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Math Help - oscillation behaviour

  1. #1
    Junior Member mathemanyak's Avatar
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    oscillation behaviour

    If y''(t)+p(t)y=0 is nonoscillatory then y''(t)+p(t)y=f(t) is nonoscillatory. p(t) =>0 and f(t)=>0 and f(t) continuous function.
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  2. #2
    Super Member Rebesques's Avatar
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    You need just show that if the non-homogeneous problem has oscillatory solutions, then the homogeneous problem has oscillatory solutions.
    Now, if y solves the non-homogeneous problem and w solves the homogeneous one, then y-w solves the non-homogeneous problem.
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