On existence of singular solutions of $n$-th order differential equations

Miroslav Bartušek

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Singular solutions of a singular differential equation.

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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 ${(p (t) u^{'} (t))}^{'} = p (t) f (u (t)),$ $u^{'} (0) = 0, u (\infty) = L .$ 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.

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Miroslav Bartušek (2001)

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On complete solutions and complete singular solutions of second order ordinary differential equations

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A complete solution of an implicit second order ordinary differential equation is defined by an immersive two-parameter family of geometric solutions on the equation hypersurface. We show that a completely integrable equation is either of Clairaut type or of first order type. Moreover, we define a complete singular solution, an immersive one-parameter family of singular solutions on the contact singular set. We give conditions for existence of a complete solution and a complete singular...

Self-similar singular solution of doubly singular parabolic equation with gradient absorption term.

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

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