TY - JOUR

T1 - Monotone Techniques and Some Existence-Uniqueness Theorems for Two Point Boundary Value Problems

AU - Lin, Song-Sun

PY - 1982/1/1

Y1 - 1982/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84975954336&partnerID=8YFLogxK

U2 - 10.1017/S0308210500017492

DO - 10.1017/S0308210500017492

M3 - Article

AN - SCOPUS:84975954336

VL - 91

SP - 265

EP - 275

JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

SN - 0308-2105

IS - 3-4

ER -