Existence of solutions to fourth-order differential equations with deviating arguments

Boundary value problems

El Haffaf Amir¹  Ravi P Agarwal²  Mostepha Naceri³  Erbil etin⁴ 

[1] Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;Department of Mathematics, Texas A&Economics, Commercial and Management Sciences, Preparatory School of Oran, Bir El Djir, Algeria;M University-Kingsville, Kingsville, USA

关键词: fourth-order;    boundary value problem;    half-line;    upper solution;    lower solution;    34B15;    34B40;   

DOI  :  10.1186/s13661-015-0373-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider fourth-order differential equations on a half-line with deviating arguments of the formu(4)(t)+q(t)f(t,[u(t)],[u′(t)],[u″(t)],u‴(t))=0$u^{(4)}(t)+q(t)f(t,[u(t)],[u'(t)],[u''(t)],u'''(t))=0$,0

【 授权许可】

CC BY