On nonoscillatory solutions of fourth-order differential equations

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Authors	BARTUŠEK Miroslav
Year of publication	2001
Type	Article in Proceedings
Conference	Proceedings of Dynamic systems and applications
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	Nonoscillatory solutions; fourth-order equations with middle term
Description	The fourth-order differential equation in the self-adjoint form y''''-(qy')'+rf(y)=0 is studied where r>=0 and f(x)x>0 for x is different from zero.All nonoscillatory solutions are divided into the classes according to oscillatory/nonoscillatory characters of y,y',y'', y''',and sufficient conditions are given for these classes to be empty.
Related projects:	Qualitative theory of differential equations