Existence of positive solutions for singular second order boundary value problems.
Guo, Yanping, Gao, Ying, Zhang, Guang (2002)
Applied Mathematics E-Notes [electronic only]
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Guo, Yanping, Gao, Ying, Zhang, Guang (2002)
Applied Mathematics E-Notes [electronic only]
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Berroug, Tarik (2010)
Applied Mathematics E-Notes [electronic only]
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Purnaras, I.K. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Jiří Šremr (2007)
Mathematica Bohemica
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We establish new efficient conditions sufficient for the unique solvability of the initial value problem for two-dimensional systems of linear functional differential equations with monotone operators.
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.
Liang, Jin, Lv, Zhi-Wei (2011)
Advances in Difference Equations [electronic only]
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Burton, T.A. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Islam, M., Neugebauer, J.T. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Purnaras, I.K. (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Alexander Lomtatidze, Jiří Šremr (2012)
Czechoslovak Mathematical Journal
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We study the question of the existence, uniqueness, and continuous dependence on parameters of the Carathéodory solutions to the Cauchy problem for linear partial functional-differential equations of hyperbolic type. A theorem on the Fredholm alternative is also proved. The results obtained are new even in the case of equations without argument deviations, because we do not suppose absolute continuity of the function the Cauchy problem is prescribed on, which is rather usual assumption...