On the boundary value problem arising in the radially symmetrical filtration of fluid
J. Goncerzewicz (1983)
Applicationes Mathematicae
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J. Goncerzewicz (1983)
Applicationes Mathematicae
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A. Lasota (1980)
Annales Polonici Mathematici
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Tujin Kim (2022)
Applications of Mathematics
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In this paper we are concerned with the steady Boussinesq system with mixed boundary conditions. The boundary conditions for fluid may include Tresca slip, leak, one-sided leak, velocity, vorticity, pressure and stress conditions together and the conditions for temperature may include Dirichlet, Neumann and Robin conditions together. For the problem involving the static pressure and stress boundary conditions, it is proved that if the data of the problem are small enough, then there...
Henderson, Johnny, Ma, Ding (2006)
Boundary Value Problems [electronic only]
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Henderson, Johnny, Johnson, Alvina M. (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Henderson, Johnny (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Milan Đurić (1965)
Publications de l'Institut Mathématique
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Nikolskij, S.
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O. Gil, F. Quirós (2003)
Annales de l'I.H.P. Analyse non linéaire
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P. Ch. Tsamatos (2004)
Annales Polonici Mathematici
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We study a nonlocal boundary value problem for the equation x''(t) + f(t,x(t),x'(t)) = 0, t ∈ [0,1]. By applying fixed point theorems on appropriate cones, we prove that this boundary value problem admits positive solutions with slope in a given annulus. It is remarkable that we do not assume f≥0. Here the sign of the function f may change.