Existence of positive solutions for third-order boundary value problems with integral boundary conditions on time scales

被引：0
作者：
Ilkay Y Karaca
Fatma Tokmak
机构：
[1] Ege University,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2013卷
关键词：
Green’s function; time scales; fixed point theorem; increasing homeomorphism and positive homomorphism; integral boundary conditions; positive solution;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, four functionals fixed point theorem is used to verify the existence of at least one positive solution for third-order boundary value problems with integral boundary conditions for an increasing homeomorphism and homomorphism on time scales. We also provide an example to demonstrate our results.
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[1]  
Agarwal RP(1999)Basic calculus on time scales and some of its applications Results Math 35 3-22
[2]  
Bohner M(2001)Nonlinear boundary value problems on time scales Nonlinear Anal 44 527-535
[3]  
Agarwal RP(2008)Higher-order three-point boundary value problem on time scales Comput. Math. Appl 56 2429-2443
[4]  
O’Regan D(2009)Multiple positive solutions of nonlinear third-order BVP for a class of Math. Comput. Model 49 527-535
[5]  
Anderson DR(2009)-Laplacian dynamic equations on time scales Nonlinear Anal 70 364-371
[6]  
Karaca IY(2011)Second-order boundary value problems with integral boundary conditions Commun. Nonlinear Sci. Numer. Simul 16 402-413
[7]  
Han W(2004)Existence and nonexistence of positive solutions for a class of third order BVP with integral boundary conditions in Banach spaces Appl. Math. Comput 148 249-262
[8]  
Kang S(2008)Multiple positive solutions for nonlinear Math. Comput. Model 48 1081-1089
[9]  
Boucherif A(undefined)-point boundary value problems undefined undefined undefined-undefined
[10]  
Zhao J(undefined)Four functionals fixed point theorem undefined undefined undefined-undefined
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