Monotone Techniques and Some Existence-Uniqueness Theorems for Two Point Boundary Value Problems

Song-Sun Lin*

*Corresponding author for this work

研究成果: Article同行評審

摘要

In this paper we study the existence and uniqueness of the two point boundary value problems −(p(x)u‘(x))’ = f(x, u(x), u‘(x)), x ∊ (0, 1), u’(0)−cu(0) = 0 = u’(1) + du(1), where ∂f/∂u is bounded above by the least eigenvalue of associated linear problems and ∂f/∂u’ is bounded. By using monotone techniques to investigate the equivalent problem -(p(x)u‘(x))’ + r(x)u(x) = f(x, u(x), u’(x)),+ r(x)u(x) where r∊C[0, 1] we show that.

原文American English
頁(從 - 到)265-275
頁數11
期刊Proceedings of the Royal Society of Edinburgh: Section A Mathematics
91
發行號3-4
DOIs
出版狀態Published - 1 一月 1982

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