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]
Infante, G., Pietramala, P. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Zbigniew Leyk (1986)
Numerische Mathematik
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].
Djebali, Smaïl, Moussaoui, Toufik (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Manabu Sakai, Riaz A. Usmani (1987)
Numerische Mathematik
Qingliu Yao (2013)
Annales Polonici Mathematici
We study the existence of positive solutions to a class of singular nonlinear fourth-order boundary value problems in which the nonlinearity may lack homogeneity. By introducing suitable control functions and applying cone expansion and cone compression, we prove three existence theorems. Our main results improve the existence result in [Z. L. Wei, Appl. Math. Comput. 153 (2004), 865-884] where the nonlinearity has a certain homogeneity.
Venkatesulu, M., Baruah, Pallav Kumar (2000)
Journal of Applied Mathematics and Stochastic Analysis
Venkatesulu, M., Baruah, Pallav Kumar (2001)
Journal of Applied Mathematics and Stochastic Analysis
Roos, Hans-Görg, Vanselow, Reiner (2008)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Brown, B.M., Kirby, V.G. (2000)
Journal of Inequalities and Applications [electronic only]
Mahavier, W.T. (1997)
Abstract and Applied Analysis
Nguyen Canh (1974)
Kybernetika
Bougoffa, Lazhar (2004)
Applied Mathematics E-Notes [electronic only]
Krystyna Szafraniec (1989)
Annales Polonici Mathematici
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