Geodesic
Nonoscillatory solutions of neutral dynamic equations with positive and negative coefficients on time scales
Filomat, Tome 36 (2022) no. 15, p. 5241

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DOI

In this paper, we establish the existence of nonoscillatory solutions to neutral dynamic equations with positive and negative coefficients on time scales of the form (x(t) − b a p(t, τ)x((t, τ))∆τ) ∆ + l i=1 r i (t)x(δ i (t)) − m j=1 s j (t)x(η j (t)) = 0. Two examples are included to illustrate our presented results. In our approaches, a key role is played by the fixed point technique.
DOI : 10.2298/FIL2215241L
Classification : 34K11, 34K40, 34N05
Keywords: Neutral dynamic equations on time scales, Positive and negative coefficients, Nonoscillatory solutions, The fixed point technique 
Zhimin Luo; Qiru Wang; Xiuli Wu. Nonoscillatory solutions of neutral dynamic equations with positive and negative coefficients on time scales. Filomat, Tome 36 (2022) no. 15, p. 5241 . doi: 10.2298/FIL2215241L
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     title = {Nonoscillatory solutions of neutral dynamic equations with positive and negative coefficients on time scales},
     journal = {Filomat},
     pages = {5241 },
     year = {2022},
     volume = {36},
     number = {15},
     doi = {10.2298/FIL2215241L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2215241L/}
}
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