Journal
FILOMAT
Volume 36, Issue 15, Pages 5241-5250Publisher
UNIV NIS, FAC SCI MATH
DOI: 10.2298/FIL2215241L
Keywords
Neutral dynamic equations on time scales; Positive and negative coefficients; Nonoscillatory solutions; The fixed point technique
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In this paper, we establish the existence of nonoscillatory solutions to neutral dynamic equations with positive and negative coefficients on time scales. Two examples are included to illustrate our presented results. The fixed point technique plays a key role in our approaches.
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 R b (x(t) - a p(t, t)x(y(t, t)) increment t) increment + sigma li=1 ri(t)x(6i(t)) - sigma m j=1 sj(t)x(rij(t)) = 0. Two examples are included to illustrate our presented results. In our approaches, a key role is played by the fixed point technique.
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