Citation: | HE Xiao ming, GE Wei gao. Existence of Multiple Positive Solutions for Higher-Order p-Laplacian Boundary Value Problems[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2002, 11(2): 212-216. |
[1] |
W ong P J Y.T r iple positive solutions of conjug ateboundary value problems[J]. Computers M ath A pplic,1998,36(9):19-35.
|
[2] |
Henderson J,T hompson H B.M ultiple symmetric positive solutions for a second order boundar y value problem[J]. P roc Amer M ath Soc,2000,128:2373-2379.
|
[3] |
L eggett R W,W illiams R L.M ultiple positive fix edpoints o f nonlinear oper ators on or dered Banach spaces[J]. Indiana U niversity M ath J,1979,28:673-688.
|
[4] |
Davis J M,Henderson J.T riple positive symmetr ic solutions and dependence on hig her derivativ es[J]. J M athAnal A ppl,1999,237:710-720.
|
[5] |
Anderson D,Avery R I,Peterson A C.T hree posit ivesolutions to a discrete focal boundar y value problem[J]. J Comput A ppl M ath,1998,88:103-118.
|
[6] |
Yang Z D.Ex istence of positive solutions for a class ofsingular two point boundary value problems o f secondorder nonlinear equations[J]. A pplied M athematica andM echanics,1996,17(5);445-454.
|
[7] |
Yao Q L,L H C.Positiv e solutions of one dimensionalsingular p Laplacian equations[J]. Acta M athematicsSinica,1998,14(6):1255-1264.
|
[8] |
Wang J Y.T he existence of positive solutions for theone dimensional p L aplacian[J]. Proc Amer M at h Soc,1997,125:2275-2283.
|
[9] |
Agarw al R P,Reg an D O,Wong P J Y.Positiv e solutions of differential,difference and integral equations[M]. Dordrecht:K luwer Academic,1999.
|
[10] |
Guo D,Lakshmikantham V.Nonlinear problems in abstract co nes[M]. San Dieg o,CA:Academic Press,1988.
|
[11] |
L ian W C,W ong F H,Yech C C.On the ex istence ofpositive solutio ns of nonlinear second order differentialequations[J]. Proc Amer M at h Soc,1996,124:1111-1126.
|
[12] |
L ian W C,Wong F H.Ex istence o f positive solutionsfor higher or der g eneralized p L aplacian BV Ps[J]. A pplM ath L ett,2000,13:35-43
|