New results on the positive solutions of nonlinear second-order differential systems.
Guo, Yingxin (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Guo, Yingxin (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Cabada, Alberto, Cid, J.Ángel, Sanchez, Luís (2011)
Boundary Value Problems [electronic only]
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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.
Cabada, Alberto, Cid, José Ángel (2011)
Abstract and Applied Analysis
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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.
Khan, Rahmat Ali (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Afrouzi, G.A., Moghaddam, M.Khaleghy (2002)
International Journal of Mathematics and Mathematical Sciences
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Xu, Fuyi, Liu, Jian (2010)
Discrete Dynamics in Nature and Society
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Liang, Jin, Lv, Zhi-Wei (2011)
Advances in Difference Equations [electronic only]
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Luca, R. (2010)
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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Gen Qiang Wang, Sui-Sun Cheng (2007)
Czechoslovak Mathematical Journal
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By using Mawhin’s continuation theorem, the existence of even solutions with minimum positive period for a class of higher order nonlinear Duffing differential equations is studied.