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Existence of bounded and unbounded non-oscillatory solutions for partial difference equations - MaRDI portal

Existence of bounded and unbounded non-oscillatory solutions for partial difference equations (Q2473227)

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Existence of bounded and unbounded non-oscillatory solutions for partial difference equations
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    Existence of bounded and unbounded non-oscillatory solutions for partial difference equations (English)
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    26 February 2008
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    The authors investigate higher-order neutral partial difference equations. The definition of a non-oscillatory around \(0\) solution is given. Conditions for the existence of bounded and unbounded non-oscillatory solutions are presented. Some new sufficient conditions for bounded non-oscillatory solutions are obtained. Examples are presented too.
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    neutral partial difference equations
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    non-oscillatory solutions
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    fixed point theorem
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    contraction mapping
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    variable coefficients
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    bounded solution
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    unbounded solution
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