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- W1506680237 abstract "A linear<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math>th-order discrete delayed equation<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>Δ</mml:mi><mml:mi>x</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mo>−</mml:mo><mml:mi>p</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mi>x</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>n</mml:mi><mml:mo>−</mml:mo><mml:mi>k</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math>where<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>p</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>a positive sequence is considered for<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>n</mml:mi><mml:mo>→</mml:mo><mml:mi>∞</mml:mi></mml:math>. This equation is known to have a positive solution if the sequence<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>p</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>satisfies an inequality. Our aim is to show that, in the case of the opposite inequality for<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>p</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>, all solutions of the equation considered are oscillating for<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>n</mml:mi><mml:mo>→</mml:mo><mml:mi>∞</mml:mi></mml:math>." @default.
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- W1506680237 date "2011-01-01" @default.
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- W1506680237 title "A Final Result on the Oscillation of Solutions of the Linear Discrete Delayed Equation<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mi>Δ</mml:mi><mml:mi>x</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mo>−</mml:mo><mml:mi>p</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mi>x</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>n</mml:mi><mml:mo>−</mml:mo><mml:mi>k</mml…" @default.
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