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Citation - WoS: 7
Citation - Scopus: 7
Positive Solutions of Nonlinear Multi-Point Boundary Value Problems
(Springer, 2018-05-17) Dogan, Abdulkadir
This paper deals with the existence of positive solutions of nonlinear differential equation subject to the boundary conditions By using Schauder's fixed point theorem, we show that it has at least one positive solution if f is nonnegative and continuous. Positive solutions of the above boundary value problem satisfy theHarnack inequality inf(0 <= t <= 1) u(t) >= gamma parallel to u parallel to(infinity.)
Existence of Positive Solutions to Multi-Point Third Order Problems With Sign Changing Nonlinearities
(Univ Tartu Press, 2020-09-23) Dogan, Abdulkadir; Graef, John R.
In this paper, the authors examine the existence of positive solutions to a third-order boundary value problem having a sign changing nonlinearity. The proof makes use of fixed point index theory. An example is included to illustrate the applicability of the results.

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