New sufficient conditions for the oscillation of all solutions to a class of odd-order differential equations with a nonpositive sublinear neutral term and distributed deviating arguments are ...established. Example are included to illustrate the results.
The oscillatory behavior of the solutions to a differential equation with several non-monotone arguments and nonnegative coefficients is studied, and some new oscillation criteria are given. More ...precisely, sufficient conditions in terms of limsup and liminf are established, which essentially improve several known criteria existing in the literature. The results are illustrated by examples numerically solved in MATLAB.
This paper deals with the oscillation of the fourth‐order linear delay differential equation with a negative middle term under the assumption that all solutions of the auxiliary third‐order ...differential equation are nonoscillatory. Examples are included to illustrate the importance of results obtained.
In this paper, we present a single-condition sharp criterion for the oscillation of the fourth-order linear delay differential equation
x
(
4
)
(
t
)
+
p
(
t
)
x
(
τ
(
t
)
)
=
0
by employing a novel ...method of iteratively improved monotonicity properties of nonoscillatory solutions. The result obtained improves a large number of existing ones in the literature.
This paper deals with the asymptotic behavior of the nonoscillatory solutions of a certain forced fractional differential equations with positive and negative terms, involving the Caputo fractional ...derivative. The results obtained are new and generalize some known results appearing in the literature. Two examples are also provided to illustrate the results.
Oscillation criteria generalizing a series of earlier results are established, for deviating difference equations with non-monotone arguments, based on an iterative method. The results and the ...improvement achieved over the other known criteria is illustrated by an example, numerically solved in MATLAB.
The oscillation of the first-order linear difference equations with several non-monotone deviating arguments and nonnegative coefficients is investigated, using an iterative procedure. The conditions ...obtained by this method achieve a marked improvement on all known conditions in the literature. Examples, numerically solved in MATLAB, are also given to illustrate the applicability and strength of the results.
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