A barrier method for quasilinear ordinary differential equations of the curvature type
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Toshiaki Kusahara, Hiroyuki Usami (2000)
Czechoslovak Mathematical Journal
Hetzer, Georg (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Martina Pavlačková (2010)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
In this paper, the existence and the localization result will be proven for vector Dirichlet problem with an upper-Carathéodory right-hand side. The result will be obtained by combining the continuation principle with bound sets technique.
Lee, Tai-Chi (1978)
Portugaliae mathematica
Kosmatov, Nickolai (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Michal Fečkan (1992)
Mathematica Bohemica
The existence of classical solutions for some partial differential equations on tori is shown.
Gabriele Bonanno, Salvatore A. Marano (1995)
Commentationes Mathematicae Universitatis Carolinae
The aim of this short note is to present a theorem that characterizes the existence of solutions to a class of higher order boundary value problems. This result completely answers a question previously set by the authors in [Differential Integral Equations 6 (1993), 1119–1123].
Nguyen Canh (1974)
Kybernetika
Pavel Calábek (1994)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Song, Wenjing, Gao, Wenjie (2011)
Boundary Value Problems [electronic only]
P. Hallet, J.P. Hennart, E.H. Mund (1976/1977)
Numerische Mathematik
Tomiczek, Petr (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Cheng, Yuanji (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Daqing Jiang, Junyu Wang (1997)
Annales Polonici Mathematici
The generalized periodic boundary value problem -[g(u’)]’ = f(t,u,u’), a < t < b, with u(a) = ξu(b) + c and u’(b) = ηu’(a) is studied by using the generalized method of upper and lower solutions, where ξ,η ≥ 0, a, b, c are given real numbers, , p > 1, and f is a Carathéodory function satisfying a Nagumo condition. The problem has a solution if and only if there exists a lower solution α and an upper solution β with α(t) ≤ β(t) for a ≤ t ≤ b.
Nieto, Juan J., Cabada, Alberto (1992)
Journal of Applied Mathematics and Stochastic Analysis
Rynne, Bryan P. (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Ma, Ruyun, Xu, Youji, Gao, Chenghua (2009)
Advances in Difference Equations [electronic only]
Mawhin, Jean, Ureña, Antonio J. (2002)
Journal of Inequalities and Applications [electronic only]
Usón-Forniés, Fernando (2000)
Revista Colombiana de Matemáticas
Afrouzi, Ghasem Alizadeh, Heidarkhani, Shapour (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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