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- Title
EXISTENCE OF SOLUTIONS TO NONLINEAR PROBLEMS WITH THREE-POINT BOUNDARY CONDITIONS.
- Authors
SANTOS, DIONICIO PASTOR DALLOS
- Abstract
Using Leray-Schauder degree theory and the method of upper and lower solutions, we obtain a solution for nonlinear boundary-value problem φ (u;))' = f(t, u, u') l(u, u') = 0, where l(u, u') = 0 denotes the three-point boundary conditions on [0, T], and φ is a homeomorphism such that φ (0) = 0.
- Subjects
BOUNDARY value problems; DIFFERENTIAL equations; NONLINEAR boundary value problems; HOMEOMORPHISMS; MORPHISMS (Mathematics)
- Publication
Electronic Journal of Differential Equations, 2017, Vol 2017, Issue 1-54, p1
- ISSN
1550-6150
- Publication type
Article