On singular solutions of a second order differential equation

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Authors	BARTUŠEK Miroslav
Year of publication	2006
Type	Article in Periodical
Magazine / Source	Electronic Journal of Qualitative Theory of Differential Equations
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	nonlinear second order differential equations;singular solutions;noncontinuable solutions
Description	Sufficient conditions are given under which all nontrivial solutions of (g(a(t)y'))' + r(t)f(y) = 0 are proper where a > 0,r > 0, f(x)x>0 , g(x)x>0 for x is different from zero and g is increasing.A sufficient conditions for the existence of a noncontinuable solution is given.
Related projects:	Mathematical structures and their physical applications Limited properties of solutions of differential equations