Existence of positive solutions for a class of higher-order -point boundary value problems.
Luca, R. (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Luca, R. (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Chyan, Chuan Jen, Henderson, Johnny (1999)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Liang, Jin, Lv, Zhi-Wei (2011)
Advances in Difference Equations [electronic only]
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Raffoul, Youssef N. (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Xie, Dapeng, Liu, Yang, Bai, Chuanzhi (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Purnaras, I.K. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Tariboon, Jessada, Sitthiwirattham, Thanin (2010)
Boundary Value Problems [electronic only]
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Liu, Yuji, Ge, Weigao (2005)
Journal of Applied Mathematics
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Purnaras, I.K. (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Ngoc, Le Thi Phuong, Long, Nguyen Thanh (2006)
Fixed Point Theory and Applications [electronic only]
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Svatoslav Staněk (1995)
Annales Polonici Mathematici
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The differential equation of the form , a ∈ (0,∞), is considered and solutions u with u(0) = 0 and (u(t))² + (u’(t))² > 0 on (0,∞) are studied. Theorems about existence, uniqueness, boundedness and dependence of solutions on a parameter are given.
Afrouzi, G.A., Moghaddam, M.Khaleghy (2002)
International Journal of Mathematics and Mathematical Sciences
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S. Staněk (1992)
Annales Polonici Mathematici
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A differential equation of the form (q(t)k(u)u')' = λf(t)h(u)u' depending on the positive parameter λ is considered and nonnegative solutions u such that u(0) = 0, u(t) > 0 for t > 0 are studied. Some theorems about the existence, uniqueness and boundedness of solutions are given.