Oscillation of Second-Order Emden–Fowler Neutral Differential Equations with Advanced and Delay Arguments

In this paper, we study the oscillation of the second-order Emden–Fowler neutral differential equations with advanced and delay arguments ( r ( t ) ( x ( t ) + p ( t ) x ( τ ( t ) ) ) ′ ) ′ + q ( t ) x γ ( σ ( t ) ) = 0 , t ⩾ t 0 , where τ ( t ) ⩽ t , σ ( t ) ⩾ t . Sufficient conditions for oscillat...

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Bibliographic Details
Published in:Bulletin of the Malaysian Mathematical Sciences Society 2020-09, Vol.43 (5), p.3777-3790
Main Authors: Feng, Limei, Sun, Shurong
Format: Article
Language:English
Subjects:
Applications of Mathematics
Differential equations
Mathematical analysis
Mathematics
Mathematics and Statistics
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Summary:In this paper, we study the oscillation of the second-order Emden–Fowler neutral differential equations with advanced and delay arguments ( r ( t ) ( x ( t ) + p ( t ) x ( τ ( t ) ) ) ′ ) ′ + q ( t ) x γ ( σ ( t ) ) = 0 , t ⩾ t 0 , where τ ( t ) ⩽ t , σ ( t ) ⩾ t . Sufficient conditions for oscillation of the equation are obtained by using the inequality principle, comparison principle and Riccati transform. Two examples are given to illustrate the results.
ISSN:0126-6705
2180-4206
DOI:10.1007/s40840-020-00901-2