A priori estimates for solutions to a four point boundary value problem for singularly perturbed semilinear differential equations.
Vrabel, Robert (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Vrabel, Robert (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Lu, Chunqing (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Galeano Andrades, Rafael, Orozco Herrera, Bernardo, Vasquez-Avila, Maria Ofelia (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Al Bastami, Anas, Belić, Milivoj R., Petrović, Nikola Z. (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Michele Miranda, Diego Pallara, Fabio Paronetto, Marc Preunkert (2007)
Annales de la faculté des sciences de Toulouse Mathématiques
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We prove a characterisation of sets with finite perimeter and functions in terms of the short time behaviour of the heat semigroup in . For sets with smooth boundary a more precise result is shown.
Bahk, Sarah Y., Dyakevich, Nadejda E., Johnson, Stefan C. (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Badraoui, Salah (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Avner Friedman, Bei Hu (1992)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Robert Vrabel (2011)
Kybernetika
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This paper deals with the three-point boundary value problem for the nonlinear singularly perturbed second-order systems. Especially, we focus on an analysis of the solutions in the right endpoint of considered interval from an appearance of the boundary layer point of view. We use the method of lower and upper solutions combined with analysis of the integral equation associated with the class of nonlinear systems considered here.