Computing the positive solutions of the discrete third-order three-point right focal boundary-value problems
نویسندگان
چکیده
we are concerned with the discrete right-focal boundary value problem A3z(t) = f(t, z(t + l)), z(ti) = Az(tz) = A2z(ts) = 0, and the eigenvalue problem A3z(t) = Xa(t)f(z(t + 1)) with the same boundary conditions, where tl < t2 < t3. Under various assumptions on f, a, and X, we prove the existence of positive solutions of both problems by applying a fixed-point theorem. @ 2003 Elsevier Science Ltd. All rights reserved. Keywords-Difference equations, Green’s function, Fixed points, Cone, Multiple solutions, Eigenvalues.
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ورودعنوان ژورنال:
- Int. J. Comput. Math.
دوره 91 شماره
صفحات -
تاریخ انتشار 2014