On the positive solutions of a higher order functional differential equation with a discontinuity.
Graef, John R., Spikes, Paul W., Grammatikopoulos, Myron K. (1982)
International Journal of Mathematics and Mathematical Sciences
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Graef, John R., Spikes, Paul W., Grammatikopoulos, Myron K. (1982)
International Journal of Mathematics and Mathematical Sciences
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Purnaras, I.K. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [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.
Islam, M., Neugebauer, J.T. (2008)
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.
Purnaras, I.K. (2006)
Electronic Journal of Qualitative Theory of Differential 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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Kroopnick, Allan (2008)
Applied Mathematics E-Notes [electronic only]
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Berroug, Tarik (2010)
Applied Mathematics E-Notes [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.