New upper estimate for positive solutions to a second order boundary value problem with a parameter
-
Liancheng Wang
lwang5@kennesaw.edu
-
Bo Yang
byang@kennesaw.edu
Downloads
DOI:
https://doi.org/10.56754/0719-0646.2501.121Abstract
We consider a second order boundary value problem with a parameter. A new upper bound for positive solutions and Green’s function of the problem is obtained.
Keywords
Mathematics Subject Classification:
Z. Bai, “Positive solutions of some nonlocal fourth-order boundary value problem”, Appl. Math. Comput., vol. 215, no. 12, pp. 4191–4197, 2010.
G. Chai, “Existence of positive solutions for second-order boundary value problem with one parameter”, J. Math. Anal. Appl., vol. 330, no. 1, pp. 541–549, 2007.
Y. Cui, “Multiple solutions to fourth-order boundary value problems”, Comput. Math. Appl., vol. 57, no. 4, pp. 643–649, 2009.
X. Dong and Z. Bai, “Positive solutions of fourth-order boundary value problem with variable parameters”, J. Nonlinear Sci. Appl., vol. 1, no. 1, pp. 21–30, 2008.
Y. Li, “Positive solutions of fourth-order boundary value problems with two parameters”, J. Math. Anal. Appl., vol. 281, no. 2, pp. 477–484, 2003.
Y. Li, “Positive solutions of fourth-order periodic boundary value problems”, Nonlinear Anal., vol. 54, no. 6, pp. 1069–1078, 2003.
X. Liu and W. Li, “Positive solutions of the nonlinear fourth-order beam equation with three parameters”, J. Math. Anal. Appl., vol. 303, no. 1, pp. 150–163, 2005.
R. Ma, “Nodal solutions for a fourth-order two-point boundary value problem”, J. Math. Anal. Appl., vol. 314, no. 1, pp. 254–265, 2006.
W. Shen and T. He, “Bifurcation from interval and positive solutions for a class of fourth- order two-point boundary value problem”, Bound. Value Probl., vol. 2013, Paper No. 170, 12 pages, 2013.
J. R. L. Webb and M. Zima, “Multiple positive solutions of resonant and non-resonant non- local fourth-order boundary value problems”, Glasg. Math. J., vol. 54, no. 1, pp. 225–240, 2012.
Z. L. Wei and C. C. Pang, “Positive solutions and multiplicity of fourth-order m-point boundary value problem with two parameters”, Nonlinear Anal., vol. 67, no. 5, pp. 1586–1598, 2007.
J. Xu and Z. Wei, “Positive solutions for multipoint boundary-value problem with parameters”, Electron. J. Differential Equations, vol. 2008, Paper No. 106, 8 pages, 2008.
B. Yang, “Upper and lower estimates for positive solutions of the higher order Lidstone boundary value problem”, J. Math. Anal. Appl., vol. 382, no. 1, pp. 290–302, 2011.
B. Yang, “Maximum principle for a fourth order boundary value problem”, Differ. Equ. Appl., vol. 9, no. 4, pp. 495–504, 2017.
B. Yang, “Positive solutions to a boundary value problem for the beam equation”, Z. Anal. Anwend., vol. 26, no. 2, pp. 221–230, 2007.
B. Yang, “Estimates of positive solutions to a boundary value problem for the beam equation”, Commun. Math. Anal., vol. 2, no. 1, pp. 13–21, 2007.
Similar Articles
- Jairo Bochi, The basic ergodic theorems, yet again , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
- George A. Anastassiou, Ostrowski-Sugeno fuzzy inequalities , CUBO, A Mathematical Journal: Vol. 21 No. 3 (2019)
- Moussa Barro, Sado Traoré, Level sets regularization with application to optimization problems , CUBO, A Mathematical Journal: Vol. 22 No. 1 (2020)
- T.M.M. Sow, A new iterative method based on the modified proximal-point algorithm for finding a common null point of an infinite family of accretive operators in Banach spaces , CUBO, A Mathematical Journal: Vol. 22 No. 2 (2020)
- Bapurao C. Dhage, Existence and Attractivity Theorems for Nonlinear Hybrid Fractional Integrodifferential Equations with Anticipation and Retardation , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
- David Békollè, Khalil Ezzinbi, Samir Fatajou, Duplex Elvis Houpa Danga, Fritz Mbounja Béssémè, Convolutions in \((\mu,\nu)\)-pseudo-almost periodic and \((\mu,\nu)\)-pseudo-almost automorphic function spaces and applications to solve integral equations , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- K. Kalyani, N. Seshagiri Rao, Coincidence point results of nonlinear contractive mappings in partially ordered metric spaces , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- Chia-chi Tung, Pier Domenico Lamberti, On Rellich‘s Lemma, the Poincaré inequality, and Friedrichs extension of an operator on complex spaces , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- M. Haviar, S. Kurtulík, A new class of graceful graphs: \(k\)-enriched fan graphs and their characterisations , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- Homero G. Díaz-Marín, Osvaldo Osuna, Non-algebraic limit cycles in Holling type III zooplankton-phytoplankton models , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
<< < 15 16 17 18 19 20 21 22 23 24 25 26 > >>
You may also start an advanced similarity search for this article.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2023 L. Wang et. al.

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.