Oscillation Criteria for Second-Order Differential Systems

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Sep 1978Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 71, page 247 (issn: 0002-9939,

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Authors: Ahmad, Shair; Travis, C. C.;

doi: 10.2307/2042843 , 10.1090/s0002-9939-1978-0486792-2

Oscillation Criteria for Second-Order Differential Systems

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Abstract

Sufficient conditions for the oscillation of solutions to the differential system X ( t ) + A ( t ) X ( t ) = 0 X(t) + A(t)X(t) = 0 are established which are valid when the matrix A is not symmetric. An example is given to demonstrate that a condition known to be sufficient for the oscillation of solutions when A is symmetric is not valid in the nonsymmetric case.

Related Organizations

Oak Ridge National Laboratory
United States
Oklahoma State University–Stillwater
United States

Keywords

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations

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