On existence of singular solutions of -th order differential equations
Miroslav Bartušek (2000)
Archivum Mathematicum
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Miroslav Bartušek (2000)
Archivum Mathematicum
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Ondřej Došlý, Alexander Lomtatidze (1999)
Annales Polonici Mathematici
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We establish Vallée Poussin type disconjugacy and disfocality criteria for the half-linear second order differential equation , where α ∈ (0,1] and the functions are allowed to have singularities at the end points t = a, t = b of the interval under consideration.
Guo, Yanping, Gao, Ying, Zhang, Guang (2002)
Applied Mathematics E-Notes [electronic only]
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Irena Rachůnková, Jan Tomeček (2009)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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The paper investigates singular nonlinear problems arising in hydrodynamics. In particular, it deals with the problem on the half-line of the form The existence of a strictly increasing solution (a homoclinic solution) of this problem is proved by the dynamical systems approach and the lower and upper functions method.
T. Chantladze, Alexander Lomtatidze, Douglas Ugulava (2000)
Archivum Mathematicum
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Conjugacy and disconjugacy criteria are established for the equation where is a locally summable function.