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.
|Original language||American English|
|Number of pages||11|
|Journal||Proceedings of the Royal Society of Edinburgh: Section A Mathematics|
|State||Published - 1 Jan 1982|