Noncanonical Neutral DDEs of Second-Order: New Sufficient Conditions for Oscillation
نویسندگان
چکیده
In this paper, new oscillation conditions for the 2nd-order noncanonical neutral differential equation (a0t((ut+a1tug0t)′)β)′+a2tuβg1t=0, where t≥t0, are established. Using Riccati substitution and comparison with an of first-order, we obtain criteria that ensure studied equation. Furthermore, complement improve previous results in literature.
منابع مشابه
Necessary and sufficient conditions for oscillation of first order neutral delay difference equations
In this paper, we obtained some necessary and sufficient conditions for oscillation of all the solutions of the first order neutral delay difference equation with constant coefficients of the form ∆[x(n)− px(n− τ)] + qx(n− σ) = 0, n ≥ n0 (∗) by constructing several suitable auxiliary functions. Some examples are also given to illustrate our results.
متن کاملSufficient Conditions for a New Class of Polynomial Analytic Functions of Reciprocal Order alpha
In this paper, we consider a new class of analytic functions in the unit disk using polynomials of order alpha. We give some sufficient conditions for functions belonging to this class.
متن کاملOscillation theorems for second order neutral differential equations
In this paper new oscillation criteria for the second order neutral differential equations of the form (E) ` r(t) [x(t) + p(t)x(τ (t))]′ ́ ′ + q(t)x(σ(t)) + v(t)x(η(t)) = 0 are presented. Gained results are based on the new comparison theorems, that enable us to reduce the problem of the oscillation of the second order equation to the oscillation of the first order equation. Obtained comparison ...
متن کاملOscillation for a second-order neutral differential equation with impulses
We consider a certain type of second-order neutral delay differential systems and we establish two results concerning the oscillation of solutions after the system undergoes controlled abrupt perturbations (called impulses). As a matter of fact, some particular non-impulsive cases of the system are oscillatory already. Thus, we are interested in finding adequate impulse controls under which our...
متن کاملOscillation criteria for second order nonlinear neutral differential equations
This paper is concerned with the oscillation of second-order nonlinear neutral differential equations of the form [ r(t)[(x(t) + p(t)x(σ(t)))′]γ ]′ + f(t, x(τ(t))) = 0, by using a generalized Riccati’s technique and integral averaging technique, we establish new oscillation results which handle some cases not covered by known criteria.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics
سال: 2021
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math9172026