#### A unique solution to a fourth-order three-point boundary value problem

Yıl: 2020 Cilt: 44 Sayı: 5 Sayfa Aralığı: 1941 - 1949 Metin Dili: İngilizce İndeks Tarihi: 30-06-2022

A unique solution to a fourth-order three-point boundary value problem

Öz:
In this study, it is aimed to examine the solutions of the following nonlocal boundary value problem y (4) + g(x, y) = 0, x ∈ [c, d], y(c) = y ′ (c) = y ′′(c) = 0, y(d) = λy(ξ). Here, ξ ∈ (c, d), λ ∈ R, g ∈ C([c, d] × R, R) and g(x, 0) ̸= 0. It is concentrated on applications of Green’s function that corresponds to the above problem to derive existence and uniqueness results for the solutions. One example is also given to demonstrate the results.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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 APA Erturk V (2020). A unique solution to a fourth-order three-point boundary value problem . , 1941 - 1949. 10.3906/mat-2007-79 Chicago Erturk Vedat Suat A unique solution to a fourth-order three-point boundary value problem . (2020): 1941 - 1949. 10.3906/mat-2007-79 MLA Erturk Vedat Suat A unique solution to a fourth-order three-point boundary value problem . , 2020, ss.1941 - 1949. 10.3906/mat-2007-79 AMA Erturk V A unique solution to a fourth-order three-point boundary value problem . . 2020; 1941 - 1949. 10.3906/mat-2007-79 Vancouver Erturk V A unique solution to a fourth-order three-point boundary value problem . . 2020; 1941 - 1949. 10.3906/mat-2007-79 IEEE Erturk V "A unique solution to a fourth-order three-point boundary value problem ." , ss.1941 - 1949, 2020. 10.3906/mat-2007-79 ISNAD Erturk, Vedat Suat. "A unique solution to a fourth-order three-point boundary value problem ". (2020), 1941-1949. https://doi.org/10.3906/mat-2007-79
 APA Erturk V (2020). A unique solution to a fourth-order three-point boundary value problem . Turkish Journal of Mathematics, 44(5), 1941 - 1949. 10.3906/mat-2007-79 Chicago Erturk Vedat Suat A unique solution to a fourth-order three-point boundary value problem . Turkish Journal of Mathematics 44, no.5 (2020): 1941 - 1949. 10.3906/mat-2007-79 MLA Erturk Vedat Suat A unique solution to a fourth-order three-point boundary value problem . Turkish Journal of Mathematics, vol.44, no.5, 2020, ss.1941 - 1949. 10.3906/mat-2007-79 AMA Erturk V A unique solution to a fourth-order three-point boundary value problem . Turkish Journal of Mathematics. 2020; 44(5): 1941 - 1949. 10.3906/mat-2007-79 Vancouver Erturk V A unique solution to a fourth-order three-point boundary value problem . Turkish Journal of Mathematics. 2020; 44(5): 1941 - 1949. 10.3906/mat-2007-79 IEEE Erturk V "A unique solution to a fourth-order three-point boundary value problem ." Turkish Journal of Mathematics, 44, ss.1941 - 1949, 2020. 10.3906/mat-2007-79 ISNAD Erturk, Vedat Suat. "A unique solution to a fourth-order three-point boundary value problem ". Turkish Journal of Mathematics 44/5 (2020), 1941-1949. https://doi.org/10.3906/mat-2007-79