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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Oscillating solutions of third order differential equations


Author: W. R. Utz
Journal: Proc. Amer. Math. Soc. 26 (1970), 273-276
MSC: Primary 34.42
DOI: https://doi.org/10.1090/S0002-9939-1970-0262602-6
MathSciNet review: 0262602
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Abstract: Third order ordinary linear differential equations are investigated with respect to the property of having a basis for solutions that consist of three oscillating solutions yet some nontrivial solution of the equation is nonoscillatory.


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DOI: https://doi.org/10.1090/S0002-9939-1970-0262602-6
Keywords: Differential equations, third order, oscillation, basis of solutions, selfadjoint equations
Article copyright: © Copyright 1970 American Mathematical Society