Comparison theorems for second-order neutral differential equations of mixed type.
Oscillation of solutions to odd-order nonlinear neutral functional differential equations.
Oscillation for second-order nonlinear delay dynamic equations on time scales.
Existence of nonoscillatory solutions to second-order neutral delay dynamic equations on time scales.
Oscillatory behavior of quasilinear neutral delay dynamic equations on time scales.
On the oscillation of second-order neutral delay differential equations.
Forced oscillation of second-order nonlinear dynamic equations on time scales.
Oscillation criteria for second-order quasilinear neutral delay dynamic equations on time scales.
Oscillation behavior of third-order neutral Emden-Fowler delay dynamic equations on time scales.
Oscillation criteria for second-order nonlinear neutral delay differential equations.
Oscillation of even-order neutral delay differential equations.
Oscillation behavior of a class of second-order dynamic equations with damping on time scales.
Oscillation criteria for certain second-order nonlinear neutral differential equations of mixed type.
Oscillation criteria for second-order superlinear neutral differential equations.
Oscillation of second-order neutral functional differential equations with mixed nonlinearities.
Oscillation criteria for a class of second-order neutral delay dynamic equations of Emden-Fowler type.
On the oscillation of third-order quasi-linear neutral functional differential equations
The aim of this paper is to study asymptotic properties of the third-order quasi-linear neutral functional differential equation where , and . By using Riccati transformation, we establish some sufficient conditions which ensure that every solution of () is either oscillatory or converges to zero. These results improve some known results in the literature. Two examples are given to illustrate the main results.
Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions
Oscillation criteria for third order nonlinear delay dynamic equations on time scales
By means of Riccati transformation technique, we establish some new oscillation criteria for third-order nonlinear delay dynamic equations on a time scale ; here γ > 0 is a quotient of odd positive integers and p a real-valued positive rd-continuous function defined on . Our results not only extend and improve the results of T. S. Hassan [Math. Comput. Modelling 49 (2009)] but also unify the results on oscillation of third-order delay differential equations and third-order delay difference...
Oscillation of fourth-order quasilinear differential equations
We study oscillatory behavior of a class of fourth-order quasilinear differential equations without imposing restrictive conditions on the deviated argument. This allows applications to functional differential equations with delayed and advanced arguments, and not only these. New theorems are based on a thorough analysis of possible behavior of nonoscillatory solutions; they complement and improve a number of results reported in the literature. Three illustrative examples are presented.
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