Existence of positive solution for semipositone second-order three-point boundary-value problem.
Sun, Jian-Ping, Wei, Jia (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Sun, Jian-Ping (2009)
Boundary Value Problems [electronic only]
Kyriakos G. Mavridis (2014)
Annales Polonici Mathematici
We give conditions which guarantee the existence of positive solutions for a variety of arbitrary order boundary value problems for which all boundary conditions involve functionals, using the well-known Krasnosel'skiĭ fixed point theorem. The conditions presented here deal with a variety of problems, which correspond to various functionals, in a uniform way. The applicability of the results obtained is demonstrated by a numerical application.
Luca, R. (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Zhang, Xuemei, Ge, Weigao (2008)
Advances in Difference Equations [electronic only]
Ravi P. Agarwal, B. Kovacs, D. O'Regan (2014)
Annales Polonici Mathematici
This paper investigates the existence of positive solutions for a fourth-order differential system using a fixed point theorem of cone expansion and compression type.
Anderson, Douglas R., Minhós, Feliz (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Amina Boucenna, Toufik Moussaoui (2014)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
The aim of this paper is to study the existence of solutions to a boundary value problem associated to a nonlinear fractional differential equation where the nonlinear term depends on a fractional derivative of lower order posed on the half-line. An appropriate compactness criterion and suitable Banach spaces are used and so a fixed point theorem is applied to obtain fixed points which are solutions of our problem.
Ruyun Ma (2003)
Annales Polonici Mathematici
We study the existence of positive solutions of the nonlinear fourth order problem , u(0) = u’(0) = u”(1) = u”’(1) = 0, where a: [0,1] → ℝ may change sign, f(0) < 0, and λ < 0 is sufficiently small. Our approach is based on the Leray-Schauder fixed point theorem.
Zhou, Wenshu (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Zhang, Xingqiu (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Liu, Shu, Jia, Mei, Tian, Yingqiang (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Bai, Chuanzhi (2006)
Boundary Value Problems [electronic only]
Zhang, Ying, Qiao, Shidong (2009)
Discrete Dynamics in Nature and Society
Karna, B., Lawrence, B. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Zhang, Meng, Sun, Shurong, Han, Zhenlai (2009)
Advances in Difference Equations [electronic only]
Li, Jianli, Nieto, Juan J. (2009)
Boundary Value Problems [electronic only]
Babakhani, Azizollah, Daftardar-Gejji, Varsha (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Ammi, Moulay Rchid Sidi, Torres, Delfim F.M. (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Ma, Shuang-Hong, Sun, Jian-Ping, Wang, Da-Bin (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]