On singular solutions of a second order differential equation

Warning

This publication doesn't include Faculty of Education. It includes Faculty of Science. Official publication website can be found on muni.cz.

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