Positive solutions of fourth-order boundary value problem with variable parameters.
Dong, Xin, Bai, Zhanbing (2008)
The Journal of Nonlinear Sciences and its Applications
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Dong, Xin, Bai, Zhanbing (2008)
The Journal of Nonlinear Sciences and its Applications
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Lomtatidze, A., Malaguti, L. (2000)
Georgian Mathematical Journal
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Zhang, Fang (2008)
The Journal of Nonlinear Sciences and its Applications
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Bartušek, M., Osička, J. (2001)
Georgian Mathematical Journal
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Lomtatidze, A. (1994)
Georgian Mathematical Journal
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Ashordia, M. (1996)
Georgian Mathematical Journal
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D. O'Regan (1991)
Annales Polonici Mathematici
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Existence of positive solution to certain classes of singular and nonsingular third order nonlinear two point boundary value problems is examined using the idea of Topological Transversality.
Lomtatidze, A. (1995)
Georgian Mathematical Journal
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Svatoslav Staněk (1993)
Annales Polonici Mathematici
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A differential equation of the form (q(t)k(u)u')' = F(t,u)u' is considered and solutions u with u(0) = 0 are studied on the halfline [0,∞). Theorems about the existence, uniqueness, boundedness and dependence of solutions on a parameter are given.
Hua, Jun, Moseley, James L. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Kiguradze, I., Půža, B., Stavroulakis, I.P. (2001)
Georgian Mathematical Journal
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Mukhigulashvili, S. (2003)
Georgian Mathematical Journal
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Bartušek, Miroslav (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Xingbao Wu (1995)
Annales Polonici Mathematici
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A nonlinear differential equation of the form (q(x)k(x)u')' = F(x,u,u') arising in models of infiltration of water is considered, together with the corresponding differential equation with a positive parameter λ, (q(x)k(x)u')' = λF(x,u,u'). The theorems about existence, uniqueness, boundedness of solution and its dependence on the parameter are established.