Averaging method for neutral type impulsive differential equations with supremums
Svetla Dimitrova Milusheva, Drumi Dimitrov Bainov (1991)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Svetla Dimitrova Milusheva, Drumi Dimitrov Bainov (1991)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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P. Besala (1963)
Colloquium Mathematicae
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Alessandra Lunardi (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Vladimir Kozlov, Vladimir Maz'ya (2003)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We derive an asymptotic formula of a new type for variational solutions of the Dirichlet problem for elliptic equations of arbitrary order. The only a priori assumption on the coefficients of the principal part of the equation is the smallness of the local oscillation near the point.
Davide Guidetti (1990)
Rendiconti del Seminario Matematico della Università di Padova
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Joseph G. Conlon, Juan Redondo (1995)
Revista Matemática Iberoamericana
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In this paper we are concerned with studying the Dirichlet problem for an elliptic equation on a domain in R3. For simplicity we shall assume that the domain is a ball ΩR of radius R. Thus: ΩR = {x ∈ R3 : |x| < R}. The equation we are concerned with is given by (-Δ - b(x).∇) u(x) = f(x), x ∈ ΩR, with zero Dirichlet boundary conditions. ...