 
					
					 | 
			
| [4] | 
					 Yang Yi-song,Fourth-order two-point boundary value problems,Proc.Amer.Math.Soc.,104,1(1988),175-180. 
					
					 | 
			
| [5] | 
					 Gupta,C.P.,Existence and uniqueness theorems for the bending of an elastic beam equation,Applicable Analysis,26(1988),289-305. 
					
					 | 
			
| [6] | 
					 Gupta,C.P.,Existence and uniqueness results for the bending of an elastic beam equation at resonance,J.Math.Anal.Appl.,135(1988),208-225. 
					
					 | 
			
| [7] | 
					 Costa,D.G.and J.V.A.Goncalves,Existence and multiplicity results for a class of nonlinear elliptic boundary value problems at resonance,J.Math.Anal.Appl.,84,2(1981),328-337. 
					
					 | 
			
| [8] | 
					 Browder,F.,Problémes Non-Linéaires,Les Presses de I'Universitéde Montreal,Montreal(1986). 
					
					 | 
			
| [9] | 
					 曹之江,《常微分算子》,上海科学技术出版社(1987). 
					
					 | 
			
| [10] | 
					 Mawhin,J.,J.R.Ward and M.Willem,Necessary and sufficient conditions of a nonlinear two-point boundary value problems,Proc.Amer.Math.Soc.,93(1985),667-674. 
					
					 | 
			
| [11] | 
					 张石生,《不动点定理及应用》,重庆出版社(1984). 
					
					 | 
			
| [12] | 
					 林宗池、林苏榕,一类向量四阶非线性微分方程边值问题的奇摄动,应用数学和力学,9(5)(1988),385-396. 
					
					 |