On sign constant solutions of certain boundary value problems for second-order functional differential equations

• Published in: Applicable analysis Vol. 84; no. 2; pp. 197 - 209
• Main Authors: Lomtatidze, A., Vodstrčil §, P.
• Format: Journal Article
• Language: English
• Published: Taylor & Francis Group 01.02.2005
• Subjects: 2000 Mathematics Subject Classifications: 34K06; Nonlocal BVP; Nonnegative solution; Second-order linear functional differential equation; Two-point BVP

On the interval [a, b], we consider the boundary value problems u"(t) = l (u)(t) + q(t); u(a) = 0, u(b) = 0, u"(t) = l(u)(t) + q(t); u(a) = 0, u(b) = u(to), and u"(t) = l(u)(t) + q(t); u(a) = 0, u'(b) = 0, where l : C([a, b]; R) - > L([a, b]; R) and q E L([a, b]; R). The exist...