2022
DOI: 10.1002/mma.8534
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Comparison theorems on the oscillation of even order nonlinear mixed neutral differential equations

Abstract: This study purposes to present some new comparison theorems that guarantee the oscillation of all solutions of even order functional differential equations with a neutral term including both advanced and delayed arguments. The obtained results are based on comparisons with associated first-order delay differential inequalities and first-order delay differential equations, and they are applicable to the both cases where the neutral coefficients are unbounded and/or bounded. In the last section, several examples… Show more

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Cited by 6 publications
(3 citation statements)
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“…Moreover, one may trace the variation of fractional DDEs in Survey [22]. Whereas [23][24][25] dealt with damping equations, and [26][27][28][29] studied mixed equations. Over the past 20 years, functional dynamic equations have also drawn a lot of attention; see, for instance, [30][31][32].…”
Section: Introductionmentioning
confidence: 99%
“…Moreover, one may trace the variation of fractional DDEs in Survey [22]. Whereas [23][24][25] dealt with damping equations, and [26][27][28][29] studied mixed equations. Over the past 20 years, functional dynamic equations have also drawn a lot of attention; see, for instance, [30][31][32].…”
Section: Introductionmentioning
confidence: 99%
“…Philos [14] and Santra et al [15,16] were interested in first-order differential equations. While, the works in [17][18][19][20][21][22] were concerned with even-and odd-order differential equations, with their various classifications. By reviewing the previous literature, we can note that it included three basic steps in the conclusion of oscillation criteria, regardless of the quality.…”
Section: Introductionmentioning
confidence: 99%
“…The study of oscillation for ordinary and fractional DE solutions with delay, neutral, mixed, or damping terms is currently included in the oscillation theory, which has recently seen significant growth and development. For instance, you can find delay equations in [8][9][10][11], mixed equations in [12][13][14][15][16], and neutral equations in [17][18][19][20].…”
Section: Introductionmentioning
confidence: 99%