✦ LIBER ✦

Boundary value problems involving upper and lower solutions in reverse order

✍ Scribed by Weibing Wang; Xuxin Yang; Jianhua Shen

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 425 KB
Volume: 230
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2008.10.040

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✦ Synopsis

a b s t r a c t

In this paper, we discuss the existence of extreme solutions of the boundary value problem for a class of first-order functional equations with a nonlinear boundary condition. In the presence of a lower solution α and an upper solution β with β ≤ α, we establish existence results of extreme solutions by using the method of upper and lower solutions and a monotone iterative technique.

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