NON ORDERED LOWER AND UPPER SOLUTIONS TO FOURTH ORDER PROBLEMS WITH FUNCTIONAL BOUNDARY CONDITIONS

被引：0
|
作者：
Cabada, Alberto [1 ]
Fialho, Joao [2 ]
Minhos, Feliz [2 ]
机构：
[1] Univ Santiago de Compostela, Dept Anal Matemat, Fac Matemat, Santiago De Compostela 15782, Galicia, Spain
[2] Univ Evora CIMA UE, Ctr Invest Matemat & Aplicacoes, P-7000671 Evora, Portugal
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2011年 / 31卷
关键词：
Higher order problems; functional boundary value problems; Nagumo condition; lower and upper solutions;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, given f : I x (C(I))(2) x R-2 -> Ra L-1-Caratheodory function, it is considered the functional fourth order equation u((iu)) (x) = f(x,u,u',u '' (x),u'''(x)) together with the nonlinear functional boundary conditions L-0(u,u',u '',u(a))= 0 =L-1 (u,u',u '',u(a)) L-2 (u,u',u '',u ''(a),u'''(a))= 0 =L-3(u,u',u '',u ''(b),u'''(b)) Here L-i , i = 0,2,3, are continuous functions satisfying some adequate monotonicity assumptions. It will be proved an existence and location result in presence of non ordered lower and upper solutions and without monotone assumptions on the right hand side of the equation.
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页码：209 / 218
页数：10
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