Araştırma Makalesi

Existence of Positive Solutions for Higher Order Three-Point Boundary Value Problems on Time Scales

Cilt: 3 Sayı: 1 30 Nisan 2018
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Existence of Positive Solutions for Higher Order Three-Point Boundary Value Problems on Time Scales

Öz

In this paper, by using the four functionals fixed point theorem, Avery-Henderson fixed point theorem and the five functionals fixed point theorem, respectively, we investigate the conditions for the existence of at least one, two and three positive solutions to nonlinear higher order three-point boundary value problems on time scales.

Anahtar Kelimeler

Kaynakça

  1. [1] Hilger, S., “Analysis on measure chains-A unified approach to continuous and discrete calculus”, Results Math., 18 (1990): 18-56.
  2. [2] Bohner, M. and Peterson, A., Dynamic Equations on Time Scales: An Introduction with Applications, Birkhauser, Boston, 2001.
  3. [3] Bohner, M. and Peterson, A. (editors), Advances in Dynamic Equations on Time Scales, Birkhauser, Boston, 2003.
  4. [4] Neuberger, J. W., “The lack of self-adjointness in three point boundary value problems”,Pacific J. Math., 18 (1966): 165-168.
  5. [5] Eloe, P. W. and McKelwey, J., “Positive solutions of three point boundary value problems”, Comm. Appl. Nonlinear Anal., 4 (1997): 45-54.
  6. [6] Agarwal, R. P., O'Regan, D. and Yan, B., “Positive solutions for singular three-point boundary value problems”, Electron. J. Differential Equations, 2008 (2008): 1-20.
  7. [7] Karaca, I. Y., “Discrete third-order three-point boundary value problem”, J. Comput. Appl. Math. 205 (2007): 458–468.
  8. [8] Karaca, I. Y., “Positive solutions of an n th order three-point boundary value problem”, Rocky Mountain J. Math., 43 (2013): 205-224.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

30 Nisan 2018

Gönderilme Tarihi

13 Mart 2018

Kabul Tarihi

28 Mart 2018

Yayımlandığı Sayı

Yıl 2018 Cilt: 3 Sayı: 1

Kaynak Göster

APA
Yaslan, İ. (2018). Existence of Positive Solutions for Higher Order Three-Point Boundary Value Problems on Time Scales. Journal of Engineering Technology and Applied Sciences, 3(1), 1-16. https://doi.org/10.30931/jetas.405158
AMA
1.Yaslan İ. Existence of Positive Solutions for Higher Order Three-Point Boundary Value Problems on Time Scales. Journal of Engineering Technology and Applied Sciences. 2018;3(1):1-16. doi:10.30931/jetas.405158
Chicago
Yaslan, İsmail. 2018. “Existence of Positive Solutions for Higher Order Three-Point Boundary Value Problems on Time Scales”. Journal of Engineering Technology and Applied Sciences 3 (1): 1-16. https://doi.org/10.30931/jetas.405158.
EndNote
Yaslan İ (01 Mayıs 2018) Existence of Positive Solutions for Higher Order Three-Point Boundary Value Problems on Time Scales. Journal of Engineering Technology and Applied Sciences 3 1 1–16.
IEEE
[1]İ. Yaslan, “Existence of Positive Solutions for Higher Order Three-Point Boundary Value Problems on Time Scales”, Journal of Engineering Technology and Applied Sciences, c. 3, sy 1, ss. 1–16, May. 2018, doi: 10.30931/jetas.405158.
ISNAD
Yaslan, İsmail. “Existence of Positive Solutions for Higher Order Three-Point Boundary Value Problems on Time Scales”. Journal of Engineering Technology and Applied Sciences 3/1 (01 Mayıs 2018): 1-16. https://doi.org/10.30931/jetas.405158.
JAMA
1.Yaslan İ. Existence of Positive Solutions for Higher Order Three-Point Boundary Value Problems on Time Scales. Journal of Engineering Technology and Applied Sciences. 2018;3:1–16.
MLA
Yaslan, İsmail. “Existence of Positive Solutions for Higher Order Three-Point Boundary Value Problems on Time Scales”. Journal of Engineering Technology and Applied Sciences, c. 3, sy 1, Mayıs 2018, ss. 1-16, doi:10.30931/jetas.405158.
Vancouver
1.İsmail Yaslan. Existence of Positive Solutions for Higher Order Three-Point Boundary Value Problems on Time Scales. Journal of Engineering Technology and Applied Sciences. 01 Mayıs 2018;3(1):1-16. doi:10.30931/jetas.405158

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