Regular half-linear second order differential equations

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Authors	DOŠLÝ Ondřej ŘEZNÍČKOVÁ Jana
Year of publication	2003
Type	Article in Periodical
Magazine / Source	Arch. Math.
MU Faculty or unit	Faculty of Science
Citation
Web	http://www.math.muni.cz/~archmath
Field	General mathematics
Keywords	Regular half-linear equation; principal solution; integral characterization
Description	The concept of the regular half-linear second order differential equation is introduced. It is shown that a nonoscillatory solution of this equation is principal if and only if a certain improper integral is divergent. Examples regular equations are given.
Related projects:	Qualitative theory of solutions of difference equations Functional-differential equations and mathematical-statistical models