Displaying similar documents to “On existence of singular solutions of n -th order differential equations”

Singular problems on the half-line

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 ( p ( t ) u ' ( t ) ) ' = p ( t ) f ( u ( t ) ) , u ' ( 0 ) = 0 , u ( ) = L . 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.