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In local terms on finite and infinite intervals we obtain necessary and sufficient conditions for the conjugacy and disconjugacy of the following second order half-linear difference equation ∆(ρi|∆yi|∆yi) + vi|yi+1|yi+1… Click to show full abstract
In local terms on finite and infinite intervals we obtain necessary and sufficient conditions for the conjugacy and disconjugacy of the following second order half-linear difference equation ∆(ρi|∆yi|∆yi) + vi|yi+1|yi+1 = 0, i = 0, 1, 2, . . . , where 1 < p < ∞, ∆yi = yi+1 − yi, {ρi} and {vi} are sequences of positive and nonnegative real numbers, respectively. Moreover, we study oscillation and non-oscillation properties of this equation.
Keywords:
order half;
second order;
linear difference;
half linear;
difference equation
Journal Title: Electronic Journal of Qualitative Theory of Differential Equations
Year Published: 2017
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Journal Title: Electronic Journal of Qualitative Theory of Differential Equations
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!