Uniqueness of solutions for fourth-order nonlocal boundary value problems.
Henderson, Johnny, Ma, Ding (2006)
Boundary Value Problems [electronic only]
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Henderson, Johnny, Ma, Ding (2006)
Boundary Value Problems [electronic only]
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A. Lasota (1980)
Annales Polonici Mathematici
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Henderson, Johnny (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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M. Greguš (1974)
Annales Polonici Mathematici
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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.
Xi, Shouliang, Jia, Mei, Ji, Huipeng (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Eloe, Paul W. (2004)
Advances in Difference Equations [electronic only]
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A. R. Aftabizadeh, Joseph Wiener (1986)
Rendiconti del Seminario Matematico della Università di Padova
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Kwong, Man Kam, Wong, James S.W. (2007)
Boundary Value Problems [electronic only]
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Józef Wenety Myjak (1973)
Annales Polonici Mathematici
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Ashordia, M. (1995)
Memoirs on Differential Equations and Mathematical Physics
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K. S. Padmanabhan, R. Parvatham (1976)
Annales Polonici Mathematici
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A. Lasota (1975)
Annales Polonici Mathematici
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L. H. Erbe, H. W. Knobloch (1990)
Annales Polonici Mathematici
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