Positive Solutions for Systems of nth Order Three-point Nonlocal Boundary Value Problems

By J. Henderson, Sotiris K. Ntouyas. 2007

75 citations recorded by the source corpus.

Intervals of the parameterare determined for which there exist positive solutions for the system of nonlinear differential equations, u (n) + �a(t)f(v) = 0, v (n) +�b(t)g(u) = 0, for 0 < t < 1, and satisfying three-point nonlocal bound- ary conditions, u(0) = 0,u 0 (0) = 0,...,u (n 2) (0) = 0, u(1) = �u(�),v(0) = 0,v 0 (0) = 0,... ,v (n 2) (0) = 0, v(1) = �v(�). A Guo-Krasnosel'skii fixed point

Subfields: Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/5c0d58fd034b474fc8baad4ca544264ea71e4167

Citations in the corpus

• Positive solutions of boundary value problems for nth order ordinary differential equations (2008, unknown): “Since this pioneering works, a lot research has been done in this area [2, 3, 5, 7, 8, 9].”