Existence of solutions for a cantilever beam problem

被引：17

作者：

Anderson, Douglas R. ^{[1
]}

Hoffacker, Joan

机构：

[1] Concordia Coll, Dept Math, Moorhead, MN 56562 USA

[2] Clemson Univ, Dept Math Sci, Clemson, SC 29634 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 323卷 / 02期

关键词：

measure chains; boundary value problems; Green function; fixed points;

D O I：

10.1016/j.jmaa.2005.11.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with the fourth-order nonuniform cantilever beam problem (I(x)W-Delta del(x))(Delta del) = f (x, W(x)), W(a) = W-Delta '(a) = 0, I(b)W-Delta del(b) = (I(x)W-Delta del(x))(Delta)vertical bar(x=b) = 0. Under various assumptions on f we prove the existence of at least one, two, or three positive solutions for this measure chain boundary value problem using the Green function approach. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：958 / 973

页数：16

共 19 条

[1] Three positive solutions to a discrete focal boundary value problem
Anderson, D
Avery, R
Peterson, A
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 88 (01) : 103 - 118
[2] Multiple positive solutions for a three-point boundary value problem
Anderson, D
[J]. MATHEMATICAL AND COMPUTER MODELLING, 1998, 27 (06) : 49 - 57
[3] Anderson DR, 2003, DYN SYST APPL, V12, P9
[4] Solutions to second-order three-point problems on time scales
Anderson, DR
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2002, 8 (08) : 673 - 688
[5] [Anonymous], 1998, MSR HOT LINE
[6] [Anonymous], PANAMER MATH J
[7] On Green's functions and positive solutions for boundary value problems on time scales
Atici, FM
Guseinov, GS
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 141 (1-2) : 75 - 99
[8] Avery R. I., 1998, PANAMER MATH J, V8, P39
[9] AVERY R. I., 1998, Panam. Math. J., V8, P1
[10] Avery R.I., 2001, Comm. Appl. Nonlinear Anal, V8, P27

← 1 2 →