Existence of multiple positive solutions to three-point boundary value problems on time scales

• Published in: International journal of difference equations Vol. 4; no. 2; p. 219
• Main Authors: Prasad, K.R, Murali, P, Rao, S. Nageswara
• Format: Journal Article
• Language: English
• Published: Research India Publications 01.12.2009
• Subjects: Boundary value problems; Difference equations; Existence theorems; Fixed point theory; India
• ISSN: 0973-6069; 0974-1828

We consider the three-point even order boundary value problem on time scales, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] where n ≥ 1, a < b < σ(c), σ(c) is right-dense and f: [a, σ(c)] x R → R is continuous. First, we establish the existence of at least three positive solutions by usi...